The above engineering system shows a series of thin parallel plates aligned with the intake flows. The plate spacing is h and the plate length is L.
Assume that the flow is incompressible. Derive expression for the pressure drop pin-pout between inflow and outflow streams for the high velocity flow where a boundary layer develops on each surface independent of adjacent plates.
Solution.
The drag force on each plate is
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Now choosing one channel as control volume
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or,  |
or,  independent of the width of the plate |
