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Research Paper | Mathematics | India | Volume 12 Issue 10, October 2023

Dispersion of a Chemically Reacting Solute in a Three - Dimensional Newtonian Fluid Flow Through a Darcy - Brinkman Porous Medium

Srihari M Subodha | S Manjunath | N P Chandrashekara

Abstract: In this paper, the dispersion of a chemically active solute in a sparsely packed porous medium is studied. The aim of this work is to study the effects permeability of the porous medium and a homogeneous chemical reaction on the dispersion coefficient. A mathematical model is obtained using the Gill - Sankarasubramanian (1970) approach for the three-dimensional flow of a Newtonian liquid. The velocity profile is obtained using Darcy - Brinkmann momentum equation. The effect of the chem- ical reaction rate parameter on the convection coefficient and dispersion coefficient is discussed. The mean concentration distribution is also computed for various values of the Darcy number and reaction rate parameter and the results are represented graphically. This problem finds its applications in the fields of waste water management, chemical engineering, and biomechanical problems.

Keywords: Dispersion, Newtonian liquid, Chemical reaction, Porous Medium, Darcy number, Brinkman number

Edition: Volume 12 Issue 10, October 2023,

Pages: 722 - 737