Analytical and numerical solution of viscous fluid flow with the effects of thermal radiation and chemical reaction past a vertical porous surface

Partha Protim Gharami, Shikdar M. Arifuzzaman, Sheikh Reza-E-Rabbi, Mohammad Shakhaoath Khan, Sarder Firoz Ahmmed

Research output: Contribution to journalArticleResearchpeer-review

Abstract

Magnetohydrodynamic (MHD) unsteady flow of incompressible, electrically conducting, and viscous fluid passing through a vertical porous plate is explored in this investigation where the impact of thermal radiation and chemical reaction are presented. A nonlinear two-dimensional unsteady flow model is created to decompose heat and mass transfer of this fluid, which is shaped by taking appropriate boundary conditions. The governing equations are solved analytically with satisfactory boundary conditions by using a two-term perturbation technique. The analytical outcomes are illustrated graphically by using MATHEMATICA 7.0. The fundamental equations are also solved numerically by utilizing explicit finite difference methodology (EFDM) with the help of Compaq Visual Fortran 6.6a. The numerical arrangement is also depicted graphically to examine the outcomes. The acquired pertinent parameters are analysed conveniently, including thermal Grashof number, thermal radiation parameter, and chemical reaction parameter, the permeability of the porous medium, magnetic parameter, Prandtl number, modified Grashof number, and Schmidt number. It is observed from our experiment that the velocity and concentric profiles decline when the reaction rate between the molecules is high. Furthermore, a suitable validation has been done with the previously published articles, and a favorable agreement is observed.

Original languageEnglish
Pages (from-to)689-700
Number of pages12
JournalInternational Journal of Heat and Technology
Volume38
Issue number3
DOIs
Publication statusPublished - 15 Oct 2020

Keywords

  • Chemical reaction
  • EFDM
  • Nanoparticles
  • Permeability
  • Perturbation
  • Radiation absorption
  • Stability and convergence test
  • Thermal radiation

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