Influence of Ramped Wall Temperature and Ramped Wall Velocity on Unsteady Magnetohydrodynamic Convective Maxwell Fluid Flow

This article provides a comprehensive analysis regarding effects of ramped wall temperature and ramped wall velocity on incompressible time-dependent magnetohydrodynamic flow of Maxwell fluid. The flow is due to free convection and bounded to an infinite vertical plate embedded in porous medium. Sol...

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Main Authors: Talha Anwar, Poom Kumam, Wiboonsak Watthayu, Asifa
Format: Article
Language:English
Published: MDPI AG 2020-03-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/3/392
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author Talha Anwar
Poom Kumam
Wiboonsak Watthayu
Asifa
author_facet Talha Anwar
Poom Kumam
Wiboonsak Watthayu
Asifa
author_sort Talha Anwar
collection DOAJ
description This article provides a comprehensive analysis regarding effects of ramped wall temperature and ramped wall velocity on incompressible time-dependent magnetohydrodynamic flow of Maxwell fluid. The flow is due to free convection and bounded to an infinite vertical plate embedded in porous medium. Solutions of mass, shear stress, and energy fields are computed symmetrically by introducing some suitable non-dimensional parameters along with the Laplace transformation technique. The expression for the Nusselt number is also calculated. A comparison between solutions incorporating isothermal temperature and ramped wall temperature conditions is also executed to examine the profile differences. A graphical study is performed to highlight the influence of parameters on mass flow and energy transfer.
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spelling doaj.art-e40a5a617a74457bb91c7dc3c3053dbe2022-12-22T04:25:02ZengMDPI AGSymmetry2073-89942020-03-0112339210.3390/sym12030392sym12030392Influence of Ramped Wall Temperature and Ramped Wall Velocity on Unsteady Magnetohydrodynamic Convective Maxwell Fluid FlowTalha Anwar0Poom Kumam1Wiboonsak Watthayu2Asifa3Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, ThailandKMUTT Fixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok 10140, ThailandDepartment of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, ThailandDepartment of Mathematics, COMSATS University Islamabad, Park Road Chak Shahzad, Islamabad 44000, PakistanThis article provides a comprehensive analysis regarding effects of ramped wall temperature and ramped wall velocity on incompressible time-dependent magnetohydrodynamic flow of Maxwell fluid. The flow is due to free convection and bounded to an infinite vertical plate embedded in porous medium. Solutions of mass, shear stress, and energy fields are computed symmetrically by introducing some suitable non-dimensional parameters along with the Laplace transformation technique. The expression for the Nusselt number is also calculated. A comparison between solutions incorporating isothermal temperature and ramped wall temperature conditions is also executed to examine the profile differences. A graphical study is performed to highlight the influence of parameters on mass flow and energy transfer.https://www.mdpi.com/2073-8994/12/3/392maxwell fluidlaplace transformationramped wallporous material
spellingShingle Talha Anwar
Poom Kumam
Wiboonsak Watthayu
Asifa
Influence of Ramped Wall Temperature and Ramped Wall Velocity on Unsteady Magnetohydrodynamic Convective Maxwell Fluid Flow
Symmetry
maxwell fluid
laplace transformation
ramped wall
porous material
title Influence of Ramped Wall Temperature and Ramped Wall Velocity on Unsteady Magnetohydrodynamic Convective Maxwell Fluid Flow
title_full Influence of Ramped Wall Temperature and Ramped Wall Velocity on Unsteady Magnetohydrodynamic Convective Maxwell Fluid Flow
title_fullStr Influence of Ramped Wall Temperature and Ramped Wall Velocity on Unsteady Magnetohydrodynamic Convective Maxwell Fluid Flow
title_full_unstemmed Influence of Ramped Wall Temperature and Ramped Wall Velocity on Unsteady Magnetohydrodynamic Convective Maxwell Fluid Flow
title_short Influence of Ramped Wall Temperature and Ramped Wall Velocity on Unsteady Magnetohydrodynamic Convective Maxwell Fluid Flow
title_sort influence of ramped wall temperature and ramped wall velocity on unsteady magnetohydrodynamic convective maxwell fluid flow
topic maxwell fluid
laplace transformation
ramped wall
porous material
url https://www.mdpi.com/2073-8994/12/3/392
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AT poomkumam influenceoframpedwalltemperatureandrampedwallvelocityonunsteadymagnetohydrodynamicconvectivemaxwellfluidflow
AT wiboonsakwatthayu influenceoframpedwalltemperatureandrampedwallvelocityonunsteadymagnetohydrodynamicconvectivemaxwellfluidflow
AT asifa influenceoframpedwalltemperatureandrampedwallvelocityonunsteadymagnetohydrodynamicconvectivemaxwellfluidflow