Thermodynamics HW Solutions 418

Thermodynamics HW Solutions 418 - Chapter 5 Numerical...

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Unformatted text preview: Chapter 5 Numerical Methods in Heat Conduction 5-32 The handle of a stainless steel spoon partially immersed in boiling water loses heat by convection and radiation. The finite difference formulation of the problem is to be obtained, and the tip temperature of the spoon as well as the rate of heat transfer from the exposed surfaces are to be determined. Assumptions 1 Heat transfer through the handle of the spoon is given to be steady and one-dimensional. 2 Thermal conductivity and emissivity are constant. 3 Convection heat transfer coefficient is constant and uniform. Properties The thermal conductivity and emissivity are given to be k = 15.1 W/m C and = 0.8. h , T T surr 6 5 4 3 2 1 0 3 cm Analysis The nodal spacing is given to be x =3 cm. Then the number of nodes M becomes 7 1 cm 3 cm 18 1 = + = + = x L M The base temperature at node 0 is given to be T = 95 C. This problem involves 6 unknown nodal temperatures, and thus we need to have 6...
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This note was uploaded on 01/19/2012 for the course PHY 4803 taught by Professor Dr.danielarenas during the Fall '10 term at UNF.

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