Find the velocity field, and volumetric flowrate between two plates of width W and separation distance H when the bottom plate is held fixed and the top plate is pulled to the right with velocity V . Also find the force necessary to push the top plate.
1. Find the velocity field, and volumetric flowrate between two plates of
width W and separation distance H when the bottom plate is held
fixed and the top plate is pulled to the right with velocity V . Also find
the force necessary to push the top plate.
2. Now hold both plates stationary, but impose pressure p0 on the left end
of the channel, and pressure p0 + ∆p (∆p > 0) on the right end of the
channel. Find the velocity field and volumetric flow rate.
3. What is the volumetric flow rate if you simultaneously move the top
plate and impose the same pressure drop?
4. Lid-driven cavity flow is exactly this last situation, except that both
ends of the channel are capped off, and the pressure drop is not imposed, but rather arises from the sliding of the lid combined with being
enclosed. What is the pressure drop that arises?
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