Scrutinization of Joule Heating and Viscous Dissipation on MHD Flow and Melting Heat Transfer Over a Stretching Sheet

The present paper deals with an analysis of the combined effect of Joule heating and viscous dissipation on an MHD boundary layer flow and melting heat transfer of a micro polar fluid over a stretching surface. Governing equations of the problem are transformed into a set of coupled nonlinear ordina...

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Main Authors: K.G. Kumar, B.J. Gireesha, S. Manjunatha
Format: Article
Language:English
Published: University of Zielona Góra 2018-05-01
Series:International Journal of Applied Mechanics and Engineering
Subjects:
Online Access:https://www.ijame-poland.com/Scrutinization-of-Joule-Heating-and-Viscous-Dissipation-on-MHD-Flow-and-Melting-Heat,166987,0,2.html
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author K.G. Kumar
B.J. Gireesha
S. Manjunatha
author_facet K.G. Kumar
B.J. Gireesha
S. Manjunatha
author_sort K.G. Kumar
collection DOAJ
description The present paper deals with an analysis of the combined effect of Joule heating and viscous dissipation on an MHD boundary layer flow and melting heat transfer of a micro polar fluid over a stretching surface. Governing equations of the problem are transformed into a set of coupled nonlinear ordinary differential equations by applying proper transformations and then they are solved numerically using the RKF-45 method. The method is verified by a comparison with the established results with limiting solution. The influence of the various interesting parameters on the flow and heat transfer is analyzed in detail through plotted graphs.
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spelling doaj.art-4fefe5c94a8d48bdac932c651b4635a42023-08-08T14:58:34ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032018-05-0123242943310.2478/ijame-2018-0025166987Scrutinization of Joule Heating and Viscous Dissipation on MHD Flow and Melting Heat Transfer Over a Stretching SheetK.G. Kumar0B.J. Gireesha1S. Manjunatha2Department of Studies and Research in Mathematics, Kuvempu University, Shankaraghatta-, 577 451, Shimoga, Karnataka, IndiaDepartment of Studies and Research in Mathematics, Kuvempu University, Shankaraghatta-, 577 451, Shimoga, Karnataka, IndiaDepartment of Engineering Mathematics, Faculty of Engineering, Christ University, Mysore Road, Bengaluru-, 560074, IndiaThe present paper deals with an analysis of the combined effect of Joule heating and viscous dissipation on an MHD boundary layer flow and melting heat transfer of a micro polar fluid over a stretching surface. Governing equations of the problem are transformed into a set of coupled nonlinear ordinary differential equations by applying proper transformations and then they are solved numerically using the RKF-45 method. The method is verified by a comparison with the established results with limiting solution. The influence of the various interesting parameters on the flow and heat transfer is analyzed in detail through plotted graphs.https://www.ijame-poland.com/Scrutinization-of-Joule-Heating-and-Viscous-Dissipation-on-MHD-Flow-and-Melting-Heat,166987,0,2.htmljoule heatingviscous dissipationstretching sheetmicro polar dusty fluidnumerical method
spellingShingle K.G. Kumar
B.J. Gireesha
S. Manjunatha
Scrutinization of Joule Heating and Viscous Dissipation on MHD Flow and Melting Heat Transfer Over a Stretching Sheet
International Journal of Applied Mechanics and Engineering
joule heating
viscous dissipation
stretching sheet
micro polar dusty fluid
numerical method
title Scrutinization of Joule Heating and Viscous Dissipation on MHD Flow and Melting Heat Transfer Over a Stretching Sheet
title_full Scrutinization of Joule Heating and Viscous Dissipation on MHD Flow and Melting Heat Transfer Over a Stretching Sheet
title_fullStr Scrutinization of Joule Heating and Viscous Dissipation on MHD Flow and Melting Heat Transfer Over a Stretching Sheet
title_full_unstemmed Scrutinization of Joule Heating and Viscous Dissipation on MHD Flow and Melting Heat Transfer Over a Stretching Sheet
title_short Scrutinization of Joule Heating and Viscous Dissipation on MHD Flow and Melting Heat Transfer Over a Stretching Sheet
title_sort scrutinization of joule heating and viscous dissipation on mhd flow and melting heat transfer over a stretching sheet
topic joule heating
viscous dissipation
stretching sheet
micro polar dusty fluid
numerical method
url https://www.ijame-poland.com/Scrutinization-of-Joule-Heating-and-Viscous-Dissipation-on-MHD-Flow-and-Melting-Heat,166987,0,2.html
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AT bjgireesha scrutinizationofjouleheatingandviscousdissipationonmhdflowandmeltingheattransferoverastretchingsheet
AT smanjunatha scrutinizationofjouleheatingandviscousdissipationonmhdflowandmeltingheattransferoverastretchingsheet