A Numerical Study of Thermal Dispersion in Porous Media

Author:

Kuwahara F.1,Nakayama A.1,Koyama H.1

Affiliation:

1. Department of Mechanical Engineering, Shizuoka University, 3-5-1 Johoku, Hamamatsu, 432 Japan

Abstract

Thermal dispersion in convective flow in porous media has been numerically investigated using a two-dimensional periodic model of porous structure. A macroscopically uniform flow is assumed to pass through a collection of square rods placed regularly in an infinite space, where a macroscopically linear temperature gradient is imposed perpendicularly to the flow direction. Due to the periodicity of the model, only one structural unit is taken for a calculation domain to resolve an entire domain of porous medium. Continuity, Navier–Stokes and energy equations are solved numerically to describe the microscopic velocity and temperature fields at a pore scale. The numerical results thus obtained are integrated over a unit structure to evaluate the thermal dispersion and the molecular diffusion due to tortuosity. The resulting correlation for a high-Peclet-number range agrees well with available experimental data.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Reference24 articles.

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3. Arquis, E., Caltagirone, J. P., and Delmas, A., 1993, “Derivation in Thermal Conductivity of Porous Media Due to High Interstitial Flow Velocity,” Proc. 22nd Int. Thermal Conductivity Conf., Tempe, AZ, Nov.

4. Cheng P. , 1978, “Heat Transfer in Geothermal Systems,” Advances in Heat Transfer, Vol. 14, pp. 1–105.

5. Coulaud O. , MorelP., and CaltagironeJ. P., 1988, “Numerical Modeling of Nonlinear Effects in Laminar Flow Through a Porous Medium,” J. Fluid Mech., Vol. 190, pp. 393–407.

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