Soret-Dufour Effects on Unsteady Flow of Convective Eyring-Powell Magneto Nanofluids over a Semi-Infinite Vertical Plate

  • Poulomi DeEmail author


The aim of this paper is to study a two-dimensional free convective flow of Eyring-Powell Magneto nanofluid involving collective effects of thermal and mass diffusion with Soret-Dufour effects. The governing equations of the linear momentum, energy equation, and concentration are converted into non-dimensional non-linear ordinary differential equations with the facilitation of suitable group of similarity transformation. The transformed non-linear ordinary differential equations become coupled and numerically solved using the fifth-order Runge-Kutta-Fehlberg method in conjunction with the shooting technique by fitting proper boundary conditions. Computations are performed for many values of different governing parameters influencing the velocity, temperature, and concentration distributions, and obtained results are comprehensively analyzed.


Free convective flow Eyring-Powell Magneto nanofluids Soret-Dufour effects Unsteady flow 



Species concentration


Temperature in the boundary layer


Local skin-friction coefficient


Local Nusselt number


Local Sherwood number


Species concentration far away from the wall


Temperature of the fluid far away from the wall


Specific heat at constant pressure


Mass diffusivity


Dimensionless stream function


Acceleration due to gravity


Heat transfer coefficient

Gr, Gc

Grashof numbers due to temperature and concentration, respectively


Mass flux per unit area of the plate


Heat flux per unit area of the plate


Prandtl number


Brownian diffusion coefficient


Thermophoretic diffusion coefficient


Brownian motion parameter


Thermophoresis parameter


Lewis number


Magnetic parameter


Soret number


Dufour number

u, v

Velocity component in the x and y directions

x, y

Flow directional coordinate and normal to the stretching sheet

Greek Symbols


Stream function


Chemical reaction parameter

θ, φ

Dimensionless temperature and concentration, respectively


Density of the fluid


Ratio of effective heat capacity of the nanoparticle to the effective heat capacity of the fluid


Dynamic viscosity of the fluid


Kinematic viscosity







Conditions at the wall

Free stream condition


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Division of Mathematics, School of Advanced SciencesVellore Institute of TechnologyChennaiIndia

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