Dual solutions of forced convection flow along a stretching sheet with variable thickness in presence of free stream and magnetic field

The paper aims at studying forced convection in a viscous incompressible electrically conducting fluid along stretching sheet with variable thickness in the presence of variable free stream and magnetic field. The governing equations of flow and heat transfer are subjected to similarity transformati...

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Main Authors: Upendra Mishra, Gurminder Singh
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2017
Online Access:http://journalarticle.ukm.my/10688/
http://journalarticle.ukm.my/10688/1/20%20Upendra%20Mishra.pdf
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author Upendra Mishra,
Gurminder Singh,
author_facet Upendra Mishra,
Gurminder Singh,
author_sort Upendra Mishra,
building UKM Institutional Repository
collection Online Access
description The paper aims at studying forced convection in a viscous incompressible electrically conducting fluid along stretching sheet with variable thickness in the presence of variable free stream and magnetic field. The governing equations of flow and heat transfer are subjected to similarity transformation using boundary layer assumption and are then solved numerically. The system of equations possesses dual solutions for negative value of velocity power index (m). The impact of velocity parameter (λ) and other parameters on velocity and temperature distributions, skin friction and heat transfer are studied when system possesses dual solutions and is presented through graphs and discussed suitably. It is found that the first solution is in tune with natural physical phenomena. The second solution possesses very large skin-friction and fluid velocity as compared to the first solution. The second solution is stable and is a mere outcome of non-linearity and does not follow natural phenomena.
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spelling oai:generic.eprints.org:106882017-09-20T08:56:51Z http://journalarticle.ukm.my/10688/ Dual solutions of forced convection flow along a stretching sheet with variable thickness in presence of free stream and magnetic field Upendra Mishra, Gurminder Singh, The paper aims at studying forced convection in a viscous incompressible electrically conducting fluid along stretching sheet with variable thickness in the presence of variable free stream and magnetic field. The governing equations of flow and heat transfer are subjected to similarity transformation using boundary layer assumption and are then solved numerically. The system of equations possesses dual solutions for negative value of velocity power index (m). The impact of velocity parameter (λ) and other parameters on velocity and temperature distributions, skin friction and heat transfer are studied when system possesses dual solutions and is presented through graphs and discussed suitably. It is found that the first solution is in tune with natural physical phenomena. The second solution possesses very large skin-friction and fluid velocity as compared to the first solution. The second solution is stable and is a mere outcome of non-linearity and does not follow natural phenomena. Penerbit Universiti Kebangsaan Malaysia 2017-02 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/10688/1/20%20Upendra%20Mishra.pdf Upendra Mishra, and Gurminder Singh, (2017) Dual solutions of forced convection flow along a stretching sheet with variable thickness in presence of free stream and magnetic field. Sains Malaysiana, 46 (2). pp. 349-358. ISSN 0126-6039 http://www.ukm.my/jsm/english_journals/vol46num2_2017/contentsVol46num2_2017.html
spellingShingle Upendra Mishra,
Gurminder Singh,
Dual solutions of forced convection flow along a stretching sheet with variable thickness in presence of free stream and magnetic field
title Dual solutions of forced convection flow along a stretching sheet with variable thickness in presence of free stream and magnetic field
title_full Dual solutions of forced convection flow along a stretching sheet with variable thickness in presence of free stream and magnetic field
title_fullStr Dual solutions of forced convection flow along a stretching sheet with variable thickness in presence of free stream and magnetic field
title_full_unstemmed Dual solutions of forced convection flow along a stretching sheet with variable thickness in presence of free stream and magnetic field
title_short Dual solutions of forced convection flow along a stretching sheet with variable thickness in presence of free stream and magnetic field
title_sort dual solutions of forced convection flow along a stretching sheet with variable thickness in presence of free stream and magnetic field
url http://journalarticle.ukm.my/10688/
http://journalarticle.ukm.my/10688/
http://journalarticle.ukm.my/10688/1/20%20Upendra%20Mishra.pdf