摘要An analysis of magnetohydrodynamic (MHD) boundary layer flow and heat transfer over a flat plate with slip condition at the boundary is presented. A complete self-similar set of equations are obtained from the governing equations using similarity transformations and are solved by a shooting method. In the boundary slip condition no local similarity occurs. Velocity and temperature distributions within the boundary layer are presented. Our analysis reveals that the increase of magnetic and slip parameters reduce the boundary layer thickness and also enhance the heat transfer from the plate.
Abstract：An analysis of magnetohydrodynamic (MHD) boundary layer flow and heat transfer over a flat plate with slip condition at the boundary is presented. A complete self-similar set of equations are obtained from the governing equations using similarity transformations and are solved by a shooting method. In the boundary slip condition no local similarity occurs. Velocity and temperature distributions within the boundary layer are presented. Our analysis reveals that the increase of magnetic and slip parameters reduce the boundary layer thickness and also enhance the heat transfer from the plate.
Krishnendu Bhattacharyya**;Swati Mukhopadhyay;G. C. Layek
. MHD Boundary Layer Slip Flow and Heat Transfer over a Flat Plate[J]. 中国物理快报, 2011, 28(2): 24701-024701.
Krishnendu Bhattacharyya**, Swati Mukhopadhyay, G. C. Layek
. MHD Boundary Layer Slip Flow and Heat Transfer over a Flat Plate. Chin. Phys. Lett., 2011, 28(2): 24701-024701.
[1] Blasius H 1908 Zeitschrift für Mathematik und Physik 56 1
[2] Pohlhausen E 1921 Z. Angew. Math. Mech. 1 115
[3] Howarth L 1938 Proc. R. Soc. London A 164 547
[4] Pop I and Takhar H S 1983 Mech. Res. Commun. 10 83
[5] Abu-Sitta A M M 1994 Appl. Math. Comp. 64 73
[6] Wang L 2004 Appl. Math. Comput. 157 1
[7] Cortell R 2005 Appl. Math. Comput. 170 706
[8] Bataller R C 2008 Appl. Math. Comput. 198 333
[9] Cortell R 2008 Chin. Phys. Lett. 25 1340
[10] Sparrow E M and Cess R D 1961 Int. J. Heat Mass Trans. 3 267
[11] Gupta A S 1963 ZAMP 13 324
[12] Riley N 1964 J. Fluid Mech. 18 577
[13] Watanabe T and Pop I 1995 Acta Mech. 108 35
[14] Damseh R A, Duwairi H M and Al-Odat M 2006 Turk. J. Eng. Env. Sci. 30 83
[15] Martin M J and Boyd I D 2006 J. Thermophys. Heat Trans. 20 710
[16] Cao K and Baker J 2009 Int. J. Heat Mass Trans. 52 3829
[17] Aziz A 2010 Commun. Nonlinear Sci. Numer. Simulat. 15 573
[18] Andersson H I 2002 Acta Mech. 158 121
[19] Wang C Y 2002 Chem. Eng. Sci. 57 3745
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