Analytical solution of magnetohydrodynamic sink flow |
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Authors: | Ji Zhang Tie-gang Fang Yong-fang Zhong |
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Institution: | [1]Mechanical and Aerospace Engineering Department, North Carolina State University, Raleigh, NC 27695, USA [2]School of Engineering, Penn State Erie, the Behrend College, Erie, PA 16563-1701, USA |
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Abstract: | An analytical solution to the famous Falkner-Skan equation for the magnetohydrodynamic (MHD) flow is obtained for a special
case, namely, the sink flow with a velocity power index of −1. The solution is given in a closed form. Multiple solution branches
are obtained. The effects of the magnetic parameter and the wall stretching parameter are analyzed. Interesting velocity profiles
are observed with reversal flow regions even for a stationary wall. These solutions provide a rare case of the Falkner-Skan
MHD flow with an analytical closed form formula. They greatly enrich the analytical solution for the celebrated Falkner-Skan
equation and provide better understanding of this equation. |
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Keywords: | similarity solution Falkner-Skan equation stretching surface magnetohydrodynamic (MHD) analytical solution sink flow |
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