Unsteady MHD natural convection flow of Casson fluid incorporating thermal radiative flux and heat injection/suction mechanism under variable wall conditions

Abstract Unsteady magnetohydrodynamic flow of Casson fluid over an infinite vertical plate is examined under ramped temperature and velocity conditions at the wall. Thermal radiation flux and heat injection/suction terms are also incorporated in the energy equation. The electrically conducting fluid...

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Autores principales: Talha Anwar, Poom Kumam, Wiboonsak Watthayu
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Lenguaje:EN
Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/c0eef6d58f2e47ca882d8990b5cfedd4
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spelling oai:doaj.org-article:c0eef6d58f2e47ca882d8990b5cfedd42021-12-02T14:03:56ZUnsteady MHD natural convection flow of Casson fluid incorporating thermal radiative flux and heat injection/suction mechanism under variable wall conditions10.1038/s41598-021-83691-22045-2322https://doaj.org/article/c0eef6d58f2e47ca882d8990b5cfedd42021-02-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-83691-2https://doaj.org/toc/2045-2322Abstract Unsteady magnetohydrodynamic flow of Casson fluid over an infinite vertical plate is examined under ramped temperature and velocity conditions at the wall. Thermal radiation flux and heat injection/suction terms are also incorporated in the energy equation. The electrically conducting fluid is flowing through a porous material and these phenomena are governed by partial differential equations. After employing some adequate dimensionless variables, the solutions are evaluated by dint of Laplace transform. In addition, the physical contribution of substantial parameters such as Grashof number, radiation parameter, heat injection/suction parameter, porosity parameter, Prandtl number, and magnetic parameter is appropriately elucidated with the aid of graphical and tabular illustrations. The expressions for skin friction and Nusselt number are also derived to observe wall shear stress and rate of heat transfer. A graphical comparison between solutions corresponding to ramped and constant conditions at the wall is also provided. It is observed that graphs of the solutions computed under constant conditions are always superior with respect to graphs of ramped conditions. The magnetic field decelerates the flow, whereas the radiative flux leads to an upsurge in the flow. Furthermore, the shear stress is a decreasing function of the magnetic parameter.Talha AnwarPoom KumamWiboonsak WatthayuNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-15 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Talha Anwar
Poom Kumam
Wiboonsak Watthayu
Unsteady MHD natural convection flow of Casson fluid incorporating thermal radiative flux and heat injection/suction mechanism under variable wall conditions
description Abstract Unsteady magnetohydrodynamic flow of Casson fluid over an infinite vertical plate is examined under ramped temperature and velocity conditions at the wall. Thermal radiation flux and heat injection/suction terms are also incorporated in the energy equation. The electrically conducting fluid is flowing through a porous material and these phenomena are governed by partial differential equations. After employing some adequate dimensionless variables, the solutions are evaluated by dint of Laplace transform. In addition, the physical contribution of substantial parameters such as Grashof number, radiation parameter, heat injection/suction parameter, porosity parameter, Prandtl number, and magnetic parameter is appropriately elucidated with the aid of graphical and tabular illustrations. The expressions for skin friction and Nusselt number are also derived to observe wall shear stress and rate of heat transfer. A graphical comparison between solutions corresponding to ramped and constant conditions at the wall is also provided. It is observed that graphs of the solutions computed under constant conditions are always superior with respect to graphs of ramped conditions. The magnetic field decelerates the flow, whereas the radiative flux leads to an upsurge in the flow. Furthermore, the shear stress is a decreasing function of the magnetic parameter.
format article
author Talha Anwar
Poom Kumam
Wiboonsak Watthayu
author_facet Talha Anwar
Poom Kumam
Wiboonsak Watthayu
author_sort Talha Anwar
title Unsteady MHD natural convection flow of Casson fluid incorporating thermal radiative flux and heat injection/suction mechanism under variable wall conditions
title_short Unsteady MHD natural convection flow of Casson fluid incorporating thermal radiative flux and heat injection/suction mechanism under variable wall conditions
title_full Unsteady MHD natural convection flow of Casson fluid incorporating thermal radiative flux and heat injection/suction mechanism under variable wall conditions
title_fullStr Unsteady MHD natural convection flow of Casson fluid incorporating thermal radiative flux and heat injection/suction mechanism under variable wall conditions
title_full_unstemmed Unsteady MHD natural convection flow of Casson fluid incorporating thermal radiative flux and heat injection/suction mechanism under variable wall conditions
title_sort unsteady mhd natural convection flow of casson fluid incorporating thermal radiative flux and heat injection/suction mechanism under variable wall conditions
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/c0eef6d58f2e47ca882d8990b5cfedd4
work_keys_str_mv AT talhaanwar unsteadymhdnaturalconvectionflowofcassonfluidincorporatingthermalradiativefluxandheatinjectionsuctionmechanismundervariablewallconditions
AT poomkumam unsteadymhdnaturalconvectionflowofcassonfluidincorporatingthermalradiativefluxandheatinjectionsuctionmechanismundervariablewallconditions
AT wiboonsakwatthayu unsteadymhdnaturalconvectionflowofcassonfluidincorporatingthermalradiativefluxandheatinjectionsuctionmechanismundervariablewallconditions
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