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Journal of Applied Mechanics and Technical Physics

2013 year, number 4

Permeability Coefficient in Darcy's Filtration Law

V. P. Bushlanov, I. V. Bushlanov, E. N. Sentyakova
Keywords: Darcy's law, permeability coefficient, specific surface area


Using the equation of living forces averaged over the volume of the filter and obtained from the Navier–Stokes equations of an incompressible fluid, an analytical formula for the permeability coefficient in the classical Darcy problem is derived to within the principal terms of the Poiseuille number. It is shown that the resulting permeability coefficient is inversely proportional to the square of the specific surface area and the dimensionless average dissipation rate of the kinetic fluid energy in the filter.