| Analytic Study of Magnetohydrodynamic Flow and Boundary Layer Control Over a Wedge |
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| 作者单位： | Department of Mathematics，Anna University，Chennai-600 025，India，Department of Mathematics，S.S.N.College of Engineering，Kalavakkam，Chennai-603 110，India |
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| 基金项目： | Acknowledgment One of the authors, S. Baskaran would like to thank the Management Committee of S.S.N. College of Engineering, Chennai for their constant support. |
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| 摘 要： | A genuine variational principle developed by Gyarmati, in the field of thermodynamics of irreversible processes unifying the theoretical requirements of technical, environmental and biological sciences is employed to study the effects of uniform suction and injection on MHD flow adjacent to an isothermal wedge with pressure gradient in the presence of a transverse magnetic field. The velocity distribution inside the boundary layer has been considered as a simple polynomial function and the variational principle is formulated. The Euler-Lagrange equation is reduced to a simple polynomial equation in terms of momentum boundary layer thickness. The velocity profiles, displacement thickness and the coefficient of skin friction are calculated for various values of wedge angle parameter m, magnetic parameter ξ and suction/injection parameter H. The present results are compared with known available results and the comparison is found to be satisfactory. The present study establishes high accuracy of results obtained by this variational technique.
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| 关 键 词： | 磁流体动力学 表面摩擦 变更原则 楔形参数 |
| 收稿时间： | 25 February 0002 |
Analytic study of magnetohydrodynamic flow and boundary layer control over a wedge |
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| Authors: | M Chandrasekar S Baskaran |
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| Institution: | [1]Department of Mathematics, Anna University, Chennai-600 025, India [2]Department of Mathematics, S.S.N.College of Engineering, Kalavakkam, Chennai-603 110, India |
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| Abstract: | A genuine variational principle developed by Gyarmati, in the field of thermodynamics of irreversible processes unifying the
theoretical requirements of technical, environmental and biological sciences is employed to study the effects of uniform suction
and injection on MHD flow adjacent to an isothermal wedge with pressure gradient in the presence of a transverse magnetic
field. The velocity distribution inside the boundary layer has been considered as a simple polynomial function and the variational
principle is formulated. The Euler-Lagrange equation is reduced to a simple polynomial equation in terms of momentum boundary
layer thickness. The velocity profiles, displacement thickness and the coefficient of skin friction are calculated for various
values of wedge angle parameter m, magnetic parameter 5m and suction/injection parameter H. The present results are compared with known available results and the comparison is found to be satisfactory. The present
study establishes high accuracy of results obtained by this variational technique.
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| Keywords: | Magnetohydrodynamics suction/injection skin friction Gyarmati's variational principle wedge parameter |
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