Thermodynamics HW Solutions 155

Thermodynamics HW Solutions 155 - Chapter 2 Heat Conduction...

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Chapter 2 Heat Conduction Equation 2-135 A large plane wall is subjected to convection on the inner and outer surfaces. The mathematical formulation, the variation of temperature, and the temperatures at the inner and outer surfaces to be determined for steady one-dimensional heat transfer. Assumptions 1 Heat conduction is steady and one-dimensional. 2 Thermal conductivity is constant. 3 There is no heat generation. Properties The thermal conductivity is given to be k = 0.77 W/m °C. Analysis ( a ) Taking the direction normal to the surface of the wall to be the x direction with x = 0 at the inner surface, the mathematical formulation of this problem can be expressed as dT dx 2 2 0 = and dx dT k T T h ) 0 ( )] 0 ( [ 1 1 = ] ) ( [ ) ( 2 2 = T L T h dx L dT k ( b ) Integrating the differential equation twice with respect to x yields
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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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