Mathematical Description of Fluid Flow in a Porous Medium

Authors

  • 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.

DOI:

https://doi.org/10.9734/bpi/ntpsr/v3/2409B

Keywords:

Movable nodes method, Brinkman equation, Rahmatulin equation, fluid-porous interface

Abstract

A mathematical model and a numerical method for the study are presented flows in the combined region. This region includes a porous medium, through the pores of which the liquid moves, and a zone without a porous framework (free zone). The flow is modeled with a single equation for the weight area, based on an interpenetrating heterogeneous model. In the one-dimensional case, an analytical solution is obtained. This solution is compared with the solution obtained by the moving node method. The analysis of experimental data with the Brinkman layer has been carried out. A numerical solution is obtained for a two-dimensional problem with a partially filled porous medium.

   

Author Biographies

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.

 

 

Published

2022-05-16

How to Cite

Dalabaev Umurdin, & Ikramova Malika. (2022). Mathematical Description of Fluid Flow in a Porous Medium. New Trends in Physical Science Research Vol. 3, 143–151. https://doi.org/10.9734/bpi/ntpsr/v3/2409B

Issue

New Trends in Physical Science Research Vol. 3

Section

Chapters