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*o  ,  23-73 

NASA 
Technical 
Paper 
2273 

AVSCOM 
Technical 
Report 
83-A-17 

February  1984 


NASA 


ENGINEERING 


Airfoil  Interaction  With 
an  Impinging  Vortex 


K.  W.  McAlister 
and  C.  Tung 


WITHDRAWN 
Unive  of 

Illinois  *ry 


at  Urban 


aign 


The  library  of  the 

MAR  Z  1 1984 

"njvetsity  of  OHnon 

at  urhana-ChnmoPitT/, 


UNIVERSITY  OF  ILLINOIS-URBANA 


3  0112  106710061 


NASA 
Technical 
Paper 
2273 

AVSCOM 
Technical 
Report 
83-A-17 

1984 


WASA 

National  Aeronautics 
and  Space  Administration 


Scientific  and  Technical 
Information  Branch 


Airfoil  Interaction  With 
an  Impinging  Vortex 


K.  W.  McAlister 
and  C.  Tung 

Aeromechanics  Laboratory 

USAAVSCOM  Research  and  Technology  Laboratories 

Ames  Research  Center 

Moffett  Field,  California 


SYMBOLS 


C     chord  of  downstream  airfoil,  m 
Cj   drag  coefficient 


Cn    lift  coefficient 


C  quarter-chord  pitching-moment  coefficient 

c  chord  of  generator  airfoil,  m 

Re  Reynolds  number,  U^C/v 

r  radial  distance  from  the  vortex  center,  m 


[/qq  free-stream  velocity,  m/sec 

w     circumferential -velocity  component,  m/sec 

a      airfoil  incidence,  deg 

a      generator  incidence,  deg 

T     circulation 

v      kinematic  viscosity,  m2 /sec 


m 


Digitized  by  the  Internet  Archive 

in  2013 


http://archive.org/details/airfoilinteractiOOmcal 


SUMMARY 


The  tip  of  a  finite-span  airfoil  was  used  to  generate  a  streamwise  vortical  flow,  the 
strength  of  which  could  be  varied  by  changing  the  incidence  of  the  airfoil.  The  vortex  that 
was  generated  traveled  downstream  and  interacted  with  a  second  airfoil  on  which  measure- 
ments of  lift,  drag,  and  pitching  moment  were  made.  The  flow  field,  including  the  vortex 
core,  was  visualized  in  order  to  study  the  structural  alterations  to  the  vortex  resulting  from 
various  levels  of  encounter  with  the  downstream  airfoil.  These  observations  were  also  used 
to  evaluate  the  accuracy  of  a  theoretical  model. 


1.  INTRODUCTION 


The  vortices  that  are  generated  by  missiles,  canards, 
wings,  and  rotor-blade  tips  often  have  a  detrimental  effect 
on  the  flow  fields  of  other  control  or  lifting  surfaces.  One  of 
the  most  elementary  models  of  this  type  of  flow  interaction 
is  provided  by  the  passage  of  a  streamwise  vortex  near  a 
downstream  lifting  airfoil.  For  an  accurate  calculation  of  this 
flow  field,  it  is  necessary  to  correctly  account  for  (1)  the 
time-varying  viscous  structure  of  the  vortex;  (2)  the  three- 
dimensional  viscous  flow  over  the  airfoil,  including  the  shed- 
ding of  its  own  wake;  and  (3)  the  nonlinear  path  of  the 
vortex  resulting  from  its  interaction  with  the  airfoil.  From 
the  experimenters'  point  of  view,  the  challenge  is  (1)  to  pro- 
duce a  fully  developed,  steady,  and  well-defined  vortex  in 
the   flow,  without  the  attendant  wake   of  the  generator, 

(2)  to   correctly   scale  the  vortex-airfoil  interaction,  and 

(3)  to  provide  suitable  measurements  in  sufficient  detail  to 
meet  the  level  of  evaluation  required. 

The  mathematical  model  for  the  impinging  vortex  has 
ranged  in  complexity  from  that  of  an  in  viscid -line  vortex 
fixed  along  a  rectilinear  path,  to  a  viscous-core  vortex  devel- 
oping along  an  unprescribed  path.  Similarly,  the  mathemati- 
cal model  for  the  interacting  airfoil  has  evolved  from  a  simple 
lifting-line  theory  to  a  dense  vortex-lattice  representation 
(refs.  1-3).  Numerous  experiments  have  been  performed  to 
assess  the  value  of  various  combinations  of  these  computa- 
tional models,  as  well  as  to  define  the  flow  field  and  resultant 
loads  on  the  airfoil  during  the  interaction.  These  studies  have 
shown  that  when  details  of  the  flow  are  required  (such  as  air- 
foil pressure  distribution)  during  a  close  vortex  encounter 
(roughly  within  one  core  diameter),  only  the  most  compre- 
hensive models  are  capable  of  providing  calculations  with 
acceptable  accuracy.  In  those  cases  in  which  the  vortex  inter- 
action is  severe  enough  to  cause  separation  on  the  airfoil,  the 
choice  of  models  must  be  narrowed  to  the  few  that  include 
the  boundary  layer.  Furthermore,  the  boundary -layer  model 


must  be  three  dimensional  to  account  for  the  strong  spanwise 
flow  component  caused  by  the  interaction  (ref.  4).  Recogni- 
tion of  the  boundary  layer  is  an  important  factor  in  deter- 
mining the  full  effect  of  the  vortex-airfoil  interaction  since 
vortex-induced  separation  on  the  airfoil  has  been  found  to 
substantially  limit  the  extent  of  the  induced  loads  (ref.  5). 
Only  recently  have  codes  become  available  that  are  capable 
of  treating  the  vortex  interaction  problem  where  flow  separa- 
tion is  present  (ref.  6),  and  the  results  from  one  of  these  will 
be  examined  in  light  of  the  present  experiment. 

Although  many  noteworthy  vortex  interaction  studies 
have  preceded  this  investigation,  some  aspects  of  the  problem 
have  not  been  sufficiently  addressed  and  therefore  remain  in 
question.  Specifically,  these  questions  concern  the  alterations 
to  both  the  trajectory  and  stability  of  the  vortex,  as  well  as 
the  overall  performance  of  the  airfoil  resulting  from  the 
interaction.  This  subject  can  be  most  simply  addressed  by 
considering  the  case  for  a  streamwise-oriented  vortex  encoun- 
tering a  two-dimensional  lifting  airfoil.  Those  questions  per- 
taining to  the  vortex  are  (1)  Does  the  path  of  the  vortex 
essentially  conform  to  the  streamline  pattern  existing  for  the 
airfoil  alone?  (2)  To  what  extent  does  the  strength  of  the 
vortex  influence  its  trajectory?  and  (3)  Is  proximity  to  the 
airfoil  sufficient  to  cause  an  appreciable  diffusion  or  break- 
down of  the  vortex?  Those  questions  regarding  airfoil  per- 
formance are  (1)  How  does  the  presence  of  a  nearby  vortex 
(either  passing  above  or  below  the  airfoil)  affect  the  airfoil 
stall?  and  (2)  To  what  extent  are  the  total  pre-stall  loads  on 
the  airfoil  affected  by  a  direct  vortex  impingement?  These 
questions  were  to  be  addressed  in  the  present  experiment  by 
visualizing  the  vortex  and  the  airfoil  boundary  layer,  along 
with  direct  measurements  of  airfoil  lift,  drag,  and  pitching 
moment. 

In  addition  to  obtaining  certain  physical  insights  into  the 
subject  of  vortex-airfoil  interactions,  there  was  an  interest  in 
comparing  the  results  of  the  experiment  with  the  calculations 
of  a  promising  mathematical  model.  This  comparison  would 
not  only  provide  an  opportunity  to  evaluate  the  accuracy  of 


the  model,  but  would  also  form  the  basis  on  which  any 
refinements  to  the  model  are  made. 

The  authors  would  like  to  acknowledge  and  express  their 
appreciation  to  Rabindra  Mehta,  T.  T.  Lim,  and  Raymond 
Pi/.iali,  who  reviewed  the  original  manuscript.  They  provided 
valuable  challenges  to  various  technical  issues  raised  by  the 
authors,  and  in  so  doing,  contributed  greatly  to  the  readabil- 
ity and  accuracy  of  the  final  report.  The  authors  would  also 
like  to  thank  Brian  Maskew  (Analytical  Methods,  Inc.)  for 
contributing  the  theoretical  model,  for  supporting  the  com- 
parison with  the  experimental  results  in  an  unbiased  manner, 
and  for  so  kindly  providing  counsel  whenever  it  was  required. 


2.  DESCRIPTION  OF  THE  EXPERIMENT 


This  study  was  conducted  in  the  4000-liter,  closed- 
circuit  water  tunnel  facility  at  the  Aeromechanics  Labora- 
tory, Ames  Research  Center  (fig.  1).  This  was  a  particularly 
suitable  facility  for  this  investigation  because  of  the  ease  of 
obtaining  definitive  visualizations  of  the  vortex  and  the 
advantage  of  examining  on-line  the  resultant  loads  on  the 
airfoil  during  the  interactions.  The  technique  for  visualizing 
the  flow  was  based  on  the  generation  of  minute  hydrogen 
bubbles  through  electrolysis  of  a  weak  solution  of  sodium 
sulfate  and  water.  Loads  were  measured  directly  by  an  exter- 
nal apparatus  that  served  as  both  support  and  balance  for  the 
airfoil. 

