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

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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.

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Abbreviations

C :

Species concentration

T :

Temperature in the boundary layer

C fx :

Local skin-friction coefficient

Nu x :

Local Nusselt number

Sh x :

Local Sherwood number

C ∞ :

Species concentration far away from the wall

T ∞ :

Temperature of the fluid far away from the wall

C p :

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

m w :

Mass flux per unit area of the plate

q w :

Heat flux per unit area of the plate

Pr:

Prandtl number

D B :

Brownian diffusion coefficient

D T :

Thermophoretic diffusion coefficient

Nb :

Brownian motion parameter

Nt :

Thermophoresis parameter

Le :

Lewis number

M :

Magnetic parameter

Sr :

Soret number

D f :

Dufour number

u, v :

Velocity component in the x and y directions

x, y :

Flow directional coordinate and normal to the stretching sheet

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

C :

Concentration

T :

Temperature

w :

Conditions at the wall

∞:

Free stream condition

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Authors and Affiliations

  1. