Plane steady-state incompressible fluid flow through a porous medium with a nonlinear resistance laws in the presence of a sink

TLDR: In this paper, a power law and a special form reducing to analytic functions in the hodograph plane are constructed for nonlinear fluid flows through a porous medium which simulate a sink located at the same distance from the roof and floor of the stratum.

Abstract: Plane nonlinear fluid flows through a porous medium which simulate a sink located at the same distance from the roof and floor of the stratum for two nonlinear flow laws are constructed. The following flow laws are taken: a power law and a law of special form reducing to analytic functions in the hodograph plane.