The  airfoil  selected  for  this  study  was  a  NACA  0012 
having  a  two-dimensional  planform  of  10  cm  (chord)  by 
21  cm  (span).  The  test  section  measures  31  cm  (height)  by 
21  cm  (width),  and  the  airfoil  was  positioned  so  that  it 
spanned  the  width  of  the  section  to  within  0.015  cm  on 
either  side.  The  airfoil  was  cast  of  an  electrically  nonconduct- 
ing fiber  resin,  with  platinum  electrodes  placed  at  nine  chord- 
wise  locations  along  the  upper  surface.  The  bubbles  that  were 
generated  at  these  electrodes  were  transported  downstream 
by  the  fluid  in  the  boundary  layer  and  wake,  thus  enabling 
the  thickness  and  eventual  separation  of  the  boundary  layer 
to  be  observed. 

The  vortex  was  generated  by  placing  a  semispan  airfoil 
at  incidence  in  the  free  stream  ahead  of  the  NACA  0012  air- 
foil. The  vortex  generator  was  a  NACA  0015  airfoil  with  a 
rectangular  planform  and  a  5-cm  chord  (fig.  2).  Two  vortex 
generators  were  constructed  from  an  electrically  nonconduct- 
ing fiber  resin.  When  installed,  in  turn,  on  the  upper  test  sec- 
tion wall  (fig.  3),  the  tip  of  one  generator  would  extend  to 
the  centerline  of  the  tunnel  and  therefore  be  on  line  with  the 
pitch  axis  of  the  downstream  airfoil  (generator  aspect  ratio 
of  3);  the  tip  of  the  other  generator  would  be  0.5  c  above 
the  downstream  airfoil  (generator  aspect  ratio  of  2).  Two 
electrodes  were  placed  on  each  vortex  generator.  One  of  the 
electrodes  was  located  on  the  pressure  side  of  the  generator; 
it  extended  over  80%  of  the  chord  in  a  streamwise  direction 


and  was  inboard  from  the  tip  a  distance  of  0.1  c.  This  elec- 
trode was  used  to  visualize  the  tip  vortex.  By  generating 
bubbles  on  the  pressure  side  and  allowing  them  to  be 
advected  around  the  tip  to  the  suction  side,  the  authors 
believe  that  a  more  accurate  picture  of  the  coalescing  and 
shedding  behavior  of  the  tip-vortex  core  is  obtained.  The 
second  electrode  was  located  on  the  suction  side  of  the  gen- 
erator, extended  over  1 .3  cm  in  a  spanwise  direction,  and  was 
upstream  from  the  trailing  edge  a  distance  of  0.2  c.  This  elec- 
trode was  used  to  monitor  flow  separation  on  the  generator. 
A  third  electrode  was  attached  to  the  tip  of  the  generator  at 
the  quarter-chord  location,  and  was  stretched  across  the  flow 
to  a  connection  point  on  the  lower  test-section  window.  The 
purpose  of  this  electrode  was  to  visualize  the  helical  structure 
of  the  vortex  outside  of  the  core  region.  The  pitch  axes  of 
both  the  generator  and  the  airfoil  were  located  at  their 
respective  quarter-chords,  and  a  distance  of  four  generator- 
chord  lengths  separated  the  two  axes  (fig.  4).  This  arrange- 
ment provided  a  vortex  maturation  distance  of  2.75  c  from 
the  trailing  edge  of  the  generator  to  the  leading  edge  of  the 
airfoil. 

The  spar  of  the  airfoil  extended  through  the  test-section 
windows  and  was  supported  by  lift  and  drag  transducers  on 
both  sides  (fig.  5).  One  end  of  the  spar  was  adjoined  to  an 
instrumented  drive  shaft  through  a  torsionally  stiff  coupling 
so  that  airfoil  incidence  could  be  set  and  the  pitching 
moment  measured.  Static  frictional  moments  imparted  by 
the  support  bearings  and  seals  were  also  measured  and  later 
treated  as  load  tares.  Only  quantities  relating  to  the  airfoil 
were  electrically  instrumented:  incidence,  lift  (both  sides), 
drag  (both  sides),  total  pitching  moment,  and  the  bearing  and 
seal  moments  (both  sides).  After  amplification,  the  signals 
were  either  appropriately  summed  (i.e.,  total  pitching 
moment  minus  both  frictional  moments)  and  displayed  on 
local  monitors  or  they  were  transmitted  to  a  remote  data 
acquisition  system  where  they  were  digitized,  averaged,  and 
stored  for  later  processing.  It  is  estimated  that  both  airfoil 
and  generator  incidence  were  set  to  an  accuracy  of  0.2 
during  the  test.  Lift  and  drag  measurements  are  considered  to 
be  accurate  to  0.01  N  and  the  pitching  moments  to 
0.002  N-m. 

The  bubbles  were  illuminated  by  a  sheet  of  light  (about 
5  cm  wide)  directed  through  the  upper  test-section  window 
and  covering  a  length  of  30  cm  in  the  free-stream  direction 
(fig.  6).  Both  continuous  and  flash  sources  of  light  were  pro- 
duced over  this  length.  The  continuous  source  of  light  was 
provided  by  a  single  1000-W  quartz-halogen  lamp;  the  lamp 
was  used  for  general  viewing,  as  well  as  for  long-duration 
exposures  (20  sec  in  this  experiment).  The  flash  source  of 
light  was  obtained  from  a  10,000-W  xenon  lamp  that  could 
either  be  synchronized  to  the  shutter  of  a  high-speed  camera 
or  operated  in  a  single-flash  mode  with  a  view  camera.  A 
second  xenon  lamp  (not  shown  in  fig.  6)  was  directed 
upward  through  the  lower  test-section  window  to  provide  an 
equal  amount  of  illumination  from  below  the  airfoil. 


The  tunnel  was  operated  at  two  fixed  drive  speeds  dur- 
ing this  experiment.  With  the  airfoil  set  at  zero  incidence,  the 
dynamic  pressures  for  these  two  speeds  were  0.10  lb/in.2  and 
0.025  lb/in.2 ;  they  are  equivalent  to  Reynolds  numbers  of 
120,000  and  60,000,  respectively,  based  on  an  airfoil  chord 
of  10  cm.  Some  reduction  in  tunnel  speed  is  thought  to  have 
occurred  when  the  airfoil  was  stalled;  however,  no  attempt 
was  made  either  to  measure  or  account  for  this  degradation. 

The  scope  of  the  experiment  was  limited  to  discrete 
values  of  incidence  for  the  generator  and  airfoil.  The  airfoil 
was  placed  at  both  positive  and  negative  values  of  incidence, 
and  at  angles  ranging  from  0°  to  beyond  stall  (in  1°  incre- 
ments). Three  free-stream  conditions  ahead  of  the  airfoil 
were  considered.  First,  a  control  case  in  which  no  vortex 
generator  was  present.  Second,  a  mild  interaction  case  result- 
ing from  a  short  vortex  generator  (tip  off  centerline)  being 
placed  in  the  stream  at  angles  of  0°,  5°,  and  10°.  Third,  a 
severe  interaction  case  resulting  from  a  long  vortex  generator 
(tip  on  centerline)  being  placed  in  the  stream  at  angles  of  0°, 
5°,  and  10°.  Lift,  drag,  and  pitching  moment  measurements 
on  the  airfoil  were  made  at  Re  =  120,000.  Flow  visualiza- 
tions were  made  at  both  Re  =  60,000  and  Re  =  120,000, 
with  corresponding  velocities  of  0.58  m/sec  (1.9  ft/sec)  and 
1.16  m/sec  (3.82  ft/sec). 


3.  DESCRIPTION  OF  THE  THEORY 


The  particular  theoretical  model  to  be  used  for  compari- 
son with  the  experimental  data  is  a  panel  method  formula- 
tion using  Green's  theorem.  The  code  is  capable  of  calculat- 
ing the  trajectory  of  the  vortex,  as  well  as  the  resulting  loads 
on  the  airfoil  arising  from  the  interaction.  A  detailed  descrip- 
tion of  the  method  is  given  in  reference  7;  however,  a  brief 
discussion  will  be  presented  here  for  convenience. 

The  surface  of  the  wing  is  approximated  by  a  set  of  flat 
panels  consisting  of  uniform  sources  and  doublets.  The 
source  strength  of  each  panel  is  determined  by  the  local 
external  Neumann  boundary  condition  and  the  strength  of 
each  doublet  distribution  is  determined  from  a  set  of  simul- 
taneous linear  equations  explicitly  specifying  the  internal 
Dirichlet  boundary  condition  of  zero  perturbation  potential. 
The  wake  generated  by  the  flow  over  the  airfoil  is  also  repre- 
sented by  flat  panels  of  uniform  doublet  singularities.  All 
wake  panels  along  a  streamwise  column  have  the  same  doub- 
let strength  as  determined  by  the  zero-load  condition  at  the 
trailing  edge  heading  that  column.  When  the  flow  is  separated 
from  the  leading  edge,  the  wake  is  enclosed  by  a  pair  of  free- 
shear  surfaces,  each  having  a  doublet  distribution  of  linear 
strength  in  the  streamwise  direction  and  of  constant  strength 
in  the  crossflow  direction.  The  code  also  provides  for  a  fully 
coupled  boundary-layer  calculation  in  order  to  account  for 
the  viscous-inviscid  interaction. 


