Abstract
AbstractA 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.
Highlights
A two-dimensional mathematical model of magnetized unsteady incompressible Williamson uid ow over a sensor surface with variable thermal conductivity and exterior squeezing with viscous dissipation e ect is investigated, numerically
A two-dimensional magnetized Williamson uid ow about a sensor surface with variable thermal conductivity and exterior squeezing with viscous dissipation effect gives the highly complicated nonlinear system of ow equations and which are reduced to a simpli ed form by imposing suitable similarity transformations with appropriate initial boundary conditions
Weissenberg number is the ratio of relaxation time to the speci c process time
Summary
Abstract: A two-dimensional mathematical model of magnetized unsteady incompressible Williamson uid ow over a sensor surface with variable thermal conductivity and exterior squeezing with viscous dissipation e ect is investigated, numerically. The impact of transverse magnetic eld on squeezed hyperbolic tangent uid and its thermal ow behaviour about a sensor surface under external squeezing with unsteady conditions was investigated by Kumar et al [42] via RKF scheme.
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