Malaysian Journal of Mathematical Sciences, January 2020, Vol. 14, No. 1
Axisymmetric Slip Flow of a Powell-Eyring Fluid Due to Induced Magnetic Field
Subba Rao, M. V., Gangadhar, K., and Varma, P. L. N.
Corresponding Email: subbaraovu@rediffmail.com
Received date: 13 January 2018
Accepted date: 27 October 2019
Abstract:
The principal aim of this investigation is to study the heat transfer in axisymmetric slip flow of a MHD Powell-Eyring fluid over a radially
stretching surface. The mathematical model of the physical problem solved numerically through SRM, SOR and Matlab in-built boundary
value problem solver bvp4c. Results are validated by comparing with the results of the earlier studies. It shows that the proposed technique is an efficient numerical algorithm with assured convergence which serves as an alternative to common numerical methods for solving non-linear boundary value problems. There is a significant improvement in the rate of convergence in conjunction with SOR. The present SRM results compared with the previously published results of the homotopy analysis method (HAM) and fourth-order Runge-Kutta(RK) method. Velocity and temperature profiles of the flow for various values of governing physical and fluid parameters are obtained and also the coefficient of skin friction and the local Nusselt number are calculated for the same values of the parameters. The main findings are: there is a decrease in the velocity and temperature by increasing corresponding slip parameters and the rate of skin friction increases with \(\epsilon\) and decreases with \(\delta\).
Keywords: Spectral relaxation method (SRM), radially stretching surface, Powell-Eyring fluid, slip flow
