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

Nonlinear engineering: Modeling and application

article

Wubshet Ibrahim¹  Bullo Hindebu² 

[1] Department of mathematics, Ambo University;Department of Applied Mathematics, Adama Science and Technology University

关键词: MHD;    Eyring-Powell fluid;    Stretching cylinder;    Cattaneo-Christov heat flux model;   

DOI  :  10.1515/nleng-2017-0167

来源: De Gruyter

【 摘 要 】

This 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 parameter M and the curvature parameter γ increase but it decreases as the magnetic parameter Ha increases. Both the temperature and the concentration profiles have revealed an increment pattern for large values of the magnetic parameter Ha and the thermophoresis parameter N t but a decrement manner with increasing values of the Eyring-Powell fluid parameter M . The Brownian motion parameter N b has 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 parameter M , magnetic parameter Ha . Besides, it is found that both the local Nusselt number Nu x and the local Sherwood number Sh x are higher for large vales of Eyring-Powell fluid parameter M and curvature parameter γ . 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.

【 授权许可】

Unknown