Thermodynamics HW Solutions 91

Thermodynamics HW Solutions 91 - Chapter 2 Heat Conduction...

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Chapter 2 Heat Conduction Equation 2-39C We try to avoid the radiation boundary condition in heat transfer analysis because it is a non-linear expression that causes mathematical difficulties while solving the problem; often making it impossible to obtain analytical solutions. 2-40 A spherical container of inner radius , outer radius , and thermal conductivity k is given. The boundary condition on the inner surface of the container for steady one-dimensional conduction is to be expressed for the following cases: r 1 r 2 r 1 r 2 ( a ) Specified temperature of 50 ° C: Tr () 1 50 = ° C ( b ) Specified heat flux of 30 W/m 2 towards the center: k dT r dr 1 30 = W/m 2 ( c ) Convection to a medium at with a heat transfer coefficient of h : T k dT r dr hTr T [() ] 1 1 =− 2-41 Heat is generated in a long wire of radius covered with a plastic insulation layer at a constant rate of . The heat flux boundary condition at the interface (radius
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This note was uploaded on 01/14/2012 for the course PHY 4803 taught by Professor Dr.danielarenas during the Fall '10 term at UNF.

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