# Choking in a Circular Orifice Plate in a pipe

by boka33
Tags: choking, circular, orifice, pipe, plate
 P: 9 The equation I have for velocity through a circular orifice plater is as follows: $$Ud = \frac{Yi\timesC}{\sqrt{(1-(d/D)^4)}}\sqrt{\frac{(2\times(P_{2}-P_{1})}{\rho}}$$ 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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