Incompressible fluid of negligible viscosity is pumped at total volume flow rate \(Q\) through a porous surface into the small gap between closely spaced parallel plates as shown. The fluid has only horizontal motion in the gap. Assume uniform flow across any vertical section. Obtain an expression for the pressure variation as a function of \(x\). Apply conservation of mass and the momentum equation to a differential control volume of thickness \(d x\), located at position \(x\).

Transcribed Image Text:

-L- Q P4.97 V (x)