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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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) |
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nanofluid heat source unsteady flow aligned magnetic field thermal radiation porous medium Crystallography QD901-999 |
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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 |
work_keys_str_mv |
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