## Thermo-diffusion effects on MHD flow towards an exponentially Stretching Sheet in a nanofluid using FEM
## 摘要The present paper aims at investigating the two-dimensional hydromagnetic boundary layer flow of a nanofluid accompanied by heat and mass transfer over an exponentially stretching surface in presence of thermo-diffusion effects. In this model, where binary nanofluid is used, the Brownian motion, thermophoresis and cross-diffusion are classified as the main mechanisms responsible for the enhancement of the convection features of the nanofluid. Galerkin finite element method (FEM) is used to solve the system of equations. The effects of the magnetic parameter, modified Dufour number, regular Lewis number and Dufour Lewis number on the fluid properties as well as on the heat, regular and nano mass transfer coefficients are determined and shown graphically. It is found that momentum and thermal boundary layer thickness decrease with increasing exponential parameter. Increasing the values of the magnetic parameter leads to a decrease of the velocity profiles and to an increase of the thermal and concentration profiles for fixed values of the other parameters. It is also observed that with the inclusion of nanoparticles and salt in the base fluid, there is an enhancement in the heat transfer rate. The present study finds application in field of extrusion where the quality of desired product depends on the stretching rate, external magnetic field and composition of material used and has been discussed in detail. |

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