4.  DISCUSSION  OF  RESULTS 


Flow  Visualization  at  Re  =  60,000 

The  tip  of  the  vortex  generator  was  located  on  the  cen- 
terline of  the  tunnel  and  was,  therefore,  geometrically  on  line 
with  the  pitch  axis  of  the  downstream  airfoil.  The  vortex 
generator  was  set  to  three  angles  of  incidence,  a  -  0°,  5°, 
and  10°;  and  for  each  of  these  angles  the  downstream  airfoil 
was  varied  from  -16°  to  +16°  (figs.  7-9).  By  placing  the 
generator  at  0°  incidence,  a  control  case  (fig.  7)  was  estab- 
lished against  which  the  effects  of  the  vortex  on  the  stream- 
lines around  the  airfoil  could  be  evaluated.  For  brevity,  the 
upstream  airfoil  that  was  responsible  for  producing  the  tip 
vortex  will  be  referred  to  simply  as  the  "generator"  while  the 
downstream  airfoil  that  interacted  with  the  vortex  will  be 
referred  to  as  the  "airfoil." 

Rotating  the  generator  to  5°  incidence  caused  a  weak 
vortex  to  be  produced  (fig.  8).  The  hydrogen  bubbles  that 
were  formed  along  the  electrode  on  the  pressure  side  of  the 
generator  were  swept  around  the  tip  to  form  a  relatively  large 
vortex  core.  The  bubbles  that  were  produced  along  the  free- 
stream  electrode  near  the  generator  tip  are  seen  to  form  the 
outer  helical  structure  of  the  vortex.  Since  the  core  of  the 
vortex  leaves  the  trailing  edge  of  the  generator  at  a  slightly 
inboard  location,  the  central  portion  of  the  vortex  passes 
above  the  airfoil  even  when  the  airfoil  is  at  a  small  negative 
incidence.  Furthermore,  it  appears  that  the  vortex  survives  its 
encounter  with  the  airfoil  over  an  incidence  range  from 
about  -2°  to  +8°.  At  +9°  incidence,  however,  the  buffeting 
effects  of  the  separated  flow  over  the  trailing  edge  of  the  air- 
foil causes  the  vortex  to  become  unstable.  At  +10°  incidence 
the  flow  separates  from  the  leading  edge  and  causes  the  vor- 
tex to  become  unstable  before  reaching  the  trailing  edge  of 
the  airfoil.  This  instability  appears  to  grow  until  the  vortex 
becomes  unrecognizable  after  passing  about  one  airfoil-chord 
length  into  the  wake.  As  the  airfoil  incidence  increases 
further,  the  distance  over  which  the  vortex  can  still  be  recog- 
nized behind  the  trailing  edge  of  the  airfoil  decreases. 
Because  of  the  irregular  and  large-scale  structure  of  the  wake 
behind  the  airfoil  during  static  stall  conditions,  the  interac- 
tion between  the  vortex  and  the  airfoil  should  be  considered 
an  unsteady  process. 

The  streamlines  of  the  flow  ahead  of  the  airfoil  are  also 
affected  by  the  presence  of  the  vortex.  However,  consider- 
able care  •  must  be  taken  when  interpreting  these  results 
because  the  vortex  imparts  a  helical  component  to  the  flow 
field,  as  a  result  of  which  the  streamline  visualizations 
nowhere  represent  a  two-dimensional  cross  section  of  the 
flow.  Accordingly,  these  results  must  be  interpreted  with 
caution.  Considering  the  airfoil  at  an  incidence  of +8°,  and 
comparing  the  weak -vortex  case  (fig.  8)  with  the  no-vortex 
case  (fig.  7),  it  is  apparent  that  two  major  changes  have  taken 
place.  First,  the  vortex  (which  is  rotating  counterclockwise 


when  viewed  along  a  downstream  direction)  has  lifted  the 
neighboring  flow  ahead  of  the  airfoil  (on  the  upwash  side  of 
the  vortex)  by  one  streamline;  and  second,  the  separated 
zone  over  the  rear  portion  of  the  airfoil  has  increased  greatly. 
Comparing  this  flow  with  that  for  the  case  without  a  vortex 
(fig.  7),  and  focusing  on  the  airfoil  at  +10°  incidence,  sug- 
gests that  the  effect  of  the  vortex  is  to  induce  an  increase  in 
the  angle  of  attack  by  approximately  +2°  (based  on  the 
amount  of  separation  present  in  each  case).  Recalling  that 
these  observations  are  applicable  only  to  the  upwash  side  of 
the  helical  flow,  it  is  important  to  note  that  a  similar  (though 
not  visible)  but  opposite  condition  must  be  occurring  on  the 
downwash  side.  Since  the  core  of  the  vortex  not  only  appears 
as  a  dense  band  of  bubbles,  but  is  central  to  the  vortical 
motion,  an  evaluation  of  its  trajectory  is  more  straightfor- 
ward. The  vortex  core  seems  to  move  inboard  from  the 
generator  tip  as  it  approaches  the  airfoil,  cutting  across  the 
streamlines  that  occur  in  the  no-vortex  case  (see  fig.  7  for 
-8°  and  +8°  incidence);  but  after  reaching  the  suction  peak 
on  the  airfoil,  the  core  closely  follows  the  no-vortex  stream- 
lines. At  an  incidence  of  -2°  (fig.  8),  the  outer  part  of  the 
vortex  interacts  strongly  with  the  flow  along  the  pressure 
side  of  the  airfoil.  The  vortex  core  is  still  visible,  but  the 
outer  helical  streamlines  disappear  and  instead  become  a 
cloud  of  bubbles.  At  more  negative  angles  of  incidence,  the 
vortex  becomes  even  more  disorganized  as  it  is  pulled  toward 
the  airfoil.  When  the  airfoil  is  at  -8°  incidence,  the  vortex 
nearly  impacts  on  the  pressure  side  of  the  airfoil  close  to  the 
leading  edge.  However,  for  more  negative  angles  of  incidence, 
the  vortex  is  driven  away  slightly  from  the  airfoil  surface.  In 
addition,  an  instability  of  the  vortex  core  progresses 
upstream  from  the  wake  (at  -10°  incidence),  to  the  trailing 
edge  (-1 1°),  and  finally  to  a  point  ahead  of  the  airfoil  (-12°). 
Rotating  the  generator  to  10°  incidence  causes  a  much 
stronger  vortex  to  be  produced  (fig.  9).  Although  the  trend  is 
essentially  the  same  as  that  observed  for  the  weak -vortex 
case,  certain  features  can  be  described  with  greater  clarity 
because  of  the  more  conspicuous  behavior  of  the  flow.  In 
comparing  the  weak-vortex  flow  field  (fig.  8)  with  that 
occurring  for  the  strong  vortex  (fig.  9)  when  the  airfoil  is  at 
zero  incidence,  several  observations  can  be  readily  made. 
First,  the  bubbles  comprising  the  vortex  core  are  confined  to 
a  more  slender  filament,  no  doubt  a  result  of  a  greatly 
reduced  static  pressure  along  the  vortex  core.  Second,  and  in 
keeping  with  a  vortex  of  greater  strength,  the  streamlines 
that  form  the  outer  helical  portion  of  the  vortex  are  clearly 
twisting  at  a  much  higher  angular  rate.  Third,  the  core  of  the 
vortex  continues  to  leave  the  generator  at  about  the  same 
slightly  inboard  position  (0.09  c  above  centerline-grid  line), 
in  spite  of  the  difference  in  vortex  strength.  With  regard  to 
the  stability  of  the  vortex  core  over  the  positive  incidence 
range  of  the  airfoil,  there  is  no  significant  difference  between 
the  weak  and  strong  vortex  cases.  The  main  difference 
between  the  two  cases  occurs  in  the  streamlines  ahead  of  the 
airfoil.  Referring  to  the  +8°  of  incidence  case,  for  example, 


the  strong  vortex  (fig.  9)  causes  the  neighboring  flow  ahead 
of  the  airfoil  (on  the  upwash  side  of  the  vortex)  to  be  lifted 
by  two  streamlines  (compared  to  the  no-vortex  case,  fig.  7), 
whereas  the  weak  vortex  (fig.  8)  shifted  the  flow  by  only  one 
streamline.  In  terms  of  induced  separation  over  the  airfoil, 
the  sequence  of  flows  shown  in  figures  7-9  indicates  that 
separation  occurs  at  slightly  over  9°  in  the  presence  of  a 
strong  vortex,  at  slightly  under  10°  for  a  weak  vortex,  and 
probably  at  about  1 1°  when  no  vortex  is  present. 

With  regard  to  the  trajectory  of  the  core  of  the  vortex  in 
the  +8  of  incidence  case,  for  example,  there  appears  to  be 
no  difference  between  the  weak-  and  strong-vortex  cases. 
Although  core  instabilities  were  observed  in  the  weak -vortex 
case  for  -4°  of  airfoil  incidence,  their  appearance  is  even 
more  striking  during  the  strong-vortex  interactions.  Whereas 
the  core  never  quite  collided  with  the  airfoil  in  the  weak- 
vortex  case,  a  direct  impingement  occurs  at  -6°  of  incidence 
in  the  strong-vortex  case.  Direct  impingement  causes  a  wide 
band  of  bubbles,  with  no  apparent  organized  structure,  to 
appear  in  the  wake  of  the  airfoil.  Continuing  to  focus  on  the 
strong-vortex  case,  at  -8°  of  incidence  some  degree  of 
periodicity  can  be  seen  in,  the  wake  flow  after  passing  over 
the  suction  side  of  the  airfoil,  and,  at  -10°,  the  scale  of  this 
periodicity  increases.  At  -11°  of  incidence,  a  particularly 
interesting  event  occurs.  The  core  of  the  vortex  just  ahead  of 
the  airfoil  appears  to  undergo  a  helical  distortion  that  is  char- 
acteristic of  an  unstable  vortex.  After  colliding  with  the  air- 
foil, the  flow  breaks  down  over  the  pressure  side  of  the 
airfoil  and  is  shed  into  the  wake  with  a  clearly  periodic 
organization  (about  11.5  Hz).  At  -12°  of  incidence,  the  loca- 
tion of  this  presumed  vortex  instability  moves  upstream 
about  one  half  of  a  generator-chord  length  ahead  of  the  air- 
foil. A  similar  breakdown  of  the  vortex  has  been  reported  in 
a  smoke  visualization  test  (ref.  8)  of  a  vortex  impinging  on  a 
downstream  airfoil. 


