Magnetohydrodynamic flow of squeezed Maxwell nano-fluid with double stratification and convective conditions

This article is made to discuss the effect of magnetohydrodynamic on squeezing flow of the nanoparticles between two confined boundaries. Constitutive expressions are utilized for convectively heated Maxwell nano-fluid using Buongiorno's model in the mathematical development of considered flow problem. Here system of transport equations incorporates the combined impacts of thermophoresis diffusion, Brownian diffusion, and double stratification. Non-linear coupled ordinary differential equations are transformed by employing suitable similar transformations. The formulated non-linear system is evaluated successfully via convergent approach, that is, Homotopy analysis method. The graphical analysis is carried out for different active physical flow parameters. Nusselt and Sherwood numbers are also treated graphically. The results portray that the velocity profile shows cross flow behavior for increasing values of material parameter. Moreover, for dominant values of Biot number, convective effects dominant on plate surface and help the temperature and nanoparticles concentration to increase rapidly near the surface.