Substitution of Eqn 25c into Darcy's law
, in m-space, yields:
For mathematical formulation Darcy's law
, equation of continuity, the standard relations of saturations, pressures, permeability of injected liquid and native liquids are considered.
The K values, determined from the porosity, are used to calculate the rate of penetration into the glass mat by Darcy's Law
This allows the use of Darcy's law
to develop the governing equations (4, 9, 11) given as:
However, in the quest to find such a technique there is one indirect method that provides a starting point, namely that based on Darcy's Law
(van Bavel et al.
The flow in the channel is described by Bingham model, whereas the flow in the permeable bed is according to Darcy's law
Existing laboratory methods of determining K are based on development of a static or dynamic hydraulic head over the infiltration soil column, independent of whether the water enters into the soil from the top or the bottom, in this connection, it is necessary to emphasise that under the physical conditions of applicability of Darcy's law
the K reduced to the hydraulic gradient, is equal to unity and assumed to be constant.
Modifications for the classical Darcy's law
were considered by the Beavers and Joseph , Saffman  and others.
In a particulate air filter, the high operational velocities (Reynolds number > 20) often result in nonlinear deviations from Darcy's Law
for flow through the media (Rivers and Murphy 2000; Chen et al.
In this paper, a statistical analysis is performed to guarantee the applicability of the modified Darcy's law
for the particular set of the chosen variable values in our model.
Hooke's law of elasticity, Fourier's law of heat conduction, and Darcy's Law
for fluid flow in porous media.
Added support for the fractional power Darcy's law
for flow through porous media in scenarios involving turbulence.