Dual solutions for second-order slip flow and heat transfer on a vertical permeable shrinking sheet
The aim of the paper is to study viscous fluid flow and heat transfer with second-order slip at linearly shrinking isothermal sheet in a quiescent medium. The sheet is permeable and subjected to constant suction. The governing equations consisting of the continuity, momentum, and the energy are tran...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2013-12-01
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| Series: | Ain Shams Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447913000312 |
| _version_ | 1831543920121610240 |
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| author | Gurminder Singh A.J. Chamkha |
| author_facet | Gurminder Singh A.J. Chamkha |
| author_sort | Gurminder Singh |
| collection | DOAJ |
| description | The aim of the paper is to study viscous fluid flow and heat transfer with second-order slip at linearly shrinking isothermal sheet in a quiescent medium. The sheet is permeable and subjected to constant suction. The governing equations consisting of the continuity, momentum, and the energy are transformed into a system of ordinary differential equations using suitable similarity transformation and solved numerically using the Runge–Kutta fourth-order method with the shooting technique. It is found that the problem possesses a dual physical solution. The effects of different parameters on the velocity and the temperature distributions as well as the skin-friction coefficient and the Nusselt number are presented graphically and in tabular form. |
| first_indexed | 2024-12-17T00:59:38Z |
| format | Article |
| id | doaj.art-e950dc021a594e7cb2b217a38d730cc8 |
| institution | Directory Open Access Journal |
| issn | 2090-4479 |
| language | English |
| last_indexed | 2024-12-17T00:59:38Z |
| publishDate | 2013-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj.art-e950dc021a594e7cb2b217a38d730cc82022-12-21T22:09:31ZengElsevierAin Shams Engineering Journal2090-44792013-12-014491191710.1016/j.asej.2013.02.006Dual solutions for second-order slip flow and heat transfer on a vertical permeable shrinking sheetGurminder Singh0A.J. Chamkha1Birla Institute of Technology (Ranchi), Ext. Center Jaipur 27, Malviya Industrial Area, Jaipur 302 017, IndiaManufacturing Engineering Department, The Public Authority for Applied Education and Training, Shuweikh 70654, KuwaitThe aim of the paper is to study viscous fluid flow and heat transfer with second-order slip at linearly shrinking isothermal sheet in a quiescent medium. The sheet is permeable and subjected to constant suction. The governing equations consisting of the continuity, momentum, and the energy are transformed into a system of ordinary differential equations using suitable similarity transformation and solved numerically using the Runge–Kutta fourth-order method with the shooting technique. It is found that the problem possesses a dual physical solution. The effects of different parameters on the velocity and the temperature distributions as well as the skin-friction coefficient and the Nusselt number are presented graphically and in tabular form.http://www.sciencedirect.com/science/article/pii/S2090447913000312Second-order slip flowVertical shrinking sheetDual solutionsSuction |
| spellingShingle | Gurminder Singh A.J. Chamkha Dual solutions for second-order slip flow and heat transfer on a vertical permeable shrinking sheet Ain Shams Engineering Journal Second-order slip flow Vertical shrinking sheet Dual solutions Suction |
| title | Dual solutions for second-order slip flow and heat transfer on a vertical permeable shrinking sheet |
| title_full | Dual solutions for second-order slip flow and heat transfer on a vertical permeable shrinking sheet |
| title_fullStr | Dual solutions for second-order slip flow and heat transfer on a vertical permeable shrinking sheet |
| title_full_unstemmed | Dual solutions for second-order slip flow and heat transfer on a vertical permeable shrinking sheet |
| title_short | Dual solutions for second-order slip flow and heat transfer on a vertical permeable shrinking sheet |
| title_sort | dual solutions for second order slip flow and heat transfer on a vertical permeable shrinking sheet |
| topic | Second-order slip flow Vertical shrinking sheet Dual solutions Suction |
| url | http://www.sciencedirect.com/science/article/pii/S2090447913000312 |
| work_keys_str_mv | AT gurmindersingh dualsolutionsforsecondorderslipflowandheattransferonaverticalpermeableshrinkingsheet AT ajchamkha dualsolutionsforsecondorderslipflowandheattransferonaverticalpermeableshrinkingsheet |