MHD squeezing flow between two parallel disks with suction or injection via Legendre wavelet-quasilinearization technique

Abstract

Purpose

This paper aims to propose a method by merging Legendre wavelets method and quasilinearization technique to tackle with the nonlinearity and to get better and more accurate results.

Design/methodology/approach

To test the significance of the proposed scheme, the authors applied the method on the model representing magneto-hydrodynamic squeezing flow of a viscous fluid between two parallel infinite disks, where one disk is impermeable and the other is porous with either suction or injection of the fluid. For the sake of comparison, numerical solution by using RK-4 is also computed. From the graphs and tables, it is evident that the proposed method shows an excellent accordance with the numerical solution.

Findings

The solution converges to the numerical solution when the degree of Legendre polynomials m is increased. For m = 20 in all the three cases, for different values of S, M and A, the graphs of solutions obtained by Legendre wavelet quasilinearization technique show an excellent agreement with numerical solution. Also, it is evident from figures that suction and injection affects the velocity profile in opposite way. For suction, maximum velocity is seen to be at the center of the channel. Magnetic field can be used to regularize the flow and it stabilizes the flow behavior.

Originality/value

Magnetic field can be used to regularize the flow and it stabilizes the flow behavior.

Citation

Mohyud-din, S.T., Iqbal, M.A., Khan, U. and Yang, X.-J. (2017), "MHD squeezing flow between two parallel disks with suction or injection via Legendre wavelet-quasilinearization technique", Engineering Computations, Vol. 34 No. 3, pp. 892-901. https://doi.org/10.1108/EC-05-2016-0175