Repercussion of Hall current, no-slip, and Newton boundary condition on the thermal energy of the Carreau fluid in a microchannel

Abstract

ABSTRACT This research article addresses the physical characteristics of the Carreau fluid flow through a horizontal microchannel subjected to Newton boundary conditions, Hall current, and heat generation. The momentum and energy balance equations have been solved numerically by using the fourth-fifth ordered Runge–Kutta-Fehlberg method. The numerical results of velocity and energy mathematical models have been used to conclude the entropy generation, skin friction, and Nusselt number. The Hall parameter develops the axial velocity, transverse velocity, and temperature profile. The axial and transverse velocity shows distinct behaviour for Weissenberg number (by enhancing and diminishing) depending on the power law index. The optimum values of the Weissenberg number, Brinkman number and Hall current parameter escalate the temperature profile. Irreversibility rate falls with magnetic parameter and Weissenberg number. On the other hand, irreversibility ratio enhances by the augmentation of magnetic parameter and diminishes by the escalation of Brinkman number. The Hall current parameter and Weissenberg number enhance the skin friction in both axial and transverse velocities. The Brinkman number and Biot number upturn the heat transfer by convection process at the upper wall area of the channel.