Effect of magnetized variable thermal conductivity on flow and heat transfer characteristics of unsteady Williamson fluid

Nonlinear Engineering

Basha Hussain¹  Naduvinamani N. B.²  Shankar Usha² 

[1] Department of Mathematics, Central University of Karnataka, Kalaburagi-585 367, Karnataka, India;Department of Mathematics, Gulbarga University, Kalaburagi-585 106, Karnataka, India;

关键词: williamson fluid;    weissenberg number;    sensor surface;    magnetic field;    variable thermal conductivity;    squeezed flow;   

DOI  :  10.1515/nleng-2020-0020

来源: DOAJ

【 摘 要 】

A two-dimensional mathematical model of magnetized unsteady incompressible Williamson fluid flow over a sensor surface with variable thermal conductivity and exterior squeezing with viscous dissipation effect is investigated, numerically. Present flow model is developed based on the considered flow geometry. Effect of Lorentz forces on flow behaviour is described in terms of magnetic field and which is accounted in momentum equation. Influence of variable thermal conductivity on heat transfer is considered in the energy equation. Present investigated problem gives the highly complicated nonlinear, unsteady governing flow equations and which are coupled in nature. Owing to the failure of analytical/direct techniques, the considered physical problem is solved by using Runge-Kutta scheme (RK-4) via similarity transformations approach. Graphs and tables are presented to describe the physical behaviour of various control parameters on flow phenomenon. Temperature boundary layer thickens for the amplifying value of Weissenberg parameter and permeable velocity parameter. Velocity profile decreased for the increasing squeezed flow index and permeable velocity parameter. Increasing magnetic number increases the velocity profile. Magnifying squeezed flow index magnifies the magnitude of Nusselt number. Also, RK-4 efficiently solves the highly complicated nonlinear complex equations that are arising in the fluid flow problems. The present results in this article are significantly matching with the published results in the literature.

【 授权许可】

Unknown