Power exponential velocity distributions in disordered porous media
Matyka, Maciej · Gołembiewski, Jarosław · Koza, Zbigniew
Original · EN
Velocity distribution functions link the micro- and macro-level theories of fluid flow through porous media. Here we study them for the fluid absolute velocity and its longitudinal and lateral components relative to the macroscopic flow direction in a model of a random porous medium. We claim that all distributions follow the power exponential law controlled by an exponent γ and a shift parameter u₀ and examine how these parameters depend on the porosity. We find that γ has a universal value 1/2 at the percolation threshold and grows with the porosity, but never exceeds 2.
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