Two immiscible Newtonian liquids flow steadilybetween two large parallel plates under
Chapter 2, Problem 2-126(choose chapter or problem)
Two immiscible Newtonian liquids flow steadilybetween two large parallel plates under the influence of anapplied pressure gradient. The lower plate is fixed while theupper one is pulled with a constant velocity of U 5 10 m/s.The thickness, h, of each layer of fluid is 0.5 m. The velocityprofile for each layer is given byV1 5 6 1 ay 2 3y2, 20.5 # y # 0V2 5 b 1 cy 2 9y2, 0 # y # 20.5where a, b, and c are constants.(a) Determine the values of constants a, b, and c.(b) Develop an expression for the viscosity ratio, e.g., m1/m2 5?(c) Determine the forces and their directions exerted by theliquids on both plates if m1 5 1023 Pa?s and each plate has asurface area of 4 m2.
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