The steady two-dimensional magnetohydrodynamic (MHD) stagnation-point flow of an electrically conducting incompressible viscous fluid toward a shrinking sheet is investigated. The sheet is shrunk in its own plane with a velocity proportional to the distance from the stagnation-point and a uniform magnetic field is applied normal to the sheet. Velocity component parallel to the sheet is found to increase with an increase in the magnetic field parameter . A region of reverse flow occurs near the surface of the shrinking sheet. It is shown that as increases, the tendency of this flow reversal decreases. It is also observed that the nonalignment of the stagnation-point flow and the shrinking sheet considerably complicates the flow structure. The effect of the magnetic parameter on the streamlines is shown for both aligned and nonaligned cases. The temperature distribution in the boundary layer is found when the surface is held at constant temperature. The analysis reveals that the temperature at a point increases with increasing in a certain neighborhood of the surface but beyond this, the temperature decreases with increasing . For fixed , the surface heat flux decreases with increase in the shrinking rate.
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March 2011
Research Papers
Momentum and Heat Transfer in MHD Stagnation-Point Flow Over a Shrinking Sheet
T. Ray Mahapatra,
T. Ray Mahapatra
Department of Mathematics,
e-mail: trmahapatra@yahoo.com
Visva-Bharati University
, Santiniketan 731 235, India
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S. K. Nandy,
S. K. Nandy
Department of Mathematics,
A.K.P.C Mahavidyalaya
, Bengai, Hooghly 712 611, India
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A. S. Gupta
A. S. Gupta
Department of Mathematics,
Indian Institute of Technology
, Kharagpur 721 302, India
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T. Ray Mahapatra
Department of Mathematics,
Visva-Bharati University
, Santiniketan 731 235, Indiae-mail: trmahapatra@yahoo.com
S. K. Nandy
Department of Mathematics,
A.K.P.C Mahavidyalaya
, Bengai, Hooghly 712 611, India
A. S. Gupta
Department of Mathematics,
Indian Institute of Technology
, Kharagpur 721 302, IndiaJ. Appl. Mech. Mar 2011, 78(2): 021015 (8 pages)
Published Online: November 10, 2010
Article history
Received:
December 6, 2009
Revised:
May 4, 2010
Posted:
September 17, 2010
Published:
November 10, 2010
Online:
November 10, 2010
Citation
Mahapatra, T. R., Nandy, S. K., and Gupta, A. S. (November 10, 2010). "Momentum and Heat Transfer in MHD Stagnation-Point Flow Over a Shrinking Sheet." ASME. J. Appl. Mech. March 2011; 78(2): 021015. https://doi.org/10.1115/1.4002577
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