Flow  Visualization  at  Re  =  120,000 

The  tip  of  the  vortex  generator  was  located  on  the  cen- 
terline  of  the  tunnel,  as  well  as  offset  from  the  centerline  a 
distance  equal  to  one  half  of  the  generator  chord.  The  vortex 
generator  was  set  to  three  angles  of  incidence,  a  =  0  ,  5  , 
and  10°;  and  for  each  of  these  angles  the  downstream  airfoil 
was  again  varied  from  -16°  to  +16°  (figs.  10-12).  The 
increase  in  Reynolds  number  for  these  results  was  obtained 
by  doubling  the  free-stream  velocity.  Since  the  duration  of 
the  light  pulse  was  not  changed  during  this  test,  the  particle- 
path  lengths  at  this  higher  speed  will  appear  twice  as  long. 
Although  this  streaking  effect  tends  to  lessen  the  clarity  of 
the  in  viscid  portion  of  the  flow  field,  it  will  aid  in  the  identi- 
fication of  turbulent  and  rotational  motions  that  occur  in  the 
viscous  portion  of  the  flow  field.  In  addition  to  the  short- 
duration  exposures  obtained  using  the  strobe,  long-time 
exposures  (20  sec)  of  the  flow  were  made  using  a  continuous 


light  source.  The  main  purpose  of  the  long  exposures  was  to 
obtain  an  accumulated  visual  record  of  the  trajectory  of  the 
vortex  core  in  order  to  distinguish  between  regions  having  a 
concentrated  and  well-defined  vortex  path  and  those  where 
lateral  excursions  and  possible  instabilities  are  present. 
Included  in  these  visualizations  is  a  section  of  the  boundary 
layer  exposed  by  hydrogen  bubbles  that  were  generated 
along  the  chord  of  the  airfoil.  These  bubbles  are  believed  to 
have  had  no  measurable  effect  on  the  interaction.  Although 
the  evidence  is  not  conclusive,  it  was  observed  that  as  the 
number  of  bubbles  was  increased  (by  increasing  the  voltage 
on  the  electrodes)  for  photographic  purposes,  no  change  was 
observed  in  either  the  thickness  of  the  boundary  layer  or  in 
the  proximity  of  the  vortex  to  the  airfoil.  However,  the 
meaning  of  these  visualizations  requires  some  consideration. 
Since  the  region  of  the  interaction  between  the  vortex  and 
boundary  layer  is  known  to  be  highly  three  dimensional,  the 
fact  that  only  a  narrow  spanwise  portion  of  the  boundary 
layer  was  visualized  should  be  kept  in  mind  when  interpret- 
ing the  results.  In  the  following  discussions,  the  short- 
exposure  results  will  be  addressed  first,  and  in  more  detail. 

Vortex  generator  on  centerline-  Once  again,  by  placing 
the  generator  at  0°  incidence,  a  control  case  (fig.  10)  was 
produced  against  which  comparisons  could  be  made.  There 
are  essentially  no  differences  between  these  results  and  those 
obtained  at  the  lower  Reynolds  number,  except  that  a  more 
definite  Karman-vortex  street  can  be  detected  in  the  bubbles 
emanating  from  the  trailing  edge  of  the  generator. 

Rotating  the  generator  to  5°  incidence  produces  a  vortex 
core  that  is  more  visible  (fig.  11)  than  the  one  obtained 
under  the  same  conditions  at  the  lower  Reynolds  number 
(fig.  8).  The  presence  of  a  more  visible  core  could  be  caused 
by  either  a  vortex  of  greater  strength  (therefore  attracting 
more  bubbles  because  of  the  lower  static  pressure)  or  a  visual 
reinforcement  of  the  core  filament  because  of  the  streaking 
allowed  by  the  finite-time  exposure.  Another  distinction  is 
that  the  neighboring  flow  ahead  of  the  airfoil  is  shifted 
upward  by  about  one  additional  streamline  (compare,  for 
example,  the  +8°  of  incidence  flows  in  figs.  8  and  11).  This 
additional  uplifting  of  the  streamlines  could  be  a  result  of 
either  a  vortex  of  greater  local  strength  (to  be  discussed 
momentarily)  or  an  increase  in  the  size  of  the  vortex  so  that 
the  region  of  high  rotational  velocity  has  moved  farther  away 
from  the  center.  In  all  other  respects,  however,  the  trends 
observed  earlier  at  the  lower  Reynolds  number  with  regard  to 
the  stability  of  the  vortex  core  and  the  induced  separation 
over  the  airfoil  remain  essentially  the  same.  One  interesting 
behavior  that  appears  to  be  more  distinct  at  the  higher 
Reynolds  number  concerns  the  vortex  instability  over  the 
airfoil.  When  the  airfoil  stalls  at  +10°  of  incidence  (fig.  11), 
the  vortex  core  appears  to  undergo  a  more  obvious  helical 
twisting  motion. 

The  explanations  given  above  for  the  additional  uplifting 
of    the    streamlines    when    the    free-stream    velocity    was 


increased  may  require  some  further  discussion.  Based  on 
classic  aerodynamic  theory,  the  swirl  angle  of  a  fully  devel- 
oped vortex  can  be  argued  to  be  independent  of  the  free- 
stream  velocity.To  demonstrate  this  point,  consider  the  expres- 
sions for  the  circulation  on  the  generator,  F  -  C^Uodc/2, 
and  the  circumferential  velocity  component  of  an  inviscid 
vortex,  w  =  r/4nr.  These  two  equations  can  be  combined  to 
obtain  w  =  C^U^c/Sirr.  An  approximation  for  the  swirl  angle 
can,  therefore,  be  given  by  6  «  w/U^  =  Cyc/8-nr,  which  is 
independent  of  the  free-stream  velocity.  To  some  extent  this 
conclusion  is  inexact  because  of  the  neglect  of  viscous 
effects.  It  is  more  significant,  however,  that  the  arguments 
given  cannot  be  strictly  applied  in  the  vortex-development 
region  behind  the  generator.  The  extent  of  this  development 
region  for  a  rectangular  planform  has  been  shown  to  be 
about  4  chord  lengths  behind  the  generator  (ref.  9).  During 
that  time,  reported  measurements  of  the  maximum  circum- 
ferential velocity  of  the  vortex  indicated  that  the  swirl  angle 
decayed  approximately  50%  before  the  roll-up  was  complete. 

Rotating  the  generator  to  10°  incidence  produces  a  flow 
(fig.  12)  that,  except  for  the  differences  noted  above  for  the 
5°  case,  is  quite  similar  to  that  observed  at  the  lower 
Reynolds  number  (fig.  9).  The  maximum  theoretical  circula- 
tion on  the  generator  for  this  case  is  V  =  0.28.  Some  of  the 
events  that  are  more  obvious  in  the  higher  Reynolds  number 
visualizations  (fig.  12)  concern  the  vortex  impingement  at 
angles  below  -9°  incidence.  The  region  of  vortex  instability 
ahead  of  the  airfoil  from  -9°  through  -16°  incidence  is  much 
more  pronounced.  In  addition,  the  breakdown  of  the  flow 
on  the  pressure  side  of  the  airfoil  into  periodically  shedding 
structures  (about  23  Hz)  is  even  more  evident. 

The  same  range  of  conditions  for  the  generator  and  air- 
foil were  considered  for  the  long-exposure  visualizations 
(figs.  13-15).  When  the  generator  is  placed  at  0°  of  inci- 
dence, the  bubbles  that  were  produced  near  the  tip  (side 
opposite  from  view)  are  observed  to  leave  the  trailing  edge 
over  a  broad  band  (fig.  13),  instead  of  in  a  straight  line 
directly  downstream  of  the  electrode.  This  band  can  also  be 
seen  in  the  short-exposure  results  (although  less  distinctly) 
and  is  due  to  the  slight  spanwise-pressure  gradient  that  drives 
the  bubbles  inboard  over  the  generator  surface  and  away 
from  the  tip.  It  may  be  useful  to  note  that  this  band  of 
bubbles  provides  a  white  background  against  which  the  black 
trailing  edge  of  the  generator  can  be  easily  identified  in  the 
photographs.  Keeping  in  mind  that  these  bubbles  are  all  pro- 
duced on  the  pressure  side  of  the  generator,  the  influence  of 
the  vortex  on  the  flow  near  the  tip  can  be  better  appreciated 
when  it  is  realized  that  nearly  all  of  these  bubbles  are  drawn 
around  the  tip  and  become  a  part  of  the  vortex  core  on  the 
upper  surface  just  as  it  leaves  the  trailing  edge  (fig.  14).  This 
sweeping  of  fluid  around  the  tip  is  even  more  dramatic  when 
the  strength  of  the  vortex  is  increased  (fig.  15).  This  increase 
in  swirl  angle  is  probably  caused  by  the  upstream  movement 
of  the  origin  of  the  vortex  on  the  upper  surface  of  the  gener- 
ator (ref.  10). 


