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

  • Poulomi De
Article
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Abstract

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.

Keywords

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

Nomenclature

C

Species concentration

T

Temperature in the boundary layer

Cfx

Local skin-friction coefficient

Nux

Local Nusselt number

Shx

Local Sherwood number

C

Species concentration far away from the wall

T

Temperature of the fluid far away from the wall

Cp

Specific heat at constant pressure

D

Mass diffusivity

f

Dimensionless stream function

g

Acceleration due to gravity

h

Heat transfer coefficient

Gr, Gc

Grashof numbers due to temperature and concentration, respectively

mw

Mass flux per unit area of the plate

qw

Heat flux per unit area of the plate

Pr

Prandtl number

DB

Brownian diffusion coefficient

DT

Thermophoretic diffusion coefficient

Nb

Brownian motion parameter

Nt

Thermophoresis parameter

Le

Lewis number

M

Magnetic parameter

Sr

Soret number

Df

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

ψ

Stream function

Δ

Chemical reaction parameter

θ, φ

Dimensionless temperature and concentration, respectively

ρ

Density of the fluid

τ

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

μ

Dynamic viscosity of the fluid

η

Kinematic viscosity

Subscripts

C

Concentration

T

Temperature

w

Conditions at the wall

Free stream condition

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Copyright information

© 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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