Abstract
The problem of transient, one-dimensional flow of an ideal gas through a deformable porous layer is considered. Due to the assumption of small displacement gradients, the mathematical model leads to a formulation in terms of a nonlinear partial differential equation familiar in gas flow theory. For the limiting case of zero surface pressure analytic short time and long time solutions are presented. These are matched at an intermediate value of time giving an accurate approximate solution. The general case of non-zero surface pressure is treated numerically using Galerkin's method. The analytical character of the early time solution is discussed for this general case.
Published Version
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