Aside  from  the  helical  trajectory  of  the  path  of  the 
strong-vortex  core  (fig.  15)  that  extends  over  a  distance  of 
1 .5  c  downstream  of  the  generator,  the  path  of  the  vortex 
core  appears  to  be  well  defined  and  two  dimensional  as  long 
as  the  viscous  region  around  the  airfoil  is  avoided  (from  0°  to 
+8°  incidence  in  figs.  14  and  15).  Although  the  path  of  the 
vortex  seems  to  be  two  dimensional  over  this  distance,  it  is 
actually  more  likely  that  some  amount  of  transverse  move- 
ment (normal  to  the  plane  of  view)  is  present  as  the  vortex 
encounters  the  circulation  field  around  the  airfoil.  In  fact, 
this  type  of  transverse  distortion  of  the  path  of  the  vortex  is 
clearly  evident  in  the  results  obtained  in  a  similar  experiment 
(ref.  11),  which  included  a  side  view  and  a  plan  view  of  the 
vortex-airfoil  interaction. 

At  -4°  incidence  the  vortex  can  be  distinguished  from 
the  boundary  layer  in  the  weak-vortex  case  (fig.  14);  how- 
ever, a  large  thickening  (and  probable  weakening  owing  to 
viscous  effects)  of  the  vortex  appears  to  have  resulted  from 
the  interaction  in  the  strong-vortex  case  (fig.  15).  At  more 
negative  values  of  incidence,  some  thickening  (or  meander- 
ing) of  the  vortex  can  be  observed  upstream  of  the  airfoil. 
However,  the  condition  (or  even  survival)  of  the  vortex  after 
mixing  with  the  highly  dissipative  flow  around  the  airfoil  is 
not  certain.  Considering,  on  the  other  hand,  positive  angles 
of  incidence  for  which  the  airfoil  stalls  (at  or  above  +12°), 
interaction  with  the  separated  region  clearly  produces  a  wide 
band  of  vortex  trajectories  above  the  airfoil.  This  band, 
which  appears  to  broaden  as  it  moves  downstream,  is  not  to 
be  interpreted  as  a  vortex  "burst"  similar  to  that  occurring 
over  delta  wings  at  high  incidence.  Short-exposure  results 
(discussed  earlier)  have  already  established  this  to  be  a  region 
in  which  the  core  usually  still  exists  as  a  filament  (although 
not  always  a  stable  one).  This  band  indicates  the  extent  to 
which  the  vortex  is  jostled  during  its  encounter  with  an 
inherently  unsteady  separated  zone. 

Vortex  generator  off  centerline-  By  offsetting  the  tip 
of  the  generator  from  the  centerline  of  the  tunnel  a  distance 
of  one-half  the  chord  of  the  generator,  a  relatively  mild 
vortex-interaction  environment  is  produced.  Placing  the 
generator  at  0°  incidence  (fig.  16),  as  before,  provides  a  basis 
of  comparison  with  other  cases.  Considering  that  portion  of 
the  flow  where  streamlines  exist  for  both  conditions  (that  is, 
below  the  centerline  of  the  tunnel),  the  flow  appears  to  be 
independent  of  the  extent  to  which  the  generator  and  its 
wake  protrude  into  the  test  section.  Although  some  distur- 
bance to  the  flow  moving  around  the  generator  tip  is  present 
in  both  cases,  it  has  no  observable  effect  on  the  stall  of  the 
downstream  airfoil. 

Rotating  the  generator  to  5°  incidence  produces  a  vortex 
that  passes  well  above  the  airfoil  for  the  entire  incidence 
range  from  -16°  to  +16°  (fig.  17).  Judging  by  the  size  of  the 
vortex  core,  as  well  as  by  the  rotational  rate  of  the  stream- 
lines near  the  core,  the  vortex  corresponding  to  the  off- 
centerline  case  (fig.  17)  may  be  weaker  than  the  vortex  in  the 


on-centcrline  case  (fig.  11).  This  reduction  in  tip-vortex 
strength  could  be  attributed  to  an  increase  in  the  shedding  of 
vorticity  into  the  wake  before  reaching  the  tip  (in  short,  an 
aspect-ratio  effect).  Although  the  vortex  in  this  case  is  rela- 
tively weak  and  remote  from  the  airfoil,  it  nevertheless 
induces  the  flow  ahead  of  the  airfoil  to  be  shifted  upward  by 
about  one-half  streamline  on  the  upwash  side  of  the  helical 
flow  (compare,  for  example,  the  streamlines  at  zero  inci- 
dence in  fig.  16  with  those  in  fig.  17).  As  long  as  the  airfoil  is 
not  stalled,  the  vortex-airfoil  interaction  has  no  effect  on  the 
stability  of  the  vortex  core.  Even  when  the  airfoil  stalls 
(a  >  10°)  and  the  buffeting  action  of  the  separated  wake 
interacts  strongly  with  the  vortex,  there  is  still  no  clear  evi- 
dence of  an  instability.  Rather,  the  evidence  seems  to  show 
that  as  long  as  a  strong  shear  layer  is  not  encountered,  the 
vortex  is  able  to  withstand  relatively  large  transverse  pressure 
gradients  without  becoming  unstable  (see,  for  example,  -12° 
incidence  in  fig.  17). 

Rotating  the  generator  to  10°  incidence  causes  the 
vortex  core  and  its  surrounding  helical  streamlines  to  become 
more  distinct  (fig.  18).  The  flow  ahead  of  the  airfoil  is  now 
shifted  upward  about  one  streamline  on  the  upwash  side  of 
the  helical  flow  around  the  vortex  core;  this  shift  is  about 
twice  that  observed  for  the  generator  at  5°  incidence.  Again, 
once  the  airfoil  stalls,  the  path  of  the  vortex  core  can  be  seen 
to  go  through  large  undulations  as  it  interacts  with  the  sepa- 
rated zone  downstream  of  the  airfoil.  In  some  cases  (note 
+14°  and  +16°),  the  vortex  core  appears  to  experience  an 
instability. 

The  path  of  the  vortex  core  during  long  exposures  is 
shown  in  figures  19-21.  The  characteristics  of  the  vortex  are 
essentially  the  same  as  those  in  the  close -encounter  case  with 
regard  to  its  persistence  while  moving  through  the  pressure 
field  created  by  the  airfoil.  Since  the  viscous  region  around 
the  airfoil  is  completely  avoided,  the  interaction  of  the 
vortex  with  the  airfoil  is  strictly  potential.  Once  again,  when 
the  airfoil  stalls,  the  boundary  of  the  separated  zone  is 
unsteady  and  causes  the  core  of  the  vortex  to  be  buffeted 
over  a  band  of  trajectories. 


Load  Measurements  at  Re  =  120,000 

Lift,  drag,  and  pitching-moment  loads  were  measured  at 
a  Reynolds  number  of  120,000.  Data  were  taken  at  1°  incre- 
ments of  airfoil  incidence  over  a  range  from  -16°  to  +16°. 
Because  of  the  high  density  of  data  points,  symbols  have 
been  omitted  from  many  of  the  figures  in  order  to  allow  a 
better  examination  of  the  curves  that  were  constructed  using 
straight-line  connections  between  the  points. 

Of  initial  concern  was  the  unavoidable  presence  of  the 
generator  wake  and  its  possible  effect  on  the  loads  of  the 
downstream  airfoil.  Although  the  greatest  disturbance  to  the 
flow  field  by  the  trailing-edge  wake  is  created  when  the 
generator  is  placed  at  maximum  incidence  (a  =  10°),  its 


influence  on  the  airfoil  loads  cannot  be  separated  from  the 
more  dominant  effects  of  the  tip  vortex.  The  generator  was, 
therefore,  placed  at  zero  incidence  in  order  to  produce  a 
wake  (albeit  small),  as  well  as  a  distortion  of  the  flow  around 
the  tip  (but  without  producing  a  vortex).  The  results,  which 
are  presented  in  figure  22,  show  that  the  presence  of  the  gen- 
erator in  the  free  stream  has  essentially  no  effect  on  the  air- 
foil loads,  even  when  the  generator  extends  to  the  centerline 
of  the  tunnel.  Since  some  level  of  disturbance  can  be 
expected  when  the  generator  is  at  incidence,  the  orientation 
of  the  generator  in  the  flow  field  with  respect  to  the  down- 
stream airfoil  in  the  present  experiment  has  the  advantage  of 
placing  the  wake  farther  away  from  the  airfoil  than  the 
vortex. 

