On the study of flow between unsteady squeezing rotating discs with cross diffusion effects under the influence of variable magnetic field

The aim of this article is to provide an analytical and numerical investigation to the viscous fluid flow, heat and mass transfer under the influence of a variable magnetic field. The governing system of partial differential equations are transformed by means of similarity transformations to a syste...

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Main Authors: Rehan Ali Shah, Aamir Khan, Muhammad Shuaib
Format: Article
Language:English
Published: Elsevier 2018-11-01
Series:Heliyon
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2405844017338495
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spelling doaj-f97c46b01009495b8fc11d674d4d802e2020-11-25T03:27:14ZengElsevierHeliyon2405-84402018-11-01411e00925On the study of flow between unsteady squeezing rotating discs with cross diffusion effects under the influence of variable magnetic fieldRehan Ali Shah0Aamir Khan1Muhammad Shuaib2Department of Basic Sciences and Islamiat, University of Engineering and Technology Peshawar, KPK, PakistanCorresponding author.; Department of Basic Sciences and Islamiat, University of Engineering and Technology Peshawar, KPK, PakistanDepartment of Basic Sciences and Islamiat, University of Engineering and Technology Peshawar, KPK, PakistanThe aim of this article is to provide an analytical and numerical investigation to the viscous fluid flow, heat and mass transfer under the influence of a variable magnetic field. The governing system of partial differential equations are transformed by means of similarity transformations to a system of ordinary differential equations which are solved by Homotopy Analysis Method (HAM) and BVP4c. The effects of involved physical parameters are illustrated for the velocity components, magnetic field components, heat and mass transfers. Authentification of HAM results for various involved physical parameters are supported by comparison with numerical results obtained by BVP4c. It is observed that increasing distance between discs increase pressure on lower disc and torque on upper disc. It is also observed that increase in axial component of magnetic field increase fluid's axial velocity and increase in magnetic Reynold's number decrease magnetic flux it lower disc. Heat flux from lower to upper disc is increased by increase in Dufour number.http://www.sciencedirect.com/science/article/pii/S2405844017338495Applied mathematics
collection DOAJ
language English
format Article
sources DOAJ
author Rehan Ali Shah
Aamir Khan
Muhammad Shuaib
spellingShingle Rehan Ali Shah
Aamir Khan
Muhammad Shuaib
On the study of flow between unsteady squeezing rotating discs with cross diffusion effects under the influence of variable magnetic field
Heliyon
Applied mathematics
author_facet Rehan Ali Shah
Aamir Khan
Muhammad Shuaib
author_sort Rehan Ali Shah
title On the study of flow between unsteady squeezing rotating discs with cross diffusion effects under the influence of variable magnetic field
title_short On the study of flow between unsteady squeezing rotating discs with cross diffusion effects under the influence of variable magnetic field
title_full On the study of flow between unsteady squeezing rotating discs with cross diffusion effects under the influence of variable magnetic field
title_fullStr On the study of flow between unsteady squeezing rotating discs with cross diffusion effects under the influence of variable magnetic field
title_full_unstemmed On the study of flow between unsteady squeezing rotating discs with cross diffusion effects under the influence of variable magnetic field
title_sort on the study of flow between unsteady squeezing rotating discs with cross diffusion effects under the influence of variable magnetic field
publisher Elsevier
series Heliyon
issn 2405-8440
publishDate 2018-11-01
description The aim of this article is to provide an analytical and numerical investigation to the viscous fluid flow, heat and mass transfer under the influence of a variable magnetic field. The governing system of partial differential equations are transformed by means of similarity transformations to a system of ordinary differential equations which are solved by Homotopy Analysis Method (HAM) and BVP4c. The effects of involved physical parameters are illustrated for the velocity components, magnetic field components, heat and mass transfers. Authentification of HAM results for various involved physical parameters are supported by comparison with numerical results obtained by BVP4c. It is observed that increasing distance between discs increase pressure on lower disc and torque on upper disc. It is also observed that increase in axial component of magnetic field increase fluid's axial velocity and increase in magnetic Reynold's number decrease magnetic flux it lower disc. Heat flux from lower to upper disc is increased by increase in Dufour number.
topic Applied mathematics
url http://www.sciencedirect.com/science/article/pii/S2405844017338495
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