Abstract

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.

Highlights

  • Many fluids correspond to industrial and engineering applications cannot be treated through Navier–Stokes equations

  • Maxwell fluid includes in a simple class of fluids termed as rate type fluids

  • Imran et al.[6] described the variation of Newtonian heating and velocity slip on MHD Maxwell fluid flow through vertical sheet which is accelerated exponentially

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Summary

Introduction

Many fluids correspond to industrial and engineering applications cannot be treated through Navier–Stokes equations. Keywords Maxwell nano-fluid, squeezing flow, magnetic field effects, thermal and solutal stratification, convective boundary conditions Imran et al.[6] described the variation of Newtonian heating and velocity slip on MHD Maxwell fluid flow through vertical sheet which is accelerated exponentially.

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