Fluid Mechanics seventh edition by Frank M. White · Problem P3.31

Integral Relations for a Control Volume — Frank M. White

Physics — Fluid Mechanics · unsteady-continuity-control-volume

Problem

A bellows may be modeled as a deforming wedge-shaped volume as in Fig. P3.31. The check valve on the left (pleated) end is closed during the stroke. If bb is the bellows width into the paper, derive an expression for outlet mass flow m˙0\dot{m}_0 as a function of stroke θ(t)\theta(t).

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