Title: Haar wavelet collocation method for the investigation of micropolar fluid flow in a porous channel with suction and injection
Authors: Harinakshi Karkera; Nagaraj N. Katagi
Addresses: Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, 576 104, India ' Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, 576 104, India
Abstract: In this paper, the problem of micropolar fluid flow in a porous channel is analysed using a novel concept of Haar wavelet-based numerical method. Haar wavelet approach is explored for the first time for the solution of higher order coupled nonlinear boundary value problems without employing linearisation technique. The objective is to demonstrate the simplicity and efficiency of the proposed numerical scheme to find the approximate solution for the governing problem. Using suitable similarity transformations, the resulting nonlinear coupled differential equations of fourth order are solved to acquire a complete description of the micropolar fluid flow in a porous channel. Error analysis is performed to authenticate the accuracy of the results obtained. The behaviour of velocity and microrotation profiles in the flow channel driven by the influence of wall porosity are explained in detail through graphs and tables for pertinent parameters like Reynolds number Re and microrotation boundary parameter s ∈ [0, 1/2]. The new method presented in this study found to be powerful and promising to obtain solutions of different nonlinear boundary value problems.
Keywords: mass transfer; micropolar flow; nonlinear coupled differential equations; Haar wavelets.
International Journal of Mathematical Modelling and Numerical Optimisation, 2022 Vol.12 No.2, pp.157 - 175
Received: 21 Jun 2021
Accepted: 20 Aug 2021
Published online: 08 Apr 2022 *