Mathematical Description of Fluid Flow in a Porous Medium| Chapter 13 | New Trends in Physical Science Research Vol.3

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.

Please see the link here: https://stm.bookpi.org/NTPSR-V3/article/view/6832

Investagation of the Influence of the Form of Porous Insert in the Flow of a Viscous Liquid in a Plane Pipe| Chapter 5 | New Trends in Physical Science Research Vol.3

A viscous liquid (gas) flow in a flat pipe with a porous insert is investigated. A single equation based on multiphase media is used to represent viscous fluid flow in the combined area. The Navier-Stokes equations for the free zone follow from this equation, and we have an equation that generalises the Darcy equation in the area with a porous insert. The SIMPLE method is generalised for numerical solutions. The mesh is non-uniform. The Kozeny-Karman relations are used to determine the strength of interfacial contact. The impact of the bulk layer's geometric form on the kind and amount of flow velocity inhomogeneity beyond the barrier is demonstrated. The flow parameters are strongly affected by the geometry of a porous media. The numerical simulation findings are compared to experimental data.

Author(s) Details:

Umurdin Dalabaev,
University of World Economy and Diplomacy, 100077, Buyuk Ipak Yuli Street, 54, Tashkent, Uzbekistan.

Please see the link here: https://stm.bookpi.org/NTPSR-V3/article/view/6824