Analytical solution of magnetohydrodynamic sink flow

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a+|)[M2a0Analytical solution of magnetohydrodynamic sink flow

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O"@(it5D{o B0Abstract: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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Ji ZHANG[1] Tie-gang FANG[1] Yong-fang ZHONG[2]水利论文!ski'U$Po

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A~2d-q h0Mechanical and Aerospace Engineering Department, North Carolina State University,Raleigh, NC 27695, USASchool of Engineering, Penn State Erie, the Bebrend College,Erie, PA 16563-1701, USA

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应用数学和力学(英文版)

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similarity solution水利论文,NM^BS

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Falkner-Skan equation水利论文,^7b}#zLBKg'R d

6I/Bv)?2X%[*vQ0stretching surface

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magnetohydrodynamic (MHD)水利论文}1^1Ze:MA7k6t

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(H(vim/b0sink flow水利论文:N#fPy7C3z

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vbk$iXC-X-iGo?0MHD flow analytical solution velocity understanding solutions profiles form case special better power index水利论文"_6] ~SwH

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