Problem 2.57 - Problem 2.57 [Difficulty: 2] Given: Flow of...

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Problem 2.57 [Difficulty: 2] Given: Flow of three fluids between two plates Find: Upper plate velocity; Interface velocities; plot velocity distribution Solution: The shear stress is the same throughout (the velocity gradients are linear, and the stresses in the fluids at the interfaces must be equal and opposite). Given data F 100 N = h 1 0.5 mm = h 2 0.25 mm = h 3 0.2 mm = A1 m 2 = μ 1 0.15 Ns m 2 = μ 2 0.5 m 2 = μ 3 0.2 m 2 = The (constant) stress is τ F A = τ 100 Pa = For each fluid τμ V y = or V τ∆ y μ = where
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