Group theoretical analysis for unsteady magnetohydrodynamics flow and radiative heat transfer of power-law nanofluid subject to Navier's slip conditions.

The present work covers the flow and heat transfer model for the Power-law nanofluid in the presence of a porous medium over a penetrable plate. The flow is caused by the impulsive movement of the plate embedded in Darcy's porous medium. The flow and heat transfer models are examined with the e...

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Autores principales:	Saba Javaid, Asim Aziz, Taha Aziz
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/14e19fd0f2cd4b2e828c4d52b8b37f26
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spelling	oai:doaj.org-article:14e19fd0f2cd4b2e828c4d52b8b37f262021-12-02T20:17:10ZGroup theoretical analysis for unsteady magnetohydrodynamics flow and radiative heat transfer of power-law nanofluid subject to Navier's slip conditions.1932-620310.1371/journal.pone.0258107https://doaj.org/article/14e19fd0f2cd4b2e828c4d52b8b37f262021-01-01T00:00:00Zhttps://doi.org/10.1371/journal.pone.0258107https://doaj.org/toc/1932-6203The present work covers the flow and heat transfer model for the Power-law nanofluid in the presence of a porous medium over a penetrable plate. The flow is caused by the impulsive movement of the plate embedded in Darcy's porous medium. The flow and heat transfer models are examined with the effect of linear thermal radiation in the flow regime. The Rosseland approximation is utilized for the optically thick nanofluid. The governing partial differential equations are solved using Lie symmetry analysis to find the reductions and invariants for the closed-form solutions. These invariants are then utilized to obtain the exact solutions for the shear-thinning, Newtonian, and shear-thickening nanofluids. In the end, all solutions are plotted for the Cu-water nanofluid to observe the effect of different emerging flow and heat transfer parameters.Saba JavaidAsim AzizTaha AzizPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 16, Iss 10, p e0258107 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Saba Javaid Asim Aziz Taha Aziz Group theoretical analysis for unsteady magnetohydrodynamics flow and radiative heat transfer of power-law nanofluid subject to Navier's slip conditions.
description	The present work covers the flow and heat transfer model for the Power-law nanofluid in the presence of a porous medium over a penetrable plate. The flow is caused by the impulsive movement of the plate embedded in Darcy's porous medium. The flow and heat transfer models are examined with the effect of linear thermal radiation in the flow regime. The Rosseland approximation is utilized for the optically thick nanofluid. The governing partial differential equations are solved using Lie symmetry analysis to find the reductions and invariants for the closed-form solutions. These invariants are then utilized to obtain the exact solutions for the shear-thinning, Newtonian, and shear-thickening nanofluids. In the end, all solutions are plotted for the Cu-water nanofluid to observe the effect of different emerging flow and heat transfer parameters.
format	article
author	Saba Javaid Asim Aziz Taha Aziz
author_facet	Saba Javaid Asim Aziz Taha Aziz
author_sort	Saba Javaid
title	Group theoretical analysis for unsteady magnetohydrodynamics flow and radiative heat transfer of power-law nanofluid subject to Navier's slip conditions.
title_short	Group theoretical analysis for unsteady magnetohydrodynamics flow and radiative heat transfer of power-law nanofluid subject to Navier's slip conditions.
title_full	Group theoretical analysis for unsteady magnetohydrodynamics flow and radiative heat transfer of power-law nanofluid subject to Navier's slip conditions.
title_fullStr	Group theoretical analysis for unsteady magnetohydrodynamics flow and radiative heat transfer of power-law nanofluid subject to Navier's slip conditions.
title_full_unstemmed	Group theoretical analysis for unsteady magnetohydrodynamics flow and radiative heat transfer of power-law nanofluid subject to Navier's slip conditions.
title_sort	group theoretical analysis for unsteady magnetohydrodynamics flow and radiative heat transfer of power-law nanofluid subject to navier's slip conditions.
publisher	Public Library of Science (PLoS)
publishDate	2021
url	https://doaj.org/article/14e19fd0f2cd4b2e828c4d52b8b37f26
work_keys_str_mv	AT sabajavaid grouptheoreticalanalysisforunsteadymagnetohydrodynamicsflowandradiativeheattransferofpowerlawnanofluidsubjecttonaviersslipconditions AT asimaziz grouptheoreticalanalysisforunsteadymagnetohydrodynamicsflowandradiativeheattransferofpowerlawnanofluidsubjecttonaviersslipconditions AT tahaaziz grouptheoreticalanalysisforunsteadymagnetohydrodynamicsflowandradiativeheattransferofpowerlawnanofluidsubjecttonaviersslipconditions
_version_	1718374390997975040

Group theoretical analysis for unsteady magnetohydrodynamics flow and radiative heat transfer of power-law nanofluid subject to Navier's slip conditions.

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