Problem 4.15 - ( ) h h y h y y h Vw dy y h Vw i dy w i h V...

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Problem 4.15 [Difficulty: 2] Given: Control Volume with linear velocity distribution Find: Volume flow rate and momentum flux Solution: Apply the expressions for volume and momentum flux Governing equations: = A dA V Q r ( ) = A A d V V mf r r r ρ Assumption: (1) Incompressible flow For a linear velocity profile i y h V V ˆ = r and also i dy w A d ˆ = r For the volume flow rate:
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Unformatted text preview: ( ) h h y h y y h Vw dy y h Vw i dy w i h V Q 2 2 ˆ ˆ − = − = − ⋅ = ∫ ∫ = = Vhw Q 2 1 − = The momentum flux is h h y h y y i h w V dy y i h w V ydy h Vw i h V mf 3 2 2 2 2 2 3 ˆ ˆ ˆ − = − = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − ⋅ = ∫ ∫ = = i wh V mf ˆ 3 1 2 − =...
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.

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