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Problem 4.36 - ⎮ ⎮ ⌠d = 2 H y V m cos π y ⋅ 2 H...

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Problem 4.36 [Difficulty: 2] Given: Data on flow at inlet and outlet of channel Find: Find u max Solution: 0 = CS A d V r r ρ Basic equation Assumptions: 1) Steady flow 2) Incompressible flow Evaluating at 1 and 2 ρ V 1 H w H H y ρ V 2 y () w d + 0 = or V 1 H H H y V m cos π y 2H
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Unformatted text preview: ⎮ ⎮ ⌡ d = 2 H y V m cos π y ⋅ 2 H ⋅ ⎛ ⎝ ⎞ ⎠ ⋅ ⌠ ⎮ ⎮ ⌡ d ⋅ = 2 V m ⋅ 2 H ⋅ π ⋅ sin π 2 ⎛ ⎝ ⎞ ⎠ sin 0 ( ) − ⎛ ⎝ ⎞ ⎠ ⋅ = 4 H ⋅ V m ⋅ π = V m π 4 V 1 ⋅ = Hence...
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