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Unformatted text preview: Chapter 5 Numerical Methods in Heat Conduction Assumptions 1 Heat transfer is onedimensional since the pond is large relative to its depth. 2 Thermal properties, heat transfer coefficients, and the indoor temperatures are constant. 3 Radiation heat transfer is significant. 4 There are no convection currents in the water. 5 The given time step t = 15 min is less than the critical time step so that the stability criteria is satisfied. 6 All heat losses from the pond are negligible. 7 Heat generation due to absorption of radiation is uniform in each layer. Properties The conductivity and diffusivity are given to be k = 0.61 W/m. C and . The volumetric absorption coefficients of water are as given in the problem. = 015 10 6 . m 2 / s Analysis The nodal spacing is given to be x = 0.25 m. Then the number of nodes becomes 1 / + = x L M = 1/0.25+1 = 4. This problem involves 5 unknown nodal temperatures, and thus we need to have 5 equations. Nodes 2, 3, and 4 are interior nodes, and thus for them we can use the general explicit finite equations....
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This note was uploaded on 01/22/2012 for the course PHY 4803 taught by Professor Dr.danielarenas during the Fall '10 term at UNF.
 Fall '10
 Dr.DanielArenas
 Thermodynamics, Mass, Heat, Radiation

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