Problem 4.39 - min ⋅ V min x h ⋅ − ⎛ ⎝ ⎞ ⎠ w...

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Problem 4.39 [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 inlet and exit U w h 0 h x V exit x ( ) w d + 0 = Here we have V exit V max V max V min ( ) x h = But we also have V max 2 V min = Hence V exit 2 V min V min x h = 0 h x V exit x ( ) w d 0 h x 2 V min
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Unformatted text preview: min ⋅ V min x h ⋅ − ⎛ ⎝ ⎞ ⎠ w ⋅ ⌠ ⎮ ⎮ ⌡ d = 2 V min ⋅ h ⋅ V min h 2 2 h ⋅ ⋅ − ⎛ ⎜ ⎝ ⎞ ⎠ w ⋅ = 3 2 V min ⋅ h ⋅ w ⋅ = 3 2 V min ⋅ h ⋅ w ⋅ U w ⋅ h ⋅ = V min 2 3 U ⋅ = Hence V min 2 3 7.5 × m s ⋅ = V min 5.00 m s ⋅ =...
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