Thermal radiation effect on unsteady three-dimensional MHD flow of micropolar fluid over a horizontal surface of a parabola of revolution

This paper explores the time-dependent magnetohydrodynamics (MHD) micropolar fluid flow over a three-dimensional variable stretching surface in the occurrence of radiation effect. The model time-dependent partial differential equations (PDE's) in three independent variables are transformed into ordinary differential equations (ODE's) by the suitable self similarity variables. Homotopy perturbation method (HPM) and Runge-Kutta (RK) 4th order method along with shooting technique are used in the present model. And also, HPM results are compared with Runge-Kutta (RK) 4th order method along with the shooting technique. The velocity, micro rotation in x and y directions, temperature, skin friction factor and heat transfer rates are examined for the emerging parameters. The velocity profiles and momentum boundary layer thickness intensification with increasing values of the vortex viscosity parameter. The higher value of a magnetic parameter declines the skin friction coefficient. This type of investigation may be profitable to the polymer fluids, exotic lubricants, electronic chips, artificial fibers, drawing of copper wires, etc. (c) 2022 Beihang University. Publishing services by Elsevier B.V. on behalf of KeAi Communications Co. Ltd.This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).

Automated summary

This paper investigates the time-dependent magnetohydrodynamics micropolar fluid flow over a three-dimensional variable stretching surface in the presence of radiation effect. The model equations are transformed into ordinary differential equations using suitable self similarity variables. The Homotopy perturbation method and Runge-Kutta 4th order method with shooting technique are used for solving the model equations. The results obtained by Homotopy perturbation method are compared with those obtained by Runge-Kutta 4th order method with shooting technique. The study examines the velocity, micro rotation, temperature, skin friction factor, and heat transfer rates for different parameters.