Approximate Solution to Neumann Problem for Soil Systems

[+] Author and Article Information
V. J. Lunardini

U.S. Army Cold Regions Research and Engineering Laboratory, Hanover, N. H. 03755

R. Varotta

Department of National Defense, Ottawa, Canada

J. Energy Resour. Technol 103(1), 76-81 (Mar 01, 1981) (6 pages) doi:10.1115/1.3230817 History: Received October 31, 1979; Revised December 09, 1980; Online October 22, 2009


An approximate solution to the Neumann problem has been obtained by using the heat balance integral method. The accuracy of the solution is shown to be very good for all practical soil system cases. The thermal properties of soil systems are also expressed in terms of only the liquid volumetric fraction and combine with the approximate solution to give a rapid, accurate solution for freeze / thaw problems without using graphs, tables, or transcendental equations. A simple relation is also given for the analogous problem in cylindrical coordinates, but its range of validity is somewhat limited.

Copyright © 1981 by ASME
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