Slip effect on mixed convective flow and heat transfer of magnetized UCM fluid through a porous medium in consequence of novel heat flux model

This article intends to establish numerical solutions to MHD flow of Upper-Convected Maxwell (UCM) fluid in a porous medium caused by nonlinear stretching surface. The model deployed for this purpose is the updated Fourier’s heat conduction model. In addition, nonlinear velocity slip condition is im...

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Main Authors: S. Shah, S. Hussain
Format: Article
Language:English
Published: Elsevier 2021-01-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S221137972032163X
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author S. Shah
S. Hussain
author_facet S. Shah
S. Hussain
author_sort S. Shah
collection DOAJ
description This article intends to establish numerical solutions to MHD flow of Upper-Convected Maxwell (UCM) fluid in a porous medium caused by nonlinear stretching surface. The model deployed for this purpose is the updated Fourier’s heat conduction model. In addition, nonlinear velocity slip condition is imposed and investigated. Finally the mixed convective effects near stagnation point in a porous medium were thoroughly observed and researched upon. This article aims at examining the impacts of such noteworthy parameters as the ‘Maxwell’, ‘thermal relaxation’ and the ‘velocity slip’ on the flow and heat transfer by making use of graphs and tables. By making use of certain appropriate similarity transformations, the governing equations are stripped off of their dimensionless existence and then solved through the shooting technique numerically. A decrement in the velocity whereas an accretion in the temperature distribution is witnessed regarding the larger values of the Maxwell parameter. Moreover, a rise in heat transfer rate for an augmentation in the thermal relaxation parameter is identified.
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spelling doaj.art-f9600bcc42ac4cdda7d8914615c0bcec2022-12-21T22:48:59ZengElsevierResults in Physics2211-37972021-01-0120103749Slip effect on mixed convective flow and heat transfer of magnetized UCM fluid through a porous medium in consequence of novel heat flux modelS. Shah0S. Hussain1Department of Mathematics, National University of Modern Languages, Islamabad, Pakistan; Corresponding author.Institut fur Angewandte Mathematik (LS III), Technische Universitat, Dortmund, GermanyThis article intends to establish numerical solutions to MHD flow of Upper-Convected Maxwell (UCM) fluid in a porous medium caused by nonlinear stretching surface. The model deployed for this purpose is the updated Fourier’s heat conduction model. In addition, nonlinear velocity slip condition is imposed and investigated. Finally the mixed convective effects near stagnation point in a porous medium were thoroughly observed and researched upon. This article aims at examining the impacts of such noteworthy parameters as the ‘Maxwell’, ‘thermal relaxation’ and the ‘velocity slip’ on the flow and heat transfer by making use of graphs and tables. By making use of certain appropriate similarity transformations, the governing equations are stripped off of their dimensionless existence and then solved through the shooting technique numerically. A decrement in the velocity whereas an accretion in the temperature distribution is witnessed regarding the larger values of the Maxwell parameter. Moreover, a rise in heat transfer rate for an augmentation in the thermal relaxation parameter is identified.http://www.sciencedirect.com/science/article/pii/S221137972032163XUpper-Convected Maxwell fluidMHDPorous mediumModified Fourier’s heat conduction model
spellingShingle S. Shah
S. Hussain
Slip effect on mixed convective flow and heat transfer of magnetized UCM fluid through a porous medium in consequence of novel heat flux model
Results in Physics
Upper-Convected Maxwell fluid
MHD
Porous medium
Modified Fourier’s heat conduction model
title Slip effect on mixed convective flow and heat transfer of magnetized UCM fluid through a porous medium in consequence of novel heat flux model
title_full Slip effect on mixed convective flow and heat transfer of magnetized UCM fluid through a porous medium in consequence of novel heat flux model
title_fullStr Slip effect on mixed convective flow and heat transfer of magnetized UCM fluid through a porous medium in consequence of novel heat flux model
title_full_unstemmed Slip effect on mixed convective flow and heat transfer of magnetized UCM fluid through a porous medium in consequence of novel heat flux model
title_short Slip effect on mixed convective flow and heat transfer of magnetized UCM fluid through a porous medium in consequence of novel heat flux model
title_sort slip effect on mixed convective flow and heat transfer of magnetized ucm fluid through a porous medium in consequence of novel heat flux model
topic Upper-Convected Maxwell fluid
MHD
Porous medium
Modified Fourier’s heat conduction model
url http://www.sciencedirect.com/science/article/pii/S221137972032163X
work_keys_str_mv AT sshah slipeffectonmixedconvectiveflowandheattransferofmagnetizeducmfluidthroughaporousmediuminconsequenceofnovelheatfluxmodel
AT shussain slipeffectonmixedconvectiveflowandheattransferofmagnetizeducmfluidthroughaporousmediuminconsequenceofnovelheatfluxmodel