156
APPENDIX I
value of H. It is evident that the following expression will then
be obtained:
»i *
ii
1
from which, according to Eq. (2),
'H-h-
h
from which
and
2VH-h
= 0,
. (3)
- (4)
In taking into account this last relationship, Eq. (2) will take
the form
^-A,
and
The actual quantity of gas Q flowing under the inverted weir
will be less than the theoretical volume by reason of the frictional
and other resistance; therefore these equations will become:
<2=?\5
2gH
•A,-A,
«-\3
2gh^
-A,,
(5)
(6)
in which the coefficients p, and « may not be equal, as, in passing
from equations (3) and (4) to the actual flow of the gas, it will be
found that the relation between H and h is different from that
given in these equations.
According to the researches of Bazin, the coefficient M for the
flow of water is given by the formula
, (7)
|^|M= [0.70+0. 185|] [0.
in which p is the depth of the channel and E& must not be less
than |ff .
« E being the distance DD (Fig. 25).