Influence of chemical kinetic exponent on transient mixed convective hydromagnetic flow in vertical channel with convective boundary condition

Abstract

A flow that is subject to the influence of both thermal buoyancy and pressure gradient is called mixed convection. This kind of flow can be found in a wide variety of scientific and infrastructural functionalities, such as sunlight transceivers that are open to the airflow, digital devices that are kept cool by fans, nuclear reactors that are cooled during emergency shutdowns, and heat exchangers that are placed in low-velocity environments. This paper present MHD coupled convection flow of chemical reaction of an exothermic and chemical kinetic fluid with Newtonian heating in a vertical channel. chemical reaction (λ), magnetohydrodynamics ( Ha ), Navier slip (Γ), and Newtonian heating ( Br ) are all taken into consideration, in addition to the chemical kinetic exponent ( m ). Homotopy perturbation techniques and implicit finite difference scheme are used to find the steady-state solution and transient state solution for the set of dimensionless coupled governing equations. The rate of heat transfer and sheer stress were derived by differentiating the analytical solution obtained. Various pertinent parameters controlling the flow such as chemical reaction parameter (λ), MHD ( Ha ), Newtonian heating parameter ( Br ), chemical kinetic exponent ( m ) and Navier slip parameter (Γ) are illustrated graphically. Velocity and temperature fields are also demonstrated. The studies showed that a little rise in the Hartman number induces the Lorentz force, which streamlines the velocity boundary layer, decelerating the flow. A minor increase in the mixed convection parameter, on the other hand, resulted in significantly enhanced flow profiles, resulting in a greater flow rate during biomolecular kinds of chemical processes. Also during course of computation, the energy and velocity profiles improve with increase in (λ), ( Br ), ( m ),(γ) and ( Gre ). However, a graphical comparison of the transient solution and the steady state solution was also displayed, with an outstanding agreement.