Open AccessNumerical Solution of Energy Equation in Porous Channels under Effects of Radiation Field
Author(s) -
Alaa Hammodat,
Osama T. Al-Bairaqdar,
Abida T. Hammodat
Publication year - 2021
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2021.62.10.20
Subject(s) - mechanics , heat transfer , thermal radiation , porous medium , partial differential equation , reynolds number , channel (broadcasting) , thermal conduction , finite difference method , finite difference , physics , thermal , convection , natural convection , mathematics , thermodynamics , porosity , mathematical analysis , materials science , computer science , computer network , turbulence , composite material
In this paper, we built a mathematical model for convection and thermal radiation heat transfer of fluid flowing through a vertical channel with porous medium under effects of horizontal magnetic field (MF) at the channel. This model represents a 2-dimensional system of non-linear partial differential equations. Then, we solved this system numerically by finite difference methods using Alternating Direction Implicit (ADI) Scheme in two phases (steady state and unsteady state). Moreover, we found the distribution and behaviour of the heat temperature inside the channel and studied the effects of Brinkman number, Reynolds number, and Boltzmann number on the heat temperature behaviour. We solved the system by building a computer program using MATLAB.