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Haar wavelet quasilinearization approach for MHD Falkner–Skan flow over permeable wall via Lie group method

Ram Jiwari (Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India)
Vikas Kumar (Department of Mathematics, D.A.V. College, Pundri, India)
Ram Karan (Department of Mathematics, Kurukshetra University, Kurukshetra, India)
Ali Saleh Alshomrani (Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 5 June 2017

Abstract

Purpose

This paper aims to deal with two-dimensional magneto-hydrodynamic (MHD) Falkner–Skan boundary layer flow of an incompressible viscous electrically conducting fluid over a permeable wall in the presence of a magnetic field.

Design/methodology/approach

Using the Lie group approach, the Lie algebra of infinitesimal generators of equivalence transformations is constructed for the equation under consideration. Using these suitable similarity transformations, the governing partial differential equations are reduced to linear and nonlinear ordinary differential equations (ODEs). Further, Haar wavelet approach is applied to the reduced ODE under the subalgebra 4.1 for constructing numerical solutions of the flow problem.

Findings

A new type of solutions was obtained of the MHD Falkner–Skan boundary layer flow problem using the Haar wavelet quasilinearization approach via Lie symmetric analysis.

Originality/value

To find a solution for the MHD Falkner–Skan boundary layer flow problem using the Haar wavelet quasilinearization approach via Lie symmetric analysis is a new approach for fluid problems.

Keywords

Acknowledgements

The authors are very grateful to the reviewers for their valuable suggestions to improve the quality of the paper.

Citation

Jiwari, R., Kumar, V., Karan, R. and Alshomrani, A.S. (2017), "Haar wavelet quasilinearization approach for MHD Falkner–Skan flow over permeable wall via Lie group method", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 27 No. 6, pp. 1332-1350. https://doi.org/10.1108/HFF-04-2016-0145

Publisher

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Emerald Publishing Limited

Copyright © 2017, Emerald Publishing Limited