Magnetohydrodynamic(MHD) Boundary Layer Flow of Eyring-Powell Nanofluid Past Stretching Cylinder With Cattaneo-Christov Heat Flux Model

Wubshet Ibrahim,Bullo Hindebu

doi:10.1515/nleng-2017-0167

Abstract

AbstractThis study analyzed the MHD boundary layer flow of Eyring-Powell nanofluid past stretching cylinder with Cattaneo-Christov heat flux model. The governing non-linear partial differential equations corresponding to the momentum, energy and concentration have been formulated and transformed into a set of non-linear ordinary differential equations by using similarity transformations. Then the resulting non-linear high order ordinary differential equations of momentum, energy and concentration, subjected to boundary conditions were solved numerically by utilizing the second-order accurate implicit finite difference method known as Keller-Box which is programmed in the MATLABR2017b software. The results indicated that the velocity profile increases as the Eyring-Powell fluid parameterMand the curvature parameterγincrease but it decreases as the magnetic parameterHaincreases. Both the temperature and the concentration profiles have revealed an increment pattern for large values of the magnetic parameterHaand the thermophoresis parameterNtbut a decrement manner with increasing values of the Eyring-Powell fluid parameterM. The Brownian motion parameterNbhas shown an opposite influence on the temperature and the concentration profiles. The results also depicted that the local skin friction coefficient increases with increasing in Eyring-Powell fluid parameterM, magnetic parameterHa. Besides, it is found that both the local Nusselt numberNuxand the local Sherwood numberShxare higher for large vales of Eyring-Powell fluid parameterMand curvature parameterγ. Furthermore, the present results for the local skin friction coefficient, the local Nusselt number and the local Sherwood number are validated with the data of previously published literature for various limiting conditions where a very sound agreement has been attained.

Highlights

For the past several years, the investigation of boundary layer ows due to a stretching cylinder as well as the associated heat and mass transfer attributes has got a great considerations by a number of scholars due to its immense applications in engineering and industrial processes
The governing non-linear partial di erential equations corresponding to the momentum, energy and concentration have been formulated and transformed into a set of non-linear ordinary di erential equations by using similarity transformations
The resulting non-linear high order ordinary di erential equations of momentum, energy and concentration, subjected to boundary conditions were solved numerically by utilizing the second-order accurate implicit nite di erence method known as Keller-Box which is programmed in the MATLABR2017b software

Summary

Introduction

For the past several years, the investigation of boundary layer ows due to a stretching cylinder as well as the associated heat and mass transfer attributes has got a great considerations by a number of scholars due to its immense applications in engineering and industrial processes. Abstract: This study analyzed the MHD boundary layer ow of Eyring-Powell nano uid past stretching cylinder with Cattaneo-Christov heat ux model.

Results

Conclusion