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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).