Interaction of Magnetic Field and Nonlinear Convection in the Stagnation Point Flow over a Shrinking Sheet

Interaction of Magnetic Field and Nonlinear Convection in the Stagnation Point Flow over a Shrinking Sheet

The steady two-dimensional boundary layer stagnation point flow due to a shrinking sheet is analyzed. The combined effects of magnetic field and nonlinear convection are taken into account. The governing equations for the flow are modeled and then simplified using the similarity transformation and b...

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Main Authors: Rakesh Kumar, Shilpa Sood
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Engineering
Online Access:http://dx.doi.org/10.1155/2016/6752520
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spelling doaj-9a690c56f4e5463099497860b3ec53862020-11-24T23:03:22ZengHindawi LimitedJournal of Engineering2314-49042314-49122016-01-01201610.1155/2016/67525206752520Interaction of Magnetic Field and Nonlinear Convection in the Stagnation Point Flow over a Shrinking SheetRakesh Kumar0Shilpa Sood1Department of Mathematics, Central University of Himachal Pradesh, TAB, Shahpur, Kangra, Himachal Pradesh 176206, IndiaDepartment of Mathematics, Central University of Himachal Pradesh, TAB, Shahpur, Kangra, Himachal Pradesh 176206, IndiaThe steady two-dimensional boundary layer stagnation point flow due to a shrinking sheet is analyzed. The combined effects of magnetic field and nonlinear convection are taken into account. The governing equations for the flow are modeled and then simplified using the similarity transformation and boundary layer approach. The numerical solution of the reduced equations is obtained by the second-order finite difference scheme also known as Keller box method. The influence of the pertinent parameters of the problem on velocity and temperature profiles, skin friction, and sheet temperature gradient are presented through the graphs and tables and discussed. The magnetic field and nonlinear convection parameters significantly enhance the solution range.http://dx.doi.org/10.1155/2016/6752520
collection DOAJ
language English
format Article
sources DOAJ
author Rakesh Kumar
Shilpa Sood
spellingShingle Rakesh Kumar
Shilpa Sood
Interaction of Magnetic Field and Nonlinear Convection in the Stagnation Point Flow over a Shrinking Sheet
Journal of Engineering
author_facet Rakesh Kumar
Shilpa Sood
author_sort Rakesh Kumar
title Interaction of Magnetic Field and Nonlinear Convection in the Stagnation Point Flow over a Shrinking Sheet
title_short Interaction of Magnetic Field and Nonlinear Convection in the Stagnation Point Flow over a Shrinking Sheet
title_full Interaction of Magnetic Field and Nonlinear Convection in the Stagnation Point Flow over a Shrinking Sheet
title_fullStr Interaction of Magnetic Field and Nonlinear Convection in the Stagnation Point Flow over a Shrinking Sheet
title_full_unstemmed Interaction of Magnetic Field and Nonlinear Convection in the Stagnation Point Flow over a Shrinking Sheet
title_sort interaction of magnetic field and nonlinear convection in the stagnation point flow over a shrinking sheet
publisher Hindawi Limited
series Journal of Engineering
issn 2314-4904
2314-4912
publishDate 2016-01-01
description The steady two-dimensional boundary layer stagnation point flow due to a shrinking sheet is analyzed. The combined effects of magnetic field and nonlinear convection are taken into account. The governing equations for the flow are modeled and then simplified using the similarity transformation and boundary layer approach. The numerical solution of the reduced equations is obtained by the second-order finite difference scheme also known as Keller box method. The influence of the pertinent parameters of the problem on velocity and temperature profiles, skin friction, and sheet temperature gradient are presented through the graphs and tables and discussed. The magnetic field and nonlinear convection parameters significantly enhance the solution range.
url http://dx.doi.org/10.1155/2016/6752520
work_keys_str_mv AT rakeshkumar interactionofmagneticfieldandnonlinearconvectioninthestagnationpointflowoverashrinkingsheet
AT shilpasood interactionofmagneticfieldandnonlinearconvectioninthestagnationpointflowoverashrinkingsheet
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