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United States Department of Agriculture

Agricultural Research Service

Title: Analytical Solution for 1-D Heat Conduction-Convection Equation

Authors
item Shao, Mingan - IOWA STATE UNIVERSITY
item Horton, Robert - IOWA STATE UNIVERSITY
item Jaynes, Dan

Submitted to: Agronomy Abstracts
Publication Type: Abstract Only
Publication Acceptance Date: November 3, 1995
Publication Date: N/A

Technical Abstract: Coupled conduction and convection heat transfer occurs in soil when a significant amount of water is moving. In this paper, an analytical solution for the heat conduction-convection equation is presented. The solution is basically obtained by Fourier transformation. Results from the solution are compared to observations from a field infiltration experiment with natural temperature variations. The predicted temperature values are very similar to the observed ones. Temperature changes with time for different soil depths are predicted from conduction-convection theory and from conduction theory alone. During infiltration, convection heat transfer provided a large contribution for the temperature changes at all soil depths monitored. The theory also predicts accurate temperature effects on infiltration.

Last Modified: 12/21/2014
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