Impact of Hall effect, nonlinear radiation and heat source on MHD Couette-Poiseuille flow of nanoliquid through a rotating channel

Purpose This report offers the detailed investigation of Couette-Poiseuille flow of nanoliquid with varying viscosity. The analysis is carried out by considering flow between two parallel plates in a rotating permeable channel with the aid of nonlinear thermal radiation and Hall effect. The predominant equations governing the physical phenomenon are demonstrated using the Buongiorno model. Design/methodology/approach Numerical computation for the demonstrated physical problem is achieved through the implementation of the Runge-Kutta-Fehlberg fourth-fifth-order method along with shooting technique. Findings The theoretical view of Brownian motion, nonlinear radiation, Hall effect and thermophoresis parameter is presented graphically. Originality/value It is revealed that flow velocity increases with the upper wall motion parameter and magnetic field. Also, it is established that an increase in the Nusselt number is achieved for increasing values of nonlinear radiation parameter.