Abstract

The present article investigates the effect of multiple slips on axisymmetric magnetohydrodynamics (MHD) buoyant nano-fluid flow over a stretching sheet with radiation and chemical effect. The non-linear partial differential equations were transformed to a non-linear control equation using an appropriate similarity transformation. The governing equations were solved through the finite element method. The influence of physical parameters such as multiple slips, magnetic, thermal radiation, Prandtl number, stretching, Brownian motion, thermophoresis, Schmidt number, Lewis number and chemical reaction on the radial velocity, temperature, solutal concentration and nano-fluid volume fraction profile were investigated. We noted that the boundary layers increases in the presence of multiple slip effects whereas, the effect of thermal slip on Nusselt number increases with the increasing values of magnetic and thermal radiation. To verify the convergence of the numerical solution, the computations were made by reducing the mesh size. Finally, our results are parallel to previous scholarly contributions.

Highlights

  • The study of the hydromagnetics flow of non-Newtonian fluids related to nano-particles has attracted many mathematicians, physician, engineers and modelers due to numerous significant applications

  • The current study investigates the analysis of mass and heat transfer in the axisymmetric MHD nano-fluid flow over a stretching sheet in the presence of multiple slip conditions with buoyancy effect, chemical reaction and thermal radiation

  • Research goal of the current study was to identify the role of mass, heat transfer, chemical reaction and thermal radiation in the axisymmetric MHD boundary layer flow of nano-fluid in the presence of multiple slip effects over a stretching sheet

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Summary

Introduction

The study of the hydromagnetics flow of non-Newtonian fluids related to nano-particles has attracted many mathematicians, physician, engineers and modelers due to numerous significant applications. Steady 2-D MHD free convective boundary-layer flows of an electrically conducting nano-fluid over a non-linear stretching sheet, taking into account the chemical reaction and heat source/sink, was investigated by D. To the author’s best knowledge, no previous studies have far examined the multiple slips on hydromagnetics axisymmetric nano-fluid steady flow, heat and mass transfer influenced by radiation, buoyancy and chemical effect in a permeable frame of reference. The current study investigates the analysis of mass and heat transfer in the axisymmetric MHD nano-fluid flow over a stretching sheet in the presence of multiple slip conditions with buoyancy effect, chemical reaction and thermal radiation. The present results are compared with those of published papers [31,32,33] and found a good agreement

Mathematical Formulation
Finite Element Method Solutions
Variational Formulations
Finite Element Formulations
F42 S b4
Results and Discussion
Conclusions
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