Abstract
This paper aims to determine the exact solutions of non-Newtonian fluid namely micropolar fluid with MHD in a porous medium by traveling wave method. The governing equations of incompressible micropolar fluid with MHD in a porous medium are non-linear PDEs reduced to ODEs through wave parameter ξ=mx+ny+Ut. The set of new exact solutions are determined for five different cases. In special cases, the solution for micropolar fluid with and without MHD and porous effects can also be obtained from general solutions. Furthermore, these solution reduces to a Newtonian solution if we put vortex viscosity κ→0. Finally, the influence of the material and other parameters of interest on the fluid motion, as well as a comparison among micropolar and Newtonian fluids is also analyzed by 2D and 3D graphical illustrations.
Highlights
In the present, many researchers are working on the non-Newtonian fluid from both essential and sensible point of view [1]
The electrically conducting fluid and magnetic properties are sufficiently studied in magnetohydrodynamics (MHD)
Khalid et al [4] have evaluated the exact solution of wall couple stress in MHD by Laplace transform and convolution
Summary
Many researchers are working on the non-Newtonian fluid from both essential and sensible point of view [1]. These fluids have immediate effects on the processing of polymer, animal blood, liquid crystal, and geological flows in the earth mantle. Many analytical and numerical solutions are accessible to non-Newtonian fluid on the topic. The electrically conducting fluid and magnetic properties are sufficiently studied in magnetohydrodynamics (MHD). Fatunmbi et al [5] have numerically studied the MHD stagnation point flow of a micropolar fluid by applying RK (Runge-Kutta) method. Hammouch [6] investigated the numerous solution of steady magnetohydrodynamics flow of dilatant
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