Approximate Analytical Solution of Magnetohydrodynamics Compressible Boundary Layer flow with Pressure Gradient and suction/injection
DOI:
https://doi.org/10.24297/jap.v6i3.6957Abstract
The aim of this work is to obtain exact analytical solution to the two dimensional laminar compressible boundary layer flow with an adverse pressure gradient in the presence of heat and mass transfer with MHD. The method applied is homotopy analysis method. It is shown that this solution agrees very well with numerical solution which is obtained by Runge-Kutta Merson method and results are shown graphically for different magnetic parameters.
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References
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flow with adverse pressure gradient and continuous or localized mass transfer, Can. J. Phys. ,79,2001,1247-1263.
[3] M. Xenos, E. Tzirtzilakis and N. Kafoussias,Compressible turbulent boundary-layer ow control over a wedge. 2nd
International Conference, Scientfic Computing to Computational Engineering,2nd IC-SCCE Athens , 5-8 July, 2006.
[4] F. Hirt and H. Thomann,Measurement of wall shear stress in turbulent boundary layers subject to strong pressure
gradients, J . Fluid Mech,171, 1986,547-562.
[5] M. Kumari, H. S. Takhar And G. Nath, Compressible MHD Boundary Layer In The Stagnation Region Of A Sphere, ht.
J. Engg Sci., 28, No. 5, 1990, 357-366.
[6] V. G. Naidu, K. S. Rao, M. L. Mittal, B. Nageswara Rao, Laminar compressible MHD (magneto hydro dynamic)
boundary layers , ht. J. Engg Sci.,55, Issue 6,1989, 196-198.
[7] Michael James Martin, Chunpei Cai, and Iain D. Boyd, Slip Flow in a Magnetohydrodynamic Boundary Layer , 43rd
AIAA Plasmadynamics and Lasers Conference , AIAA 2012-3295 ,June 2012 New Orleans, Louisiana, 25 - 28 .
[8] A. Adhikari and D.C. Sanyal, Heat Transfer On MHD Viscous Flow Over A Stretching Sheet With Prescribed Heat
Flux, Bulletin Of International Mathematical Virtual Institute , www.imvibl.org, Former Bulletin Of Society Of
Mathematicians Banja Luka, ISSN 0354-5792 (o), ISSN 1986-521,3 ISSN 1840-4367 , 2013,35-47.
[9] J.H. Davidson and F.A. Kulacki and P.F. Dunn, Handbook of single-phase convective heat transfer. Edited by S.
Kakac, R.K. Shah, and W. Aung. John Wiley \& Sons , Springer-Verlag ,1987, 9.1-9.49.
[10] J.M.G. Chanty, Magnetized plasma flow over an insulator at high magnetic reynolds number, J. Thermophy and Heat
Transfer, 1994, 3-10.
[11] D. Arnal, In Proceedings of the CISM Courses and Lectures on Control of Flow Instabilities and Unsteady Flows,
Udine, Italy. No. 369. September 18-22, 1995. Edited by G.E.A. Meier and G.H.Schnerr, Springer-Verlag , New York,
1996 , 119-153.
[12] V.J. Rossow , Impulsive motion of an infinite flat plate in hydromagnetic viscous incompressible fluid, NACA TN ,
3971 , May 1957.
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Published
2014-12-20
How to Cite
S. B, S. (2014). Approximate Analytical Solution of Magnetohydrodynamics Compressible Boundary Layer flow with Pressure Gradient and suction/injection. JOURNAL OF ADVANCES IN PHYSICS, 6(3), 1216–1226. https://doi.org/10.24297/jap.v6i3.6957
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