Question
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
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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