Placing  the  generator  at  incidence  can  be  seen  to  have  a 
definite  effect  on  the  airfoil  loads,  especially  when  the  vortex 
makes  a  close  encounter  with  the  airfoil  (fig.  23).  The  vortex 
causes  the  airfoil  to  experience  an  early  stall  and  a  reduced 
(more  narrow)  drag  bucket.  Note  that  only  the  pitching 
moment  shows  any  significant  change  at  angles  below  stall. 
This  is  probably  caused  by  the  presence  of  a  laminar  separa- 
tion bubble,  which  becomes  distorted  so  as  to  cause  only  a 
shift  in  the  center  of  pressure.  The  behavior  of  this  bubble, 
which  no  doubt  is  responsible  for  the  kink  in  the  lift  curve 
and  the  non-zero  slope  in  the  moment  curve  over  the 
unstalled  range,  is  thought  also  to  cause  the  stall  to  be  differ- 
ent from  what  is  observed  at  higher  Reynolds  numbers 
(refs.  12-14).  Although  the  proximity  of  the  vortex  to  the 
leading  edge  of  the  airfoil  is  quite  dependent  on  the  sense  of 
the  airfoil  incidence  (figs.  1 1  and  12),  the  vortex  passes  over 
the  suction  side  of  the  airfoil  at  the  point  of  stall  and  causes 
the  same  degree  of  early  stall  for  both  positive  and  negative 
values  of  incidence.  Based  on  the  onset  of  lift  and  moment 
stall  (which  appear  to  be  more  distinct  than  drag  stall),  the 
interaction  causes  an  early  stall  by  1 .6°  in  the  weak-vortex 
case  and  by  2.3°  in  the  strong-vortex  case. 

When  the  generator  is  off  centerline,  a  more  modest 
encounter  with  the  airfoil  results  (fig.  24).  The  effects  of  the 
vortex  interaction  are  greatly  reduced  over  the  unstalled 
region,  but  the  same  trends  are  observed  as  in  the  strong- 
interaction  case  (discussed  above).  Although  there  is  a  differ- 
ence in  the  post-stall  curves  depending  on  whether  the  airfoil 
is  at  positive  or  negative  incidence,  it  is  interesting  that  the 
angle  at  which  stall  occurs  does  not  appear  to  be  affected  by 
which  side  of  the  airfoil  (pressure  or  suction)  the  vortex  is 
on.  The  most  significant  difference  probably  appears  in  the 
sense  of  the  rolling  moment;  however,  this  quantity  was  not 
measured  in  this  experiment.  In  the  present  case  the  interac- 
tion causes  an  early  stall  by  0.8°  in  the  weak-vortex  case  and 
by  1 .7    in  the  strong-vortex  case. 


Theory  at  Re  =  120,000 

In  order  to  better  represent  the  conditions  of  the  experi- 
ment, extra  panels  were  added  to  the  formulation  to  simulate 
the  presence  of  the  upper  and  lower  tunnel  walls.  All  of  the 
computations  were  made  for  the  close  encounter,  strong- 
vortex  case.  In  other  words,  the  generator  tip  was  considered 
to  be  on  centerline  with  an  incidence  of  10°.  Comparisons 
with  the  experiment  were  made  at  three  angles  of  airfoil  inci- 
dence: a  =  +8°,  +12°,  and  +16°.  The  calculated  path  of  the 
vortex  core  will  be  discussed  first. 

Considering  the  case  for  the  airfoil  at  +8°  incidence,  the 
computed  results  are  shown  in  figure  25(a)  in  the  form  of 
streamlines  leaving  the  trailing  edge  of  the  generator  and 
passing  over  the  downstream  airfoil.  The  core  of  the  vortex 
(shown  as  a  dashed  line)  was  computed  to  be  the  centroid  of 
the  circulation  for  the  vortices  in  the  tip  roll-up.  The  encir- 
cled points  were  obtained  from  the  experiment  by  making 
discrete-coordinate  measurements  along  the  mean  trajectory 
of  the  vortex  core  (from  fig.  21).  This  comparison  shows  a 
rather  favorable  agreement  between  theory  and  experiment. 

The  computation  for  the  interaction  with  the  airfoil  at 
+  12°  incidence  is  shown  in  figure  25(b).  For  this  calculation, 
wake-relaxation  iterations  were  required  to  simulate  the  flow 
separation  from  the  leading  edge.  After  three  iterations,  good 
agreement  with  the  experimental  data  was  obtained  ahead  of 
the  airfoil.  However,  in  passing  over  the  airfoil,  the  agree- 
ment remains  good  only  when  considering  the  inner  bound- 
ary of  the  band  of  possible  trajectories  (the  upper  and  lower 
boundaries  are  indicated  by  the  two  symbols  at  each  loca- 
tion). Nevertheless,  the  agreement  is  classified  as  being  gener- 
ally good  over  the  entire  encounter,  since  it  is  beyond  the 
scope  of  present-day  codes  to  account  for  this  type  of 
unsteady  separation  behavior.  The  region  of  greatest  disagree- 
ment is  just  downstream  of  the  trailing  edge  of  the  airfoil, 
where  the  theoretical  core  appears  to  be  diverging  from  that 
observed  in  the  experiment.  This  may  be  attributable  to  the 
fact  that  calculations  of  the  details  of  the  roll-up  were  termi- 
nated before  passing  downstream  of  the  airfoil. 

Examining  the  results  for  the  final  case  with  the  airfoil 
at  +16°  incidence  (fig.  25(c)),  the  comparison  between 
theory  and  experiment  is  not  especially  good.  The  calcula- 
tions made  with  a  "no-separation"  restraint  agree  reasonably 
well  with  the  experimental  results  ahead  of  the  airfoil;  how- 
ever, the  agreement  is  poor  in  the  region  over  the  airfoil.  A 
second  calculation,  which  allowed  for  separation  on  the  air- 
foil, shows  a  very  different  trend;  however,  the  agreement 
remains  poor.  Although  some  of  the  differences  between  the 
theory  and  the  experiment  can  be  reduced  by  increasing  the 
panel  density  on  the  generator  (ref.  15)  as  well  as  by 
accounting  for  the  initial  vortex  development  over  the  sur- 
face of  the  generator,  it  may  be  that  the  greatest  improve- 
ment will  come  from  a  better  separation  model  for  the  flow 
on  the  downstream  airfoil. 


Based  on  the  VSAERO  code,  the  computed  lift,  drag, 
and  pitching-moment  coefficients  for  the  three  angles  of  air- 
foil incidence  are  shown  in  figure  26.  When  the  airfoil  is 
stalled,  it  is  clear  that  the  first-iteration  calculation  (which 
assumes  the  flow  is  fully  attached)  is  incorrect.  However,  the 
second-iteration  calculation  (which  allows  for  flow  separa- 
tion) is  in  much  better  agreement  with  the  experiment  at 
+  16°.  With  the  airfoil  at  +12°,  the  code  predicts  a  partial 
span  separation  over  the  upper  surface,  whereas  the  flow  was 
apparently  fully  separated  in  the  experiment.  This  difference 
is  probably  a  result  of  the  level  of  free-stream  turbulence  in 
the  present  experiment,  as  well  as  the  strong  buffeting  char- 
acter of  the  stall  observed  for  this  airfoil.  A  partial  span  sepa- 
ration can  occur  under  certain  conditions,  as  was  the  case 
reported  in  reference  1 1 . 


5.  CONCLUSIONS 


1 .  A  vortex  may  survive  distortions  caused  by  modest 
values  of  transverse  and  axial  pressure  gradients  more  easily 
than  it  can  shear  along  its  axis. 

2.  Buffeting  from  a  nearby  separated  region  can  ini- 
tiate a  vortex  instability,  with  the  path  of  the  core  itself 
assuming  a  helical  shape. 

3.  An  encounter  between  the  vortex  and  the  airfoil 
boundary  layer  causes  the  interacting  flow  to  mix  and 
emerge  into  the  wake  with  no  apparent  vortex  structure. 

4.  When  the  vortex  impinges  along  the  stagnation 
region  of  an  airfoil  (and  becomes  subject  to  a  strong  adverse 
axial  pressure  gradient),  the  core  of  the  vortex  becomes 
unstable  ahead  of  the  airfoil  and  is  then  transformed  into  a 
segmented  and  periodic  structure  as  it  moves  over  the  surface 
of  the  airfoil. 

5.  The  presence  of  the  vortex  was  found  to  cause  pre- 
mature stall  in  every  case  in  this  experiment.  The  greater  the 
strength  of  the  vortex  and  the  closer  the  encounter,  the 
earlier  the  stall. 

6.  The  extent  to  which  early  stall  occurs  appears  to  be 
independent  of  whether  the  vortex  is  on  the  pressure  or  suc- 
tion side  of  the  airfoil. 

7.  The  theoretical  model  considered  in  this  study  accu- 
rately calculates  the  vortex  trajectory  and  airfoil  loads  prior 
to  stall.  After  stall,  calculations  for  the  vortex  trajectory  do 
not  compare  well  with  the  experimental  data;  however,  those 
for  the  loads  are  acceptable. 


REFERENCES 


1.  Smith,  W.  G.;  and  Lazzeroni,  F.  A.:  Experimental  and 

Theoretical  Study  of  a  Rectangular  Wing  in  a  Vorti- 
cal Wake  at  Low  Speed.  NASA  TN  D-339,  1960. 

2.  McMillan,  0.  J.;  Schwind,  R.  G.;  Nielsen,  J.  N.;  and 

Dillenius,  M.  F.  E:  Rolling  Moments  in  a  Trailing 
Vortex  Flow  Field.  NASA  CR-1 5 1961,  1977. 

3.  Cheeseman,  I.  C:   Developments  in   Rotary  Wing  Air- 

craft Aerodynamics.  Vertica,  vol.  6,  no.  3,  1982, 
pp. 181-202. 

4.  Ham,  N.  D.:  Some  Preliminary  Results  from  an  Investi- 

gation of  Blade-Vortex  Interaction.  AHS  J.,  Apr. 
1974. 

