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Choking in a Circular Orifice Plate in a pipe

by boka33
Tags: choking, circular, orifice, pipe, plate
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boka33
#1
Jan21-09, 01:14 PM
P: 9
The equation I have for velocity through a circular orifice plater is as follows:

[tex]Ud = \frac{Yi\timesC}{\sqrt{(1-(d/D)^4)}}\sqrt{\frac{(2\times(P_{2}-P_{1})}{\rho}}[/tex]

To my understanding, flow becomes choked when this velocity exceeds a Mach number of 1, and is no longer sub-sonic.

Intuitively, decreasing orifice diamter would increase the likelyhood of choke (at least in my mind), but this does not seem to be the case.

If d/D is decreased, the denominator becomes larger, and the velocity becomes smaller, in turn yielding a smaller mach number.

Can anyone explain this so that it make more intuitive sense to me, or tell me if my thouhgt process is off.

Thanks alot
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