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Two immiscible, incompressible, viscous fluids having same densities but different viscosities are contained between two infinite horizontal parallel plates, 2 m apart as shown below. The bottom plate is fixed and the upper plate moves to the right with a constant velocity of 3 m/s. With the assumptions of Newtonian fluid, steady and fully developed laminar flow with zero pressure gradient in all directions, the momentum equations simplify to d2udy2=0If the dynamic viscosity of the lower fluid μ2, is twice that of the upper fluid μ1, then the velocity at the interface (round off to two decimal places) is m/s.1

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Two immiscible, incompressible, viscous fluids having same densities but different viscosities are contained between two infinite horizontal parallel plates, 2 m apart as shown below. The bottom plate is fixed and the upper plate moves to the right with a constant velocity of 3 m/s. With the assumptions of Newtonian fluid, steady and fully developed laminar flow with zero pressure gradient in all directions, the momentum equations simplify to



d2udy2=0



If the dynamic viscosity of the lower fluid μ2, is twice that of the upper fluid μ1, then the velocity at the interface (round off to two decimal places) is m/s.









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