Thermodynamic Analysis of the Darcy Law

[+] Author and Article Information
R. G. Mokadam

Department of Mechanical Engineering, Indian Institute of Technology, Kharagpur, S. E. Ry., India

J. Appl. Mech 28(2), 208-212 (Jun 01, 1961) (5 pages) doi:10.1115/1.3641653 History: Received March 29, 1960; Online September 16, 2011


The Darcy law is used extensively to describe the flow of fluids through porous media. According to this law the fluid flow is linearly dependent upon the pressure gradient and the gravitational force. The proportionality factor is generally known as the permeability of the porous medium. The Darcy law cannot be derived from the Navier-Stokes equation since this equation includes terms which characterize the fluid only. With the help of nonreversible thermodynamics it is possible to develop a general equation of motion of a fluid through a porous body, and obtain the Darcy law as a special case of such an equation.

Copyright © 1961 by ASME
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