Effective properties of binary chemical reaction with Brownian and thermophoresis on the radiative flow of nanofluid within an inclined heated channel

An investigation is proposed for the Buongiorno model nanofluid flow within a converging as well as diverging channel which is inclined with the plane walls. The impact of magnetization is reported for the imposed of applied magnetic field along the normal direction of the flow. Additionally, the behavior of thermal radiation and the effect of binary chemical ration are implemented in the energy and concentration equation respectively. It is superimposed that both the channel walls are uniformly heated, and it is also assumed that concentration of the nanoparticles near the walls is considered as constant. However, the Cartesian coordinate system is imposed to describe the proposed designed flow problem. The formulated problem governed by nonlinear coupled partial differential equations is generalized and renovated to corresponding nondimensional form by implementing appropriate similarity rules. Further, the transformed equations are solved numerically using Runge-Kutta fourth order accompanied by shooting technique. The physical behavior of the standard factors involved in the problem is displayed graphically. Validation of the result is presented with an earlier study which shows a good correlation as well as convergence analysis of the proposed methodology. Further, the important outcomes of the proposed study are deployed as follows: the velocity distribution retards for the enhanced Reynolds number significantly; however, the Brownian motion is treated as a controlling parameter for the fluid temperature and reverse impact observed in case of fluid concentration.

Graphical Abstract

• The Buongiorno model nanofluid flow within a converging and diverging channel inclined with the plane walls is analysed.

• The behaviour of not only thermal radiation but also the effect of binary chemical ration is implemented.

• It is superimposed that both the channel walls are uniformly heated and it is also assumed that concentration of the nanoparticles near the walls is considered as constant.

• The transformed equations are solved numerically using Runge-Kutta fourth-order accompanied by shooting technique.