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The Effect of Magnetic Field on Compressible Boundary Layer by Homotopy Analysis Method
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We analyse the effect of applied magnetic field on the flow of compressible fluid with an adverse pressure gradient. The governing partial differential equations are solved analytically by Homotopy analysis method (HAM) and numerically by finite difference method. A detailed analysis is carried out for different values of the magnetic parameter, where suction/ injection is imposed at the wall. It is also observed that flow separation is seen in boundary layer region for large injection. HAM is a series solution which consists of a convergence parameter h which is estimated numerically by plotting h curve. Singularities of the solution are identified by Pade approximation.
Keywords
Homotopy analysis method, finite difference method, compressible boundary layer flow, Magnetohydrodynamics (MHD), Falkner-Skan transformations, Pade approximations, h curves, Region of convergence, suction, injection, Flow separation
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- L. N. Achala, R. Madhusudhan and S. B. Sathyanarayana, Study of compressible fluid flow in boundary layer region by homotopy analysis method, Inter. J. Latest Trends in Engineering and Tech., 9(1), (2017), 28–39.
- D. Arnal. Numerical and experimental studies on laminar flow control, Int. J. Num. Methods Fluids, 30 (1999), 193–204.
- T. Cebeci and P. Bradshaw, Physical and Computational Aspects of Convective Heat Transfer, Springer, Berlin, 1984.
- N. Kafoussias, A. Karabis and M. Xenos, Numerical study of two dimensional laminar boundary layer compressible flow with pressure gradient and heat and mass transfer, Int. J. Eng. Sci. 37 (1999) 1795–1812.
- N. G. Kafoussias and N. D. Nanousis, Magnetohydrodynamic laminar boundary layer flow over a wedge with suction or injection, Can. J. Phys. 75 (1997) 733–745.
- S. J. Liao, The proposed homotopy analysis techniques for the solution of nonlinear problems, Ph.D. dissertation, Shanghai Jiao Tong University, Shanghai, China, 1992.
- S. J. Liao, Homotopy Analysis Method in Nonlinear Differential Equations, Springer, 2011.
- B. K. Ramesh , R. Shreenivas, L. N.Achala and N. M. Bujurke, MHD boundary layer flow over a non-linear stretching boundary with suction and injection, Inte. J. NonLinear Mechanics, 50(2013), 58–67.
- B. K. Ramesh , R. Shreenivas, L. N. Achala and N. M. Bujurke, Exact solution of two-dimensional MHD boundary layer flow over a semi-infinite flat plate, Commun. Nonlinear Sc. Numerical Simulation, 18(5), 1151–1161(2013).
- V. J. Rossow, On Flow Of Electrically Conducting Fluids Over A Flat Plate In The Presence Of A Transverse Magnetic Field, NTRS–NASA Technical Report NACATR1358, January 1958.
- S. B. Sathyanarayana and L. N. Achala, Approximate analytical solution of magnetohydrodynamics compressible boundary layer flow with pressure gradient and suction/ injection, J. Adv. Phys. 6(3) (2014) 1216–1226.
- H. Schlichting, Boundary Layer Theory, McGraw-Hill, 1960.
- P. G. Siddheshwar, A series solution for the Ginzburg-Landau equation with a timeperiodic coefficient, Appl. Math. 3 (2010) 542-554.
- G. W. Sutton and A. Sherman, Engineering Magnetohydrodynamics. McGraw-Hill, Inc. New York. 1965.
- M. Xenos, N. Kafoussias and G. Karahalios, Magnetohydrodynamic compressible laminar boundary-layer adiabatic flow with adverse pressure gradient and continuous or localized mass transfer, Can. J. Phys. 79 (2001) 1247–1263.
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