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Unformatted text preview: dA c = differential surface area = P dx An energy balance across the differential element is given as: x dq conv A c dA s dx Fluid T , h q cond,x q cond,x+dx Heat gain by Conduction = Heat loss by Convection CASE TIP CONDITION (x = L) TEMPERATURE DISTRIBUTION / b FIN HEAT TRANSFER RATE q fin A Convection heat transfer: h L kd dx x L ( ) / = = cosh ( ) ( / ) sinh ( ) cosh ( / ) sinh m L x h mk m L x mL h mk mL++ M mL h mk mL mL h mk mL sinh ( / ) cosh cosh ( / ) sinh + + B Adiabatic: d dx x L / = = cosh ( ) cosh m L x mLM tanh mL C Prescribed temperature: (L) = L ( 29 L b mx m L x mL / sinh sinh ( ) sinh +M mL mL L b (cosh / ) sinh D Infinite fin (L ): (L) = 0 Exp(mx) M Fin Effectiveness, f , is defined as the ratio of the fin heat transfer rate to the heat transfer rate that would exist without the fin....
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This note was uploaded on 03/30/2008 for the course ME 3304 taught by Professor Stern during the Spring '08 term at Virginia Tech.
 Spring '08
 STERN

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