# 5_10 - Problem 5.10 Difference between inflow and outflow...

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Problem 5.10 Difference between inflow and outflow in orifice flow A wall in which there is a small nozzle, or hole, of radius R , separates two large compartments. The pressure p 1 in the left-hand compartment far from the nozzle is greater than the pressure p 2 in the right-hand compartment, and a steady volume flow Q takes place from 1 to 2. The flow through the nozzle is an incompressible, high Reynolds number flow typical of the ones termed "inviscid". However, as in all such flows, viscous forces are responsible for the phenomenon of flow separation, which gives rise to a profound difference between the inflow and outflow regions of the nozzle flow field. On the inflow side, in compartment 1, the flow is directed radially inward toward the nozzle entrance until one gets close to the nozzle, and is essentially inviscid. The pressure decreases and the velocity increases as one approaches the nozzle. In compartment 2, on the other hand, the flow separates from the wall and

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5_10 - Problem 5.10 Difference between inflow and outflow...

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