Numerical treatment for fluidic system of activation energy with non-linear mixed convective and radiative flow of magneto nanomaterials with Navier’s velocity slip

Iftikhar Uddin,Muhammad Asif Zahoor Raja,Saeed Islam,Zhu Zhiyu,Muhammad Shoaib,Muhammd Abdul Rehman Khan,Rizwan Akhtar

doi:10.1063/1.5099030

Abstract

A novel application of Lobatto IIIA computing solver is presented for the solution of nanofluidic Buongiorno model in the porous space. Incompressible electrically conducting fluid mixed with nanomaterial is considered. Flow expression is modelled via nonlinear mixed convection and Navier’s slip condition. Activation energy, Joule heating and non-liner thermal radiation characterise the heat/mass transport. The governing PDEs of the considered problem are transformed into an equivalent system of ODEs using similarity variables. The resulting system is solved numerically by exploiting the strength of Lobatto IIIA computing solver. Numerical and graphical illustrations are utilized to interpret the behaviour of sundry physical parameters on velocity, concentration and temperature profiles. Skin friction, temperature and concentration gradients for different scenarios of embedding variables are tabulated and analysed. Furthermore, numerical data for mesh points, error analysis, ODEs and boundary conditions evaluation are also displayed. Our computed analysis indicates that velocity of nanofluid increases for large value of slip parameter while it decreases with the increase of porosity parameter. In addition, concentration distribution is decaying and increasing functions of chemical reaction and activation energy parameters respectively.

Highlights

The dispersion of nano-meter sized metallic particles (Ti, Cu, Hg, Ag etc.) or non-metallic particles (TiO2, CuO, SiO2 etc.) in the traditional fluids is termed as nanofluid
The aforementioned studies motivate us to explore the features of unsteady flow of nanofluid with Navier’s slip condition and activation energy via porous medium
● A novel numerical study through Lobatto IIIA technique is presented for the dynamics of MHD 2D flow of nanofluid in porous medium considering the activation energy, nonlinear mixed convection and Navier’s slip condition

Summary

INTRODUCTION

The dispersion of nano-meter sized metallic particles (Ti, Cu, Hg, Ag etc.) or non-metallic particles (TiO2, CuO, SiO2 etc.) in the traditional fluids is termed as nanofluid. Some important applications regarding nanoparticles are manufacturing of rubber, hot rolling, manufacturing of plastic sheets and extraction of geothermal energy etc It was Choi, who initiated the term nanofluid. Scitation.org/journal/adv through porous medium along with magnetic field effect has efficient impact on mass transfer as well as thermal conductivity Owing to such importance, Chamka worked out on fluid flow over inclined plate with medium of variable porosity and free convection. The aforementioned studies motivate us to explore the features of unsteady flow of nanofluid with Navier’s slip condition and activation energy via porous medium. ● A novel numerical study through Lobatto IIIA technique is presented for the dynamics of MHD 2D flow of nanofluid in porous medium considering the activation energy, nonlinear mixed convection and Navier’s slip condition. Rest of the manuscript is presented as follows: Mathematical model of the problem is presented in Section II, in Section III, graphical and tabulated results are provided, while the concluding points along with future research work are provided in the last section of the manuscript

MATHEMATICAL DEVELOPMENT

RESULTS AND DISCUSSIONS

CONCLUSIONS