Problem 4.18 - Problem 4.18 Given: Control Volume with...

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Problem 4.18 [Difficulty: 2] Given: Control Volume with parabolic velocity distribution Find: Kinetic energy flux Solution: Apply the expressions for kinetic energy flux Governing equation: = A A d V V kef r r ρ 2 2 Assumption: (1) Incompressible flow For a linear velocity profile i R r u i u V ˆ 1 ˆ 2 max = = r = = 2 max 1 R r u u V and also i rdr A d ˆ 2 π = r For the volume flow rate: () h R r R r R r R r R r R r R r r u dr R r R r R r r u rdr R r R r R r u rdr R r u R r R r u i rdr i R r u R r u kef 0 6 8 4 6 2 4 2 3 max 0 6 7 4 5 2 3 3 max 0 6 4 2 3 max 0 2 max 4 2 2 max 0 2 max 2 2 max 8 2 4 3 2 3 3 3 3 1 1 2 2 1 2 1 ˆ 2 ˆ 1 1 2 1 + = + = + =
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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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