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Two immiscible Newtonian fluids are contained between infinite parallel plates. The plates are separated by distance...

Two immiscible Newtonian fluids are contained between infinite parallel plates. The plates are separated by distance 4h, and the top fluid layer thickness is h. The bottom layer has thickness 3h. The viscosity of the bottom fluid is three times that of the top fluid. If the lower plate moves at a constant speed of 20 m/s and the upper plate moves at a constant speed of 40 m/s, what is the average velocity within the bottom liquid layer? We assume steady state.

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