Electrically Conducting Flow through Exponential Power Law Fluid with Variable Thermal Conductivity

The problem of exponential law of steady, incompressible fluid flow in boundary layer and heat transfer are studied in an electrically conducting fluid over a semi-infinite vertical plate assuming the variable thermal conductivity in the presence of a uniform magnetic field. The governing system of...

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Main Authors: M. Ferdows, M.Z.I. Bangalee, D. Liu
Format: Article
Language:English
Published: University of Zielona Góra 2019-08-01
Series:International Journal of Applied Mechanics and Engineering
Subjects:
Online Access:https://www.ijame-poland.com/Electrically-Conducting-Flow-through-Exponential-Power-Law-Fluid-with-Variable-Thermal,166904,0,2.html
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author M. Ferdows
M.Z.I. Bangalee
D. Liu
author_facet M. Ferdows
M.Z.I. Bangalee
D. Liu
author_sort M. Ferdows
collection DOAJ
description The problem of exponential law of steady, incompressible fluid flow in boundary layer and heat transfer are studied in an electrically conducting fluid over a semi-infinite vertical plate assuming the variable thermal conductivity in the presence of a uniform magnetic field. The governing system of equations including the continuity equation, momentum equation and energy equation have been transformed into nonlinear coupled ordinary differential equations using appropriate similarity variables. All the numerical and graphical solutions are obtained through the use of Maple software. The solutions are found to be dependent on three dimensionless parameters including the magnetic field parameter M , thermal conductivity parameter β and Prandtl number Pr. Representative velocity and temperature profiles are presented at various values of the governing parameters. The skin-friction coefficient and the rate of heat transfer are also calculated for different values of the parameters.
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spelling doaj.art-36cb5692b9544a25bece4815104b11812023-08-08T15:01:27ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032019-08-0124353954810.2478/ijame-2019-0034166904Electrically Conducting Flow through Exponential Power Law Fluid with Variable Thermal ConductivityM. Ferdows0M.Z.I. Bangalee1D. Liu2Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka-1000, BangladeshResearch Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka-1000, BangladeshCollege of Engineering and Science, Louisiana Tech University, Ruston, Louisiana, 71272, USAThe problem of exponential law of steady, incompressible fluid flow in boundary layer and heat transfer are studied in an electrically conducting fluid over a semi-infinite vertical plate assuming the variable thermal conductivity in the presence of a uniform magnetic field. The governing system of equations including the continuity equation, momentum equation and energy equation have been transformed into nonlinear coupled ordinary differential equations using appropriate similarity variables. All the numerical and graphical solutions are obtained through the use of Maple software. The solutions are found to be dependent on three dimensionless parameters including the magnetic field parameter M , thermal conductivity parameter β and Prandtl number Pr. Representative velocity and temperature profiles are presented at various values of the governing parameters. The skin-friction coefficient and the rate of heat transfer are also calculated for different values of the parameters.https://www.ijame-poland.com/Electrically-Conducting-Flow-through-Exponential-Power-Law-Fluid-with-Variable-Thermal,166904,0,2.htmlmhdsimilarity solutionvariable propertiesboundary layer flowexponential law
spellingShingle M. Ferdows
M.Z.I. Bangalee
D. Liu
Electrically Conducting Flow through Exponential Power Law Fluid with Variable Thermal Conductivity
International Journal of Applied Mechanics and Engineering
mhd
similarity solution
variable properties
boundary layer flow
exponential law
title Electrically Conducting Flow through Exponential Power Law Fluid with Variable Thermal Conductivity
title_full Electrically Conducting Flow through Exponential Power Law Fluid with Variable Thermal Conductivity
title_fullStr Electrically Conducting Flow through Exponential Power Law Fluid with Variable Thermal Conductivity
title_full_unstemmed Electrically Conducting Flow through Exponential Power Law Fluid with Variable Thermal Conductivity
title_short Electrically Conducting Flow through Exponential Power Law Fluid with Variable Thermal Conductivity
title_sort electrically conducting flow through exponential power law fluid with variable thermal conductivity
topic mhd
similarity solution
variable properties
boundary layer flow
exponential law
url https://www.ijame-poland.com/Electrically-Conducting-Flow-through-Exponential-Power-Law-Fluid-with-Variable-Thermal,166904,0,2.html
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AT mzibangalee electricallyconductingflowthroughexponentialpowerlawfluidwithvariablethermalconductivity
AT dliu electricallyconductingflowthroughexponentialpowerlawfluidwithvariablethermalconductivity