A Treatise On Hydraulics
A Treatise On Hydraulics
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78. Flow of compressible fluids from orifices when the variation of density is taken into account. — When the flow is due to pressure differences which are not small com- pared with the absolute pressures in the fluid, the work of expansion is not negligible. Suppose the fluid flowing from a point in a reservoir where the pressure is Pj, and where it is sensibly at rest, through an orifice into a space where the pressure is Pj, and where it has acquired the velocity v^.
Neglecting any differenc...e of level, and introducing a coefficient of velocity c^ to allow for the resistance of the orifice, from eq. (18), «'2 = «=Y^L 2^- T^i^iU' )] (19).
Approximate equations. — When the pressure difference is small, let 8 = (Pi - Pa)/?!, so that p = Pj/Pj = 1 - S, where S is a small fraction.
1 7 7 Pi 7-l._ 7-lPi-P2 VI COMPRESSIBLE FLUIDS 129 Then eq. (19) becomes ^2 = ''.,y{2^^^} • • (20), the approximate equation previously obtained on the assump- tion that the fluid could be treated as incompressible for small pressure differences.
What to read after A Treatise On Hydraulics?
You can find similar books in the "Read Also" column, or choose other free books by William Cawthorne Unwin to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
78. Flow of compressible fluids from orifices when the variation of density is taken into account. — When the flow is due to pressure differences which are not small com- pared with the absolute pressures in the fluid, the work of expansion is not negligible. Suppose the fluid flowing from a point in a reservoir where the pressure is Pj, and where it is sensibly at rest, through an orifice into a space where the pressure is Pj, and where it has acquired the velocity v^.
Neglecting any differenc...e of level, and introducing a coefficient of velocity c^ to allow for the resistance of the orifice, from eq. (18), «'2 = «=Y^L 2^- T^i^iU' )] (19).
Approximate equations. — When the pressure difference is small, let 8 = (Pi - Pa)/?!, so that p = Pj/Pj = 1 - S, where S is a small fraction.
1 7 7 Pi 7-l._ 7-lPi-P2 VI COMPRESSIBLE FLUIDS 129 Then eq. (19) becomes ^2 = ''.,y{2^^^} • • (20), the approximate equation previously obtained on the assump- tion that the fluid could be treated as incompressible for small pressure differences.
What to read after A Treatise On Hydraulics?
You can find similar books in the "Read Also" column, or choose other free books by William Cawthorne Unwin to read onlineMoreLess
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