Wavelet-based numerical solution for mhd boundary-layer flow due to stretching sheet

Karkera, Harinakshi and Katagi, N N (2021) Wavelet-based numerical solution for mhd boundary-layer flow due to stretching sheet. International Journal of Applied Mechanics and Engineerig, 26 (3). pp. 84-103. ISSN 1734-4492

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Abstract

In this paper, a two-dimensional steady flow of a viscous fluid due to a stretching sheet in the presence of a magnetic field is considered. We proposed two new numerical schemes based on the Haar wavelet coupled with a collocation approach and quasi-linearization process for solving the Falkner-Skan equation representing the governing problem. The important derived quantities representing the fluid velocity and wall shear stress for various values of flow parameters M and β are calculated. The proposed methods enable us to obtain the solutions even for negative β , nonlinear stretching parameter, and smaller values of the magnetic parameter ( ) M < 1 which was missing in the earlier findings. Numerical and graphical results obtained show an excellent agreement with the available findings and demonstrate the efficiency and accuracy of the developed schemes. Another significant advantage of the present method is that it does not depends on small parameters and initial presumptions unlike in traditional semi-analytical and numerical methods.

Item Type: Article
Uncontrolled Keywords: MHD flow, boundary layer, quasi-linearization, Haar wavelets.
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 03 Mar 2022 06:19
Last Modified: 03 Mar 2022 06:19
URI: http://eprints.manipal.edu/id/eprint/158339

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