Generalized thermal investigation of unsteady MHD flow of Oldroyd-B fluid with slip effects and Newtonian heating; a Caputo-Fabrizio fractional model

Generalized thermal investigation of unsteady MHD flow of Oldroyd-B fluid with slip effects and Newtonian heating; a Caputo-Fabrizio fractional model

This article critically examines the influences of Newtonian heating and slip effects on unsteady magnetohydrodynamic (MHD) flow of an Oldroyd-B fluid near an infinitely long plate. The nonlinear thermal radiation influence is considered in normal direction to the vertical plate. A modern definition...

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Autores principales: Talha Anwar, Poom Kumam, Asifa, Phatiphat Thounthong, Shah Muhammad, Faisal Zaid Duraihem
Formato: article
Lenguaje:EN
Publicado: Elsevier 2022
Materias:
Newtonian heating
Caputo-Fabrizio fractional derivative
Laplace transform
Oldroyd-B fluid
Slip effect
MHD
Engineering (General). Civil engineering (General)
TA1-2040
Acceso en línea:https://doaj.org/article/e2ad8162549c4de0bb2c89546ccdaada
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spelling oai:doaj.org-article:e2ad8162549c4de0bb2c89546ccdaada2021-12-02T04:59:36ZGeneralized thermal investigation of unsteady MHD flow of Oldroyd-B fluid with slip effects and Newtonian heating; a Caputo-Fabrizio fractional model1110-016810.1016/j.aej.2021.06.090https://doaj.org/article/e2ad8162549c4de0bb2c89546ccdaada2022-03-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1110016821004531https://doaj.org/toc/1110-0168This article critically examines the influences of Newtonian heating and slip effects on unsteady magnetohydrodynamic (MHD) flow of an Oldroyd-B fluid near an infinitely long plate. The nonlinear thermal radiation influence is considered in normal direction to the vertical plate. A modern definition of Caputo-Fabrizio fractional derivative is applied to generalize the constitutive mass and energy equations. The Laplace transformation technique and Durbin’s numerical algorithm are served to develop the solutions of proposed problem. The solutions are determined for both fractional and ordinary cases and Stehfest’s and Zakian’s numerical algorithms are employed to secure the authenticity of these solutions. The relations for Nusselt number and skin friction coefficient are efficiently computed to precisely estimate the shear stress and rate of heat transfer at boundary. The respective numerical computations are accessible through tables. To comprehensively analyze the dynamics of the proposed problem, physical influence of various parameters is studied and repercussions are graphically highlighted and discussed. Furthermore, two limiting models named as second grade model and Maxwell model are deduced to compare the pertinent flow characteristics. A comparative analysis between fractional and classical models depicts that the Caputo-Fabrizio fractional model explains the memory effects more adequately.Talha AnwarPoom Kumam AsifaPhatiphat ThounthongShah MuhammadFaisal Zaid DuraihemElsevierarticleNewtonian heatingCaputo-Fabrizio fractional derivativeLaplace transformOldroyd-B fluidSlip effectMHDEngineering (General). Civil engineering (General)TA1-2040ENAlexandria Engineering Journal, Vol 61, Iss 3, Pp 2188-2202 (2022)
institution DOAJ
collection DOAJ
language EN
topic Newtonian heating
Caputo-Fabrizio fractional derivative
Laplace transform
Oldroyd-B fluid
Slip effect
MHD
Engineering (General). Civil engineering (General)
TA1-2040
spellingShingle Newtonian heating
Caputo-Fabrizio fractional derivative
Laplace transform
Oldroyd-B fluid
Slip effect
MHD
Engineering (General). Civil engineering (General)
TA1-2040
Talha Anwar
Poom Kumam
Asifa
Phatiphat Thounthong
Shah Muhammad
Faisal Zaid Duraihem
Generalized thermal investigation of unsteady MHD flow of Oldroyd-B fluid with slip effects and Newtonian heating; a Caputo-Fabrizio fractional model
description This article critically examines the influences of Newtonian heating and slip effects on unsteady magnetohydrodynamic (MHD) flow of an Oldroyd-B fluid near an infinitely long plate. The nonlinear thermal radiation influence is considered in normal direction to the vertical plate. A modern definition of Caputo-Fabrizio fractional derivative is applied to generalize the constitutive mass and energy equations. The Laplace transformation technique and Durbin’s numerical algorithm are served to develop the solutions of proposed problem. The solutions are determined for both fractional and ordinary cases and Stehfest’s and Zakian’s numerical algorithms are employed to secure the authenticity of these solutions. The relations for Nusselt number and skin friction coefficient are efficiently computed to precisely estimate the shear stress and rate of heat transfer at boundary. The respective numerical computations are accessible through tables. To comprehensively analyze the dynamics of the proposed problem, physical influence of various parameters is studied and repercussions are graphically highlighted and discussed. Furthermore, two limiting models named as second grade model and Maxwell model are deduced to compare the pertinent flow characteristics. A comparative analysis between fractional and classical models depicts that the Caputo-Fabrizio fractional model explains the memory effects more adequately.
format article
author Talha Anwar
Poom Kumam
Asifa
Phatiphat Thounthong
Shah Muhammad
Faisal Zaid Duraihem
author_facet Talha Anwar
Poom Kumam
Asifa
Phatiphat Thounthong
Shah Muhammad
Faisal Zaid Duraihem
author_sort Talha Anwar
title Generalized thermal investigation of unsteady MHD flow of Oldroyd-B fluid with slip effects and Newtonian heating; a Caputo-Fabrizio fractional model
title_short Generalized thermal investigation of unsteady MHD flow of Oldroyd-B fluid with slip effects and Newtonian heating; a Caputo-Fabrizio fractional model
title_full Generalized thermal investigation of unsteady MHD flow of Oldroyd-B fluid with slip effects and Newtonian heating; a Caputo-Fabrizio fractional model
title_fullStr Generalized thermal investigation of unsteady MHD flow of Oldroyd-B fluid with slip effects and Newtonian heating; a Caputo-Fabrizio fractional model
title_full_unstemmed Generalized thermal investigation of unsteady MHD flow of Oldroyd-B fluid with slip effects and Newtonian heating; a Caputo-Fabrizio fractional model
title_sort generalized thermal investigation of unsteady mhd flow of oldroyd-b fluid with slip effects and newtonian heating; a caputo-fabrizio fractional model
publisher Elsevier
publishDate 2022
url https://doaj.org/article/e2ad8162549c4de0bb2c89546ccdaada
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