ANALYTICAL AND COMPUTATIONAL RESULTS FOR BOUNDARY-LAYER EQUATIONS IN POROUS MEDIUM

The aim of this paper is to determine analytic solutions to the steady/unsteady 2-D flows of a Newtonian fluid passing through a porous media. Using the stream function, the analytical general solutions of the non-linear equations correspond-ing to boundary-layer flows are determined by employing the extended approach of variable separation. Some specific flow problems, described by given initial and boundary conditions, are investigated using the obtained general analytic solu-tions.

Automated summary

The aim of this paper is to find analytical solutions for the steady/unsteady 2-D flows of a Newtonian fluid passing through a porous media. The general solutions to the non-linear equations of boundary-layer flows are determined using the extended approach of variable separation and the stream function. The obtained general analytic solutions are then used to investigate specific flow problems based on given initial and boundary conditions.