5.  Ham,  N.  D.:  Some  Conclusions  from  an  Investigation  of 

Blade-Vortex  Interaction.  AHS  J.,  Oct.  1975. 

6.  Maskew,  B.;  and   Rao,  B.  M.:  Calculation  of  Vortex 

Flows  on  Complex  Configurations.  ICAS-82-6.2.3., 
13th  Congress  of  the  International  Council  of  the 
Aeronautical  Sciences,  1982. 

7.  Maskew,  B.:  Prediction  of  Subsonic  Aerodynamic  Char- 

acteristics —  A  Case  for  Low-Order  Panel  Methods. 
AIAA  Paper  81-0252,  St.  Louis,  Mo.,  1981. 

8.  Patel,  M.  H.;  and  Hancock,  G.  J.:  Some  Experimental 

Results  of  the  Effect  of  a  Streamwise  Vortex  on  a 
Two-Dimensional  Wing.  Aeronaut.  J.,  Apr.  1974. 

9.  Chigier,   N.    A.;   and   Corsiglia,   V.   R.:   Tip  Vortices- 

Velocity  Distributions.  AHS  27th  Annual  National 
V/STOL  Forum,  1971. 

10.  Hoffman,  J.  D.;  and  Velkoff,  H.  R.:  Vortex  Flow  over 

Helicopter  Rotor  Tips.  J.  Aircraft,  vol.  8,  no.  9, 
1971. 

11.  Mehta,  R.  D.;  and  Lim,  T.  T.:  Flow  Visualization  of  a 

Vortex/Wing  Interaction.  NASA  TM- 

12.  Nakamura,  Y.;  and  Isogai,  K.:  Stalling  Characteristics  of 

the  NACA  0012  Section  at  Low  Reynolds  Numbers. 
Technical  Report  of  National  Aerospace  Labora- 
tory, NALTR-1 75,  1969. 

13.  Nagamatsu,  H.;  and  Cuche,  D.:  Low  Reynolds  Number 

Aerodynamic  Characteristics  of  Low  Drag  NACA 
63-208  Airfoil.  AIAA  13th  Fluid  and  Plasma 
Dynamics  Conference,  1980. 

14.  Mueller,  T.  J.;  and  Jansen,  B.  J.,  Jr.:  Aerodynamic  Mea- 

surements at  Low  Reynolds  Numbers.  AIAA  12th 
Aerodynamic  Testing  Conference,  1982. 

15.  Maskew,  B.:  Predicting  Aerodynamic  Characteristics  of 

Vortical  Flows  on  Three-Dimensional  Configura- 
tions Using  a  Surface-Singularity  Panel  Method. 
AGARDCP-342,1983. 


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Figure  3.—  Orientation  of  vortex  generator  and  downstream  airfoil  in  test  section. 


11 


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14 


Figure  7.—  Visualization  of  flow  at  Re  =  60,000  with  generator  on  centerline  and  set  at  a  -  0°  (no-vortex  case). 


15 


Figure  7  —  Continued. 


16 


Figure  7.-  Continued. 


17 


Figure  7.—  Continued. 


18 


i 

5  =  0° 

i 

. 

~-r — -•-  -> r- 

a  =-11° 

-'■ 

___ 

a  =  o° 

_| L       1 . 

— 

~- •  — —  -T-. : --t- ■ '~ -+r   '■   ■**  ■  :" 

a  =  -16°j 

! StS* 

• 

Figure  7.—  Concluded. 


19 


|Jr »   Mpg     g*"     ■'■»  £gS 


Figure  8.—  Visualization  of  flow  at  i?e  =  60,000  with  generator  on  centerline  and  set  at  a  =  5°  (weak-vortex  case). 


20 


■Ml  ■mm"'     °Si  imn    ^•^■Mfc' 


Figure  8.-  Continued. 


21 


gSgH^Su. 


PPJBB55 


puni 


Figure  8.—  Continued. 


22 


Figure  8.—  Continued. 


23 


a  =  5° 


a=  -11' 


:ss^S 


■■■- l  ■- — =] 

■ 

a=5° 

a=  -16° 

iiiy-' 

.  ■    ■  &■% 

—^ 

| 

*j^.-.  ..-J 

'    jp 

i  S 

llli 

r. 

a/ 

HH 

: 
— 

• 

• 

Figure  8.—  Concluded. 


24 


Figure  9.-  Visualization  of  flow  at  Re  =  60,000  with  generator  on  centerline  and  set  at  a  -  10°  (strong-vortex  case). 


25 


Figure  9.—  Continued. 


26 


1 

a=  10° 

— » — i 

a  =  0° 

■ 1 — i — 

B  !■■■■■■■■■■■ 
•^^^^^^"^^^^^      '  i     i    "■    ,         -    ^>W  its        ii 


Figure  9.-  Continued. 


27 


5=  10° 

— i 1 

— 

- 

y 

a=-i0° 

—! 1 

fc„MK 


Figure  9.—  Continued. 


28 


k*|  HELICAL  DISTORTION 


Figure  9.-  Concluded. 


29 


Figure  10-  Visualization  of  flow  at  Re  =  120,000  with  generator  on  centerline  and  set  at  a  =  0°  (no-vortex  case). 


30 


rf  «s 


Figure  10.—  Continued. 


31 


k- 

■ 

— ^^— 

■ 

„ 

„ 

. 

■ 

■ 

H 

m 

J 

■ 

■ 

- 

5=0° 

- 

. 

^ ». 

--.  -     . 

w-       ■ 

a  =  16° 

Figure  10  —  Continued. 


32 


Figure  10.-  Continued. 


33 


a  =  0 


■ 


Figure  10.—  Concluded. 


34 


Figure  11.—  Visualization  of  flow  at  Re  -  120,000  with  generator  on  centerline  and  set  at  a  =  5°  (weak-vortex  case). 


35 


-#•5*     -  mi        mmMm 


Figure  1 1 .—  Continued. 


36 


Figure  11.—  Continued. 


37 


■— •  -  ,,-    i> 


■■■■■■■■■ 


=^5? 


■■■■■■■■I 
mmmmssmm 

■BHmrf  i  ~ 

Bsauau 
■■■■■■■■ 


Tt^r  «^fe^.;i 


Figure  11.—  Continued. 


38 


■ggggjg^af!  I 


■■■IN  in  IhiMlliMMI 


Figure  11.—  Concluded. 


39 


5  =  10° 


a  =  10° 

a  =  2° 

HUE 

El  ■■■i  IE 

WBIillUHl 

iLililllllni 

■■■■■■■■■■■■ 

Figure  12  —  Visualization  of  flow  at  Re  =  120,000  with  generator  on  centerline  and  set  at  a  =  10°  (strong-vortex  case). 


40 


«! 


m§ 


K3iat>-I 


g||H||UH|||aaai 


Figure  12.—  Continued. 


41 


■■■■■—«■ 

■■■■■■■■MP* 


Figure  12.-  Continued. 


42 


a=  io° 

— J^ 4 

a=  -4° 

■Hi"" 


a 

| 

m 

.. 

a=  10° 

a=-8° 

I 

- 

- 

Figure  12.—  Continued. 


43 


■ 


Figure  12  —  Concluded. 


44 


^^  Hi  HIH1  H1H1         HIH1     Hr7e9TLHI 


Figure  13.-  Long-exposure  visualization  of  flow  at  Re  =  120,000  with  generator  on  centerline  and  set  at  a  =  0°  (no-vortex 

case). 


45 


Figure  13  —  Continued. 


46 


Figure  13.-  Concluded. 


47 


II     II     II     I^^H  II   W>^St 


Figure  14.—  Long-exposure  visualization  of  flow  at  Re  -  120,000  with  generator  on  centerline  and  set  at  a  -  5    (weak-vortex 

case). 


48 


BB     BB  BB     BB     SI 


Figure  14.—  Continued. 


49 


-  - -  - 

a  =  5° 









0& 

^ 

-r. 

M 











40 

H 

■■■Ml 

mhhM 

^^ 









■p- 

-20° 









a- 

Figure  14.—  Concluded. 


50 


Figure  15.—  Long-exposure  visualization  of  flow  at  Re  =  120,000  with  generator  on  centerline  and  set  at  a  =  10°  (strong- 
vortex  case). 


51 


Figure  15  —  Continued. 


52 




a  =  10° 



1 

1 

\ 



, 



■"■ 

I 





_      1 

6--H 

J 

L^g 

4 

M 

g*H 

— 1 

\ 

"^ 

a  = 

■8° 

1 

^^^ 

l 

■ 

mi      mi 


a  =  io° 


Figure  15.—  Concluded. 


53 


■ 


Figure  16-  Visualization  of  flow  at  Re  =  120,000  with  generator  off  centerline  and  set  at  a  =  0°  (no-vortex  case). 


54 


WBtm 


Figure  16.— Continued. 


55 


Figure  16.—  Continued. 


56 


—■■■—■ 


laif  ■   si    nun 


MB 

!■■■■■■ 


Figure  16.—  Continued. 


57 


Figure  16.—  Concluded. 


58 


■■» 


isir.  ■■■! 

HUHUHBHB 

■■■■■■■■■■■■■■a 


■BSHU 

■■■■■■I 


Figure  17.—  Visualization  of  flow  at  Re  =  120,000  with  generator  off  centerline  and  set  at  a  =  5°  (weak-vortex  case). 


