Mathematical Description of Fluid Flow in a Porous Medium

In the combined region, a mathematical model and a numerical approach for the investigation are offered. A porous medium through which the liquid travels and a zone lacking a porous structure make up this area (free zone). Based on an interpenetrating heterogeneous model, the flow is described with a single equation for the weight area. An analytical solution is achieved in the one-dimensional situation. The answer found using the moving node approach is compared to this one. It was decided to use the Brinkman layer to analyse the experimental data. For a two-dimensional issue with a partly filled porous media, a numerical solution is found.

Author(s) Details:

Dalabaev Umurdin,
University of World Economy and Diplomacy, 700007, Buyuk Ipak Yuli street, 54, Tashkent, Uzbekistan.

Ikramova Malika,
Scientific Research Institute of Irrigation and Water Problems, Uzbekistan.

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