Approximate analytical solutions of MHD viscous flow

Approximate analytical solutions of MHD viscous flow

Magnetohydrodynamics (MHD)

Boundary layer flow

Shrinking sheet

The paper presents the semi-numerical solution for the magnetohydrodynamic (MHD) viscous flow due to a shrinking sheet caused by boundary layer of an incompressible viscous flow. The governing three partial differential equations of momentum equations are reduced into ordinary differential equation (ODE) by using a classical similarity transformation along with appropriate boundary conditions. Both nonlinearity and infinite interval demand novel mathematical tools for their analysis. We use fast converging Dirichlet series and Method of stretching of variables for the solution of these nonlinear differential equations. These methods have the advantages over pure numerical methods for obtaining the derived quantities accurately for various values of the parameters involved at a stretch and also they are valid in much larger parameter domain as compared with  HAM, HPM, ADM and the classical numerical schemes.

Awati, Vishwanath Basavaraj

Journal of Naval Architecture and Marine Engineering; Vol. 13 No. 1 (2016); 79-87

2070-8998

1813-8535

Association of Naval Architects and Marine Engineers

2016-06-15

Copyright (c) 2016 Journal of Naval Architecture and Marine Engineering

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