Viscous dissipation effect on free convection flow past a semi-infinite flat plate in the presence of magnetic field
type: Item
instance of: scholarly article
zbMATH Open document ID: 1354.80006
author: Anselm O. Oyem
publication date: 2016-10-27T00:00:00Z
Mathematics Subject Classification ID: 80A20
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 76W05
Mathematics Subject Classification ID: 76A05
Mathematics Subject Classification ID: 76B10
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L10
zbMATH DE Number: 6645005
zbMATH Keywords: heat transfer
zbMATH Keywords: magnetic effect
zbMATH Keywords: Nusselt number
zbMATH Keywords: Sherwood number
zbMATH Keywords: ODE system
zbMATH Keywords: numerical resolution
zbMATH Keywords: parameter influence
describes a project that uses: Maple
MaRDI profile type: Publication
title: Viscous dissipation effect on free convection flow past a semi-infinite flat plate in the presence of magnetic field
published in: Theoretical Mathematics and Applications
review text: The author analyzes the influence of different parameters on the solution to a 2D incompressible free convection flow past a continuously moving semi-infinite flat plate with magnetic field. Writing the continuity, momentum, energy and concentration balance equations and introducing a stream function and dimensionless variables, he ends with the system of ODEs \(f^{\prime \prime \prime }+\frac{1}{2}ff^{\prime \prime }+\mathrm{Gr}\theta -\mathrm{Mf}^{\prime }=0\), \(\theta ^{\prime \prime }+\frac{1}{2}\mathrm{Pr}\theta ^{\prime }+\mathrm{PrEc}(f^{\prime \prime })^{2}=0\), \(\phi ^{\prime \prime }+\frac{1}{2}\mathrm{Sc}\phi f^{\prime }=0\), with respect to a parameter \(\eta\), where \(f^{\prime }\) (resp. \(\theta ,\phi \)) is the velocity profile (resp. temperature and concentration). Initial and boundary conditions are imposed at \(\eta =0\) and \(\eta =\infty \). Here \(\mathrm{Gr}\) and \(M\) are the viscous dissipation and local magnetic field parameters and Pr, Ec and Sc are Prandtl, Eckert and Schmitt numbers. The author also introduces the Nusselt and Sherwood numbers. This system is solved using a Runge-Kutta fourth-order scheme and the shooting method in the Maple software and the author presents the results of the numerical simulations for different values of the above-indicated parameters or numbers.
reviewed by: Alain Brillard
description: scientific article; zbMATH DE number 6645005