Unsteady viscous MHD flow over a permeable curved stretching/shrinking sheet
Purpose – The purpose of this paper is to theoretically study the problem of the unsteady boundary layer flow past a permeable curved stretching/shrinking surface in the presence of a uniform magnetic field. The governing nonlinear partial differential equations are converted into ordinary different...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Emerald Group Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/53198/1/53198.pdf |
| _version_ | 1825930810628243456 |
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| author | Pop, Ioan Mohamed Isa, Siti Suzilliana Putri Md. Arifin, Norihan Mohd Nazar, Roslinda Bachok @ Lati, Norfifah Md. Ali, Fadzilah |
| author_facet | Pop, Ioan Mohamed Isa, Siti Suzilliana Putri Md. Arifin, Norihan Mohd Nazar, Roslinda Bachok @ Lati, Norfifah Md. Ali, Fadzilah |
| author_sort | Pop, Ioan |
| collection | UPM |
| description | Purpose – The purpose of this paper is to theoretically study the problem of the unsteady boundary layer flow past a permeable curved stretching/shrinking surface in the presence of a uniform magnetic field. The governing nonlinear partial differential equations are converted into ordinary differential equations by similarity transformation, which are then solved numerically.
Design/methodology/approach – The transformed system of ordinary differential equations was solved using a fourth-order Runge-Kutta integration scheme. Results for the reduced skin friction coefficient and velocity profiles are presented through graphs and tables for several sets of values of the governing parameters. The effects of these parameters on the flow characteristics are thoroughly examined.
Findings – Results show that for the both cases of stretching and shrinking surfaces, multiple solutions exist for a certain range of the curvature, mass suction, unsteadiness, stretching/shrinking parameters and magnetic field parameter.
Originality/value – The paper describes how multiple (dual) solutions for the flow reversals are obtained. It is shown that the solutions exist up to a critical value of the shrinking parameter, beyond which the boundary layer separates from the surface and the solution based upon the boundary layer approximations is not possible. |
| first_indexed | 2024-03-06T09:17:13Z |
| format | Article |
| id | upm.eprints-53198 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:17:13Z |
| publishDate | 2016 |
| publisher | Emerald Group Publishing |
| record_format | dspace |
| spelling | upm.eprints-531982019-11-01T02:13:58Z http://psasir.upm.edu.my/id/eprint/53198/ Unsteady viscous MHD flow over a permeable curved stretching/shrinking sheet Pop, Ioan Mohamed Isa, Siti Suzilliana Putri Md. Arifin, Norihan Mohd Nazar, Roslinda Bachok @ Lati, Norfifah Md. Ali, Fadzilah Purpose – The purpose of this paper is to theoretically study the problem of the unsteady boundary layer flow past a permeable curved stretching/shrinking surface in the presence of a uniform magnetic field. The governing nonlinear partial differential equations are converted into ordinary differential equations by similarity transformation, which are then solved numerically. Design/methodology/approach – The transformed system of ordinary differential equations was solved using a fourth-order Runge-Kutta integration scheme. Results for the reduced skin friction coefficient and velocity profiles are presented through graphs and tables for several sets of values of the governing parameters. The effects of these parameters on the flow characteristics are thoroughly examined. Findings – Results show that for the both cases of stretching and shrinking surfaces, multiple solutions exist for a certain range of the curvature, mass suction, unsteadiness, stretching/shrinking parameters and magnetic field parameter. Originality/value – The paper describes how multiple (dual) solutions for the flow reversals are obtained. It is shown that the solutions exist up to a critical value of the shrinking parameter, beyond which the boundary layer separates from the surface and the solution based upon the boundary layer approximations is not possible. Emerald Group Publishing 2016 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/53198/1/53198.pdf Pop, Ioan and Mohamed Isa, Siti Suzilliana Putri and Md. Arifin, Norihan and Mohd Nazar, Roslinda and Bachok @ Lati, Norfifah and Md. Ali, Fadzilah (2016) Unsteady viscous MHD flow over a permeable curved stretching/shrinking sheet. International Journal of Numerical Methods for Heat & Fluid Flow, 26 (8). pp. 2370-2392. ISSN 0961-5539; ESSN: 1758-6585 10.1108/HFF-07-2015-0301 |
| spellingShingle | Pop, Ioan Mohamed Isa, Siti Suzilliana Putri Md. Arifin, Norihan Mohd Nazar, Roslinda Bachok @ Lati, Norfifah Md. Ali, Fadzilah Unsteady viscous MHD flow over a permeable curved stretching/shrinking sheet |
| title | Unsteady viscous MHD flow over a permeable curved stretching/shrinking sheet |
| title_full | Unsteady viscous MHD flow over a permeable curved stretching/shrinking sheet |
| title_fullStr | Unsteady viscous MHD flow over a permeable curved stretching/shrinking sheet |
| title_full_unstemmed | Unsteady viscous MHD flow over a permeable curved stretching/shrinking sheet |
| title_short | Unsteady viscous MHD flow over a permeable curved stretching/shrinking sheet |
| title_sort | unsteady viscous mhd flow over a permeable curved stretching shrinking sheet |
| url | http://psasir.upm.edu.my/id/eprint/53198/1/53198.pdf |
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