Heat transfer analysis in MHD flow of casson fluid over a vertical plate embedded in a porous medium with arbitrary wall shear stress

Heat transfer analysis in unsteady MHD flow of Casson fluid over a vertical plate is analyzed. The plate with arbitrary wall shear and constant temperature is embedded in a porous medium. The problem is modeled in terms of partial differential equations with some physical conditions. Due to an incre...

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Main Authors: Khan, Arshad, Khan, Ilyas, Khan, Asim, Shafie, Sharidan
Format: Article
Published: Begell House, Inc. 2018
Subjects:
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author Khan, Arshad
Khan, Ilyas
Khan, Asim
Shafie, Sharidan
author_facet Khan, Arshad
Khan, Ilyas
Khan, Asim
Shafie, Sharidan
author_sort Khan, Arshad
collection ePrints
description Heat transfer analysis in unsteady MHD flow of Casson fluid over a vertical plate is analyzed. The plate with arbitrary wall shear and constant temperature is embedded in a porous medium. The problem is modeled in terms of partial differential equations with some physical conditions. Due to an increasing Casson parameter the velocity rises near the plate whereas it decreases far from the plate. This problem accepts exact solutions, which are obtained using the Laplace transform technique. These solutions are expressed in terms of exponential functions and complementary error functions of Gauss. Some limiting solutions are also deduced. The velocity of fluid is found to decrease with increasing constant wall shear stress and decreases with increasing magnetic parameter. Graphical results are plotted and discussed for embedded parameters.
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spelling utm.eprints-854822020-06-30T08:45:57Z http://eprints.utm.my/85482/ Heat transfer analysis in MHD flow of casson fluid over a vertical plate embedded in a porous medium with arbitrary wall shear stress Khan, Arshad Khan, Ilyas Khan, Asim Shafie, Sharidan QA Mathematics Heat transfer analysis in unsteady MHD flow of Casson fluid over a vertical plate is analyzed. The plate with arbitrary wall shear and constant temperature is embedded in a porous medium. The problem is modeled in terms of partial differential equations with some physical conditions. Due to an increasing Casson parameter the velocity rises near the plate whereas it decreases far from the plate. This problem accepts exact solutions, which are obtained using the Laplace transform technique. These solutions are expressed in terms of exponential functions and complementary error functions of Gauss. Some limiting solutions are also deduced. The velocity of fluid is found to decrease with increasing constant wall shear stress and decreases with increasing magnetic parameter. Graphical results are plotted and discussed for embedded parameters. Begell House, Inc. 2018 Article PeerReviewed Khan, Arshad and Khan, Ilyas and Khan, Asim and Shafie, Sharidan (2018) Heat transfer analysis in MHD flow of casson fluid over a vertical plate embedded in a porous medium with arbitrary wall shear stress. Journal of Porous Media, 21 (8). pp. 739-748. ISSN 1091-028X http://dx.doi.org/10.1615/JPorMedia.2018018872 DOI:10.1615/JPorMedia.2018018872
spellingShingle QA Mathematics
Khan, Arshad
Khan, Ilyas
Khan, Asim
Shafie, Sharidan
Heat transfer analysis in MHD flow of casson fluid over a vertical plate embedded in a porous medium with arbitrary wall shear stress
title Heat transfer analysis in MHD flow of casson fluid over a vertical plate embedded in a porous medium with arbitrary wall shear stress
title_full Heat transfer analysis in MHD flow of casson fluid over a vertical plate embedded in a porous medium with arbitrary wall shear stress
title_fullStr Heat transfer analysis in MHD flow of casson fluid over a vertical plate embedded in a porous medium with arbitrary wall shear stress
title_full_unstemmed Heat transfer analysis in MHD flow of casson fluid over a vertical plate embedded in a porous medium with arbitrary wall shear stress
title_short Heat transfer analysis in MHD flow of casson fluid over a vertical plate embedded in a porous medium with arbitrary wall shear stress
title_sort heat transfer analysis in mhd flow of casson fluid over a vertical plate embedded in a porous medium with arbitrary wall shear stress
topic QA Mathematics
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AT khanasim heattransferanalysisinmhdflowofcassonfluidoveraverticalplateembeddedinaporousmediumwitharbitrarywallshearstress
AT shafiesharidan heattransferanalysisinmhdflowofcassonfluidoveraverticalplateembeddedinaporousmediumwitharbitrarywallshearstress