Dual solutions of Non-Newtonian Casson fluid flow and heat transfer over an exponentially permeable shrinking sheet with viscous dissipation
The two-dimensional boundary layer flow of a non-Newtonian Casson fluid and heat transfer due to an exponentially permeable shrinking sheet with viscous dissipation is investigated. Using similarity transformations, the governing momentum and energy equations are transformed to self-similar nonlinea...
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my.utm.692392017-11-22T00:45:16Z http://eprints.utm.my/id/eprint/69239/ Dual solutions of Non-Newtonian Casson fluid flow and heat transfer over an exponentially permeable shrinking sheet with viscous dissipation Zaib, Aurang Bhattacharyya, Krishnendu Uddin, Md. Sharif Shafie, Sharidan QA Mathematics The two-dimensional boundary layer flow of a non-Newtonian Casson fluid and heat transfer due to an exponentially permeable shrinking sheet with viscous dissipation is investigated. Using similarity transformations, the governing momentum and energy equations are transformed to self-similar nonlinear ODEs and then those are solved numerically by very efficient shooting method. The analysis explores many important aspects of flow and heat transfer of the aforesaid non-Newtonian fluid flow dynamics. For the steady flow of non-Newtonian Casson fluid, more amount of wall mass suction through the porous sheet is required in comparison to that of Newtonian fluid flow. Dual similarity solutions are obtained for velocity and temperature. The viscous dissipation effect has major impact on the heat transfer characteristic. In fact, heat absorption at the surface occurs and it increases due to viscous dissipation. For higher Prandtl number, the temperature inside the boundary layer reduces, but with larger Eckert number (viscous dissipation) it is enhanced. Hindawi Publishing Corporation 2016 Article PeerReviewed Zaib, Aurang and Bhattacharyya, Krishnendu and Uddin, Md. Sharif and Shafie, Sharidan (2016) Dual solutions of Non-Newtonian Casson fluid flow and heat transfer over an exponentially permeable shrinking sheet with viscous dissipation. Modelling and Simulation in Engineering, 2016 . pp. 1-8. ISSN 1687-5591 http://dx.doi.org/10.1155/2016/6968371 DOI:10.1155/2016/6968371 |
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QA Mathematics Zaib, Aurang Bhattacharyya, Krishnendu Uddin, Md. Sharif Shafie, Sharidan Dual solutions of Non-Newtonian Casson fluid flow and heat transfer over an exponentially permeable shrinking sheet with viscous dissipation |
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The two-dimensional boundary layer flow of a non-Newtonian Casson fluid and heat transfer due to an exponentially permeable shrinking sheet with viscous dissipation is investigated. Using similarity transformations, the governing momentum and energy equations are transformed to self-similar nonlinear ODEs and then those are solved numerically by very efficient shooting method. The analysis explores many important aspects of flow and heat transfer of the aforesaid non-Newtonian fluid flow dynamics. For the steady flow of non-Newtonian Casson fluid, more amount of wall mass suction through the porous sheet is required in comparison to that of Newtonian fluid flow. Dual similarity solutions are obtained for velocity and temperature. The viscous dissipation effect has major impact on the heat transfer characteristic. In fact, heat absorption at the surface occurs and it increases due to viscous dissipation. For higher Prandtl number, the temperature inside the boundary layer reduces, but with larger Eckert number (viscous dissipation) it is enhanced. |
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Article |
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Zaib, Aurang Bhattacharyya, Krishnendu Uddin, Md. Sharif Shafie, Sharidan |
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Zaib, Aurang Bhattacharyya, Krishnendu Uddin, Md. Sharif Shafie, Sharidan |
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Zaib, Aurang |
title |
Dual solutions of Non-Newtonian Casson fluid flow and heat transfer over an exponentially permeable shrinking sheet with viscous dissipation |
title_short |
Dual solutions of Non-Newtonian Casson fluid flow and heat transfer over an exponentially permeable shrinking sheet with viscous dissipation |
title_full |
Dual solutions of Non-Newtonian Casson fluid flow and heat transfer over an exponentially permeable shrinking sheet with viscous dissipation |
title_fullStr |
Dual solutions of Non-Newtonian Casson fluid flow and heat transfer over an exponentially permeable shrinking sheet with viscous dissipation |
title_full_unstemmed |
Dual solutions of Non-Newtonian Casson fluid flow and heat transfer over an exponentially permeable shrinking sheet with viscous dissipation |
title_sort |
dual solutions of non-newtonian casson fluid flow and heat transfer over an exponentially permeable shrinking sheet with viscous dissipation |
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Hindawi Publishing Corporation |
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2016 |
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http://eprints.utm.my/id/eprint/69239/ http://dx.doi.org/10.1155/2016/6968371 |
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