Theoretical analysis of MHD Carreau liquid over a heated rotating disk under Von-Karman transformations

Abstract

Purpose

The purpose of this paper is to perform an analytical approximation for the flow of magnetohydrodynamic Carreau fluid with the association of nanoparticles over a rotating disk. The disk is moving with a constant uniform speed. Governing equations are obtained by using these assumptions in the form of partial differential equations with boundary conditions. These coupled, highly nonlinear equations are transformed into a coupled system of ordinary differential equations by engaging similarity transformation in the rotating frame of reference.

Design/methodology/approach

An efficient and reliable scheme, namely optimal homotopy asymptotic method, is used to obtain the solutions of the arising physical problem, which is further analyzed graphically. After computing the solutions of the arising problem, plots of velocities, temperature and concentration are discussed briefly.

Findings

It has been observed that dimensionless velocity reduced due to magnetic effect between the boundary layer and escalating values of the magnetic parameter upsurges the temperature and concentration profiles. Contour plots and numerical results are given for local numbers like skin friction coefficient, Nusselt number and Sherwood number.

Originality/value

The work presented in this manuscript is neither published nor submitted anywhere for the consideration/publications. It is a novel work.

Citation

Bibi, M., Sohail, M. and Naz, R. (2020), "Theoretical analysis of MHD Carreau liquid over a heated rotating disk under Von-Karman transformations", Multidiscipline Modeling in Materials and Structures, Vol. 16 No. 2, pp. 390-408. https://doi.org/10.1108/MMMS-04-2019-0083