59 


■!£>■■■■■■■■■■ 


Figure  17.— Continued. 


60 


Figure  17.—  Continued. 


61 


•  *****£? 


— — v  laaar 

IknlBBBi 


_-*#^*k       ^-ii 


■r 


- 

a=-10°    ; 

^ 

aa 

<S*^J< 

-^ 

Figure  17.-  Continued. 


62 


mmmmmmm^^mmmmmmmmm 

■■■■■■■■■■■■■■■■■a 


mm 


Figure  17  —  Concluded. 


63 


1 
a  =4° 

■ 

__,.    - 

r. —     — .._     -i 

wmm 


Figure  18.-  Visualization  of  flow  at  Re  =  120,000  with  generator  off  centerline  and  set  at  a  =  10°  (strong-vortex  case). 


64 


wbMM 


Figure  18  —  Continued. 


65 


UNSTABLE  L J 


Figure  18.—  Continued. 


66 


is  is    il    il  ■■  II 

■■■■■■■■■■■ 


Figure  18  — Continued. 


67 


Wf 


■ 


mpBMtum 

mmamm 


a  =  -16°  i 

1 — i~t 


Figure  18  —  Concluded. 


68 


L--. 

— 

^" 

mm 

— 

23 

E^^^H 

'-'•' 

1    1 

| 

| 

|     | 

Imh 


— __^ 


Figure  19.-  Long-exposure  visualization  of  flow  at  Re  =  120,000  with  generator  off  centerline  and  set  at  a  =  0°  (no-vortex 

case). 


69 


^ 

i^—— 

E 

_HEP 

■1 

■* 

__«_—- 











— 

-^^ 











— 

a=  16° 

™ 

_s 

L_ 

C 

■EBB7 

- 

mi 

■    i_____fc.. 

^ 

_^1 

__ 

a=  20° 

^V 

. 

C 

S3 

^^^^ 

- 

- 

■ 

— 

■ 

■ 









— 

— 

a=  0° 



■■■■l""""^* 

wm 

a  =  0° 

^^^^^gH 

■_______■____-_ 

^m 







— 

■ 

_________ 

■■■■_■ 

___i  _____>- 

■■ 











a=  -4° 





I 

Figure  19.—  Continued. 


70 


Figure  19  —  Concluded. 


71 


a  =  0° 


Figure  20.—  Long-exposure  visualization  of  flow  at  Re  =  120,000  with  generator  off  centerline  and  set  at  a  =  5°  (weak-vortex 

case). 


72 


5  =  5° 



___ 

-— 

—J 

—^■^83 

^^^^ 



-  - -  • 







, 



L— 





1 



^^■■B 

^^■■■1 

MM 

MM^JJ 







- --  — 





a 

=  0° 





Pi 



1 

Figure  20-  Continued. 


73 


Figure  20.—  Concluded. 


74 


r«\&w  -  -  mil    ■■    ■■  I  ■■    ■■ 


Figure  21 .-  Long-exposure  visualization  of  flow  at  Re  =  120,000  with  generator  off  centerline  and  set  at  a  =  10°  (strong- 
vortex  case). 


75 


1 

I 

a=  10° 

J 

^■1 

*-. 

— 

— 

" 

- 



__. 













ZT_ 

1 

^^^ 









; 











a=uu 

Figure  21.—  Continued. 


76 


•- 

I 

5=  10° 

— f;        - 









"-- 

----- 

__ 

— I — - 



-^ 

—I 1 

fJam 

^^^^"~ 

n          o° 

U  — 

-o 

■■  ■■Ml 


Figure  21 .—  Concluded. 


77 


AIRFOIL  ALONE 


AIRFOIL  AND  GENERATOR 

1.0  | 1 1 1 1 r 


L     0  - 


CD-1 


-.1 

.10 


.05  - 


CM      ° 


^\\ ' - " ^0* 

\  ■       f 

V  / 


-.10 


-15     -10       -5  0  5 

(a)  Generator  on  centerline. 


I 

r 

- • 

\ 

(a. 

| 

X  I 


! 

! 

I 

"\ 

:  \*r 

<u  ; 

i 

10        15       -15      -10      -5  0 

oi,  deg 

(b)  Generator  off  centerline. 


5         10       15 


Figure  22.—  Generator  wake  effects  on  airfoil  loads  when  a  -  0  . 


78 


GENERATOR  FEATHERED 


GENERATOR  AT  INCIDENCE 


L     0   - 


CD   .1    - 


o  - 


•M      o  - 


-.05  - 


T 


REDUCED  DRAG 
BUCKET 


CHANGE  IN  BUBBLE 


EARLY  MOMENT 
STALL 


(b) 


_L 


_L 


15        -15      -10 

oc,  deg 


-5 


10       15 


(b)a=10°. 


Figure  23.—  Airfoil  loads  during  vortex  encounter  with  generator  on  centerline. 


79 


CL    0  - 


.2  ^ 


'D 


0  - 


-.1 
.10 


'M 


0  - 


-.05  " 


-.10 


GENERATOR  FEATHERED 
GENERATOR  AT  INCIDENCE 

T 


V  4 

_ \t : j/.  .      - 

v  '/ 

X.  ' J 

■       v.  Y 


-15     -10      -5 


(a)  a  =  5< 


I 

1 

1 

11  ; 

1  v 

1  t 

1  *              --*** 

1         \          ^^!^> 

\*r 

S*^~         1-  1 

M 

1  1 
It  1 

■  *  1 

(a)     : 

1 

1 1 1 1 1 

EARLY  LIFT  STALL 


n 1 1 1 r 

CHANGE  IN  BUBBLE 


EARLY  MOMENT 
STALL 


10       15       -15      -10 

a,  deg 


-5 


I 

\  \ 
_               V 

I         I         I 

REDUCED  DRAG 

BUCKET 

I 

i   1 
tjr 

-* ^~^* 

I         I         I         I         I 

10       15 


(b)a=10° 


Figure  24.-  Airfoil  loads  during  vortex  encounter  with  generator  off  centerline. 


80 


POINTS  MEASURED  FROM  VORTEX  TRACK 
IN  EXPERIMENT 

NO  SEPARATION  \    COMPUTED  CENTROID 

WITH  SEPARATION  MODEL       0F  VORTICITY  LOCUS 


(a)  a  =  +8°. 


(b)a  =  +12c 


(c)a  =  +16°. 


Figure  25-  Comparison  of  theory  and  experiment. 


CM      0  - 


1 

VSAERO 
CALCULATION 


Figure  26.—  Comparison  of  theory  and  experiment  over  separated  region. 


82 


1     Report  No. 

NASA  TP-227  3   AVSCOM  TR  83-A-17 


2.   Government  Accession  No 


3    Recipient's  Catalog  No. 


4     Title  and  Subtitle 

AIRFOIL  INTERACTION  WITH  AN  IMPINGING  VORTEX 


5.  Report  Date 

February  1984 


6.    Performing  Organization  Code 


7     Author(s) 

K.    W.    McAlister   and    C.    Tung 


8.    Performing  Organization  Report  No. 

A- 954 3 


9.    Performing  Organization  Name  and  Address 

Aeromechanics  Laboratory 

USAAVSCOM  Research  and  Technology  Laboratories 

NASA  Ames  Research  Center 

Moffett  Field,  CA  94035 


10.   Work   Unit   No. 

K-1585 


11.   Contract  or  Grant  No. 


12    Sponsoring  Agency  Name  and  Address 

National  Aeronautics  and  Space  Administration 
Washington,  DC  20546 

and 
U.S.  Army  Aviation  Systems  Command 
St.  Louis,  MO  63166 


13.  Type  of  Report  and  Period  Covered 

Technical   Paper 


14.   Sponsoring  Agency  Code 

992-21-01 


15    Supplementary   Notes 

K.  W.  McAlister  and  C.  Tung:   Aeromechanics  Laboratory,  USAAVSCOM  Research 
and  Technology  Laboratories. 

Point  of  Contact:   K.  W.  McAlister,  Ames  Research  Center,  MS  215-1,  Moffett 
Field,  Calif.  94035      (415)965-5892  or  FTS  448-5892 


16.  Abstract 

The  tip  of  a  finite-span  airfoil  was  used  to  generate  a  streamwise 
vortical  flow,  the  strength  of  which  could  be  varied  by  changing  the  inci- 
dence of  the  airfoil.   The  vortex  that  was  generated  traveled  downstream 
and  interacted  with  a  second  airfoil  on  which  measurements  of  lift,  drag, 
and  pitching  moment  were  made.   The  flow  field,  including  the  vortex  core, 
was  visualized  in  order  to  study  the  structural  alterations  to  the  vortex 
resulting  from  various  levels  of  encounter  with  the  downstream  airfoil. 
These  observations  were  also  used  to  evaluate  the  accuracy  of  a  theoretical 
model. 


17.    Key  Words  (Suggested  by  Author(s) ) 

Vortex  interaction 
Vortex  instability 
Airfoil  stall 


18.   Distribution  Statement 

Unclassified 


Unlimited 


Subject  Category:   02 


19.   Security  Oassif.  (of  this  report! 

Unclassified 


20.  Security  Classif.  (of  this  page) 

Unclassified 


21.   No.  of  Pages 

86 


22.   Price" 

A02 


'For  sale  by  the  National  Technical  Information  Service,  Springfield,  Virginia    22161 


NASA-Langley,   1984 


National  Aeronautics  and 
Space  Administration 

Washington,  D.C. 
20546 

Official  Business 

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