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Two Dimensional Heat Transfer in Porous Media with Steady-State Water Flow¹

ABSTRACT

Theoretical and experimental temperature distributions were examined for laboratory columns of Hanford sandy loam, Panoche clay loam, and Aiken clay saturated with water flowing at a constant rate. The temperature of the water entering the columns was kept below or above the ambient temperature for several values of soil water velocity. Temperature distributions were predicted as a function of flow velocity, radial size, apparent thermal conductivity, and the wall heat transfer coefficient of the cylindrical container for the soil. Values of the apparent axial and radial thermal conductivity depend upon the flow velocity at values less than 0.3 cm min^-1 with only one exception. The value of the axial thermal conductivity was 1.1 greater than that of the radial thermal conductivity for all soils and flow velocities. Increasing the soil column radius had the same effect on the temperature distribution as increasing the water velocity.

¹ Contribution from the Department of Water Science & Engineering, University of California, Davis, Calif.

² Post Graduate Research Fellow and Professors of Water Science, Dept. of Water Science and Engineering, Univ. of California, Davis.

Received for publication July 21, 1970. Accepted for publication December 1, 1970.