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
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
:Emerald Publishing Limited
Copyright © 2017, Emerald Publishing Limited