Thermodynamics HW Solutions 659

Thermodynamics HW - Chapter 8 Internal Forced Convection 8-46 Turbulent flow of a fluid through an isothermal square channel is considered The

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Chapter 8 Internal Forced Convection 8-46 Turbulent flow of a fluid through an isothermal square channel is considered. The change in the pressure drop and the rate of heat transfer are to be determined when the free-stream velocity is doubled. Analysis The pressure drop of the fluid for turbulent flow is expressed as D L D D L D D L D L f P m m m m m ρ υ 2 . 0 8 . 1 2 2 . 0 2 . 0 2 . 0 2 2 . 0 2 1 092 . 0 2 184 . 0 2 Re 184 . 0 2 = = = = Δ V V V V V When the free-stream velocity of the fluid is doubled, the pressure drop becomes Turbulent flow V m L D L D D L D D L D L f P m m m m m 2 . 0 8 . 1 2 . 0 2 2 . 0 2 . 0 2 . 0 2 2 . 0 2 2 ) 2 ( 368 . 0 2 4 ) 184 . 0 2 4 Re 184 . 0 2 ) 2 ( = = = = Δ V V (2V V V Their ratio is 3.48 = = = Δ Δ 2 . 0 8 . 1 8 . 1 2 . 0 1 2 ) 2 ( 4 092 . 0 ) 2 ( 368 . 0 m m V P P V The rate of heat transfer between the fluid and the walls of the channel is expressed as ln 3 / 1 8 . 0 8
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This note was uploaded on 01/22/2012 for the course PHY 4803 taught by Professor Dr.danielarenas during the Fall '10 term at UNF.

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