Modified Darcy’s law to Predict Low Reynolds Flow Through Porous Media

M.C. Amiri

The flow rate of liquids through the porous media, as in slow deep filters of the column of packed resin beads, is of practically interest. It has been well established that for low Reynolds number in flow through porous media, the pressure drop follows the Darcy’s law. As low Reynolds number in flow through porous media resembles capillary flow due to surface tension forces, a key parameter looks to be neglected in Darcy’s law. In the following analysis, using a capillary model to chararacterize the porous medium and assuming that each pore is a vertical cylindrical tube, a general form for low Reynolds flow through porous media has been developed. It can be shown that Darcy’s law is valid only for very deep porous media.

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