Unsteady Convective MHD Flow and Heat Transfer of a Viscous Nanofluid across a Porous Stretching/Shrinking Surface: Existence of Multiple Solutions

The suspension of tiny solid particles inside the energy transport liquids could enhance their thermal conductivity as well as provide an efficient and inventive approach to significantly improve their properties of heat transport. Therefore, our aim is to explore the radiative two-dimensional unste...

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Autores principales: Nawal A. Alshehri, Awatef Abidi, Muhammad Riaz Khan, Yanala Dharmendar Reddy, Saim Rasheed, Elham Alali, Ahmed M. Galal
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Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:54140ddd711b46d9bf6c6f013b1e24142021-11-25T17:18:51ZUnsteady Convective MHD Flow and Heat Transfer of a Viscous Nanofluid across a Porous Stretching/Shrinking Surface: Existence of Multiple Solutions10.3390/cryst111113592073-4352https://doaj.org/article/54140ddd711b46d9bf6c6f013b1e24142021-11-01T00:00:00Zhttps://www.mdpi.com/2073-4352/11/11/1359https://doaj.org/toc/2073-4352The suspension of tiny solid particles inside the energy transport liquids could enhance their thermal conductivity as well as provide an efficient and inventive approach to significantly improve their properties of heat transport. Therefore, our aim is to explore the radiative two-dimensional unsteady flow of a viscous nanofluid about an aligned magnetic field that includes the joint effect of suction, velocity slip, and heat source across a porous convective stretching/shrinking surface. Initially, using non-dimensional variables, the nonlinear governing partial differential equations (PDEs) were transformed into ordinary differential equations (ODEs) which were subsequently solved with the help of bvp4c built-in package in MATLAB. The results declare that escalating the values of the unsteadiness parameter escalates the friction drag whereas it reduces with the escalation of the slip parameter. Furthermore, the heat transfer rate escalates with the escalation of radiation and concentration parameter, and the escalation of the heat source parameter causes to reduce the heat transfer rate. Finally, it is found that the rate of heat transfer and friction drag continuously improve and decline against the rising rates of stretching, respectively.Nawal A. AlshehriAwatef AbidiMuhammad Riaz KhanYanala Dharmendar ReddySaim RasheedElham AlaliAhmed M. GalalMDPI AGarticlenanofluidheat sourceunsteady flowaligned magnetic fieldthermal radiationporous mediumCrystallographyQD901-999ENCrystals, Vol 11, Iss 1359, p 1359 (2021)
institution DOAJ
collection DOAJ
language EN
topic nanofluid
heat source
unsteady flow
aligned magnetic field
thermal radiation
porous medium
Crystallography
QD901-999
spellingShingle nanofluid
heat source
unsteady flow
aligned magnetic field
thermal radiation
porous medium
Crystallography
QD901-999
Nawal A. Alshehri
Awatef Abidi
Muhammad Riaz Khan
Yanala Dharmendar Reddy
Saim Rasheed
Elham Alali
Ahmed M. Galal
Unsteady Convective MHD Flow and Heat Transfer of a Viscous Nanofluid across a Porous Stretching/Shrinking Surface: Existence of Multiple Solutions
description The suspension of tiny solid particles inside the energy transport liquids could enhance their thermal conductivity as well as provide an efficient and inventive approach to significantly improve their properties of heat transport. Therefore, our aim is to explore the radiative two-dimensional unsteady flow of a viscous nanofluid about an aligned magnetic field that includes the joint effect of suction, velocity slip, and heat source across a porous convective stretching/shrinking surface. Initially, using non-dimensional variables, the nonlinear governing partial differential equations (PDEs) were transformed into ordinary differential equations (ODEs) which were subsequently solved with the help of bvp4c built-in package in MATLAB. The results declare that escalating the values of the unsteadiness parameter escalates the friction drag whereas it reduces with the escalation of the slip parameter. Furthermore, the heat transfer rate escalates with the escalation of radiation and concentration parameter, and the escalation of the heat source parameter causes to reduce the heat transfer rate. Finally, it is found that the rate of heat transfer and friction drag continuously improve and decline against the rising rates of stretching, respectively.
format article
author Nawal A. Alshehri
Awatef Abidi
Muhammad Riaz Khan
Yanala Dharmendar Reddy
Saim Rasheed
Elham Alali
Ahmed M. Galal
author_facet Nawal A. Alshehri
Awatef Abidi
Muhammad Riaz Khan
Yanala Dharmendar Reddy
Saim Rasheed
Elham Alali
Ahmed M. Galal
author_sort Nawal A. Alshehri
title Unsteady Convective MHD Flow and Heat Transfer of a Viscous Nanofluid across a Porous Stretching/Shrinking Surface: Existence of Multiple Solutions
title_short Unsteady Convective MHD Flow and Heat Transfer of a Viscous Nanofluid across a Porous Stretching/Shrinking Surface: Existence of Multiple Solutions
title_full Unsteady Convective MHD Flow and Heat Transfer of a Viscous Nanofluid across a Porous Stretching/Shrinking Surface: Existence of Multiple Solutions
title_fullStr Unsteady Convective MHD Flow and Heat Transfer of a Viscous Nanofluid across a Porous Stretching/Shrinking Surface: Existence of Multiple Solutions
title_full_unstemmed Unsteady Convective MHD Flow and Heat Transfer of a Viscous Nanofluid across a Porous Stretching/Shrinking Surface: Existence of Multiple Solutions
title_sort unsteady convective mhd flow and heat transfer of a viscous nanofluid across a porous stretching/shrinking surface: existence of multiple solutions
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/54140ddd711b46d9bf6c6f013b1e2414
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