Thermodynamics HW Solutions 124

Thermodynamics HW - Chapter 2 Heat Conduction Equation 2-83 Both sides of a large stainless steel plate in which heat is generated uniformly are

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Chapter 2 Heat Conduction Equation 2-83 Both sides of a large stainless steel plate in which heat is generated uniformly are exposed to convection with the environment. The location and values of the highest and the lowest temperatures in the plate are to be determined. Assumptions 1 Heat transfer is steady since there is no indication of any change with time. 2 Heat transfer is one-dimensional since the plate is large relative to its thickness, and there is thermal symmetry about the center plane 3 Thermal conductivity is constant. 4 Heat generation is uniform. Properties The thermal conductivity is given to be k =15.1 W/m °C. Analysis The lowest temperature will occur at surfaces of plate while the highest temperature will occur at the midplane. Their values are determined directly from C 155 ° = ° × + ° = + = C . W/m 60 m) 015 . 0 )( W/m 10 5 ( C 30 2 3 5 h L g T T s C 158.7 ° = ° × + ° = + = C) W/m. 1 . 15 ( 2 m) 015 . 0 )( W/m 10 5 ( C 155 2 2 3 5 2 k L g T T s o T
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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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