Oil of viscosity = 0.0270 Pa-s and density p=0.796 kg/m3 is sandwiched in the small gap...

 

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Oil of viscosity = 0.0270 Pa-s and density p=0.796 kg/m3 is sandwiched in the small gap between two very large parallel flat plates. A third flat plate of surface area A=40 cm x 40 cm (on one side) is dragged through the oil at steady velocity V=1.00 m/s to the right as illustrated. The top plate is stationary, but the bottom plate is moving at velocity V= 0.300 m/s to the left as sketched. The heights are h=1.00 mm and h2=2.60 mm. The force required to pull the plate through the oil is F. Oil Oil H.P H.P h h Area = A Area = A YA V= 1.00 m/s V=0.300 m/s Sketch the velocity profiles and calculate the distance yA where the velocity is zero. Hint: Since the gaps are small and the oil is very viscous, the velocity profiles are linear in both gaps. Use the no-slip conditions at the walls to determine the velocity profile in each gap. Oil of viscosity = 0.0270 Pa-s and density p=0.796 kg/m3 is sandwiched in the small gap between two very large parallel flat plates. A third flat plate of surface area A=40 cm x 40 cm (on one side) is dragged through the oil at steady velocity V=1.00 m/s to the right as illustrated. The top plate is stationary, but the bottom plate is moving at velocity V= 0.300 m/s to the left as sketched. The heights are h=1.00 mm and h2=2.60 mm. The force required to pull the plate through the oil is F. Oil Oil H.P H.P h h Area = A Area = A YA V= 1.00 m/s V=0.300 m/s Sketch the velocity profiles and calculate the distance yA where the velocity is zero. Hint: Since the gaps are small and the oil is very viscous, the velocity profiles are linear in both gaps. Use the no-slip conditions at the walls to determine the velocity profile in each gap.