ON A SOLUTION TO THE EQUATION OF FILTRATION OF A LIQUID IN A PERMEABLE MEDIUM

The authors consider nonstationary fl ow of a gas from a screen vacuum thermal insulation into vacuum and discuss its coupling to the Boussinesq solution of the classical problem on fi ltration of a liquid in a porous medium. A nonlinear one-dimensional fi ltration equation has been solved numerically, and it has been shown that the outfl ow from a porous body uniformly fi lled with the gas occurs in two stages. The fi rst stage involves the formation of selfsimilar fl ow, and the second is fully described by the Boussinesq solution
   
Author:  V. A. Nevrovskii and V. A. Shishkin
Keywords:  porous body, fi ltration equation, screen vacuum insulation, Boussinesq solution, self-similar flow
Page:  892