We simulate the flow of air through a channel with a narrow bridge passage (or throat) at high Reynolds numbers, using the method of Smoothed Particle Hydrodynamics (SPH). The depth of the channel is assumed to be infinite so that the flow is planar. A fully-developed laminar flow with a time increasing velocity is used at the inlet of the channel. The calculation is followed past the point where the airflow velocity becomes sonic (or choked) at the outlet of the throat. We have presented a theoretical model that predicts the well known experimental result that when the flow becomes critical, the pressure drop across the channel reaches a limiting value of ∼ 0.52–0.53. Our numerical calculation reproduced this result with very high accuracy.

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