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Title: Approximate solutions of heat conduction in a medium with variable properties
Authors: Yen, Yin-Chao.
Keywords: Conduction
Mathematical analysis
Heat transfer
Publisher: Cold Regions Research and Engineering Laboratory (U.S.)
Engineer Research and Development Center (U.S.)
Series/Report no.: CRREL report ; 87-19.
Description: CRREL Report
Abstract: The approximate heat balance integral method (HBIM) is extended to the case of a medium with variable properties such as snow. The case of linear variation of thermal conductivity was investigated. An alternative heat balance intergral method (AHBIM) was developed. Both constant surface temperature and surface heat flux were considered. A comparison was made of the temperature distribution from the HBIM, AHBIM and an analytical method for the case of constant surface temperature. In general, results agree quite well with the analytical method for small values of dimensionless time t , but the difference becomes more pronounced as t increases. It was found that the AHBIM with a quadratic temperature profile gave a somewhat better result, especially when the value of the dimensionless distance n is small. For a specific property function of E(n) = e(n), closed form solutions were obtained. The results, when compared with those from HBIM, AHBIM and the analytical method were found to agree exceptionally well with the analytical method, especially for large values of t. Note: Examine the downloaded to see the accurate equations.
Rights: Approved for public release; distribution is unlimited.
Appears in Collections:CRREL Report

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