Exact Analytical Solution of the Magnetohydrodynamic Sink Flow

ZHANG Ji; FANG Tie-gang; ZHONG Yong-fang

doi:10.3879/j.issn.1000-0887.2011.10.001

Volume 32 Issue 10

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ZHANG Ji, FANG Tie-gang, ZHONG Yong-fang. Exact Analytical Solution of the Magnetohydrodynamic Sink Flow[J]. Applied Mathematics and Mechanics, 2011, 32(10): 1139-1147. doi: 10.3879/j.issn.1000-0887.2011.10.001

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Exact Analytical Solution of the Magnetohydrodynamic Sink Flow

doi: 10.3879/j.issn.1000-0887.2011.10.001

Mechanical and Aerospace Engineering Department, North Carolina State University, 911 Oval Drive-3246 EBIII, Campus Box 7910, Raleigh, NC 27695, USA;
School of Engineering, Penn State Erie, the Behrend College Erie, PA, 16563-1701, USA

Received Date: 2010-06-22
Rev Recd Date: 2011-06-17
Publish Date: 2011-10-15

Abstract

Abstract

An exact analytical solution of the famous Falkner-Skan equation for magneto-hydro-dynamic (MHD) flow was obtained for a special case,namely the sink flow with a velocity power index of -1.The solution was given in a closed form.Multiple solution branches were observed.The effects of the magnetic parameter and the wall stretching parameter were analyzed.Interesting velocity profiles were observed with reversal flow regions even for a stationary wall.These solutions provide a rare case of the Falkner-Skan MHD flow with exact analytical closed form formula and greatly enrich the analytical solution to the celebrated Falkner-Skan equation and the understanding of this important and interesting equation.
- similarity solution,
- Falkner-Skan equation,
- stretching surface,
- magnetohydrodynamics,
- analytical solution,
- sink flow

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References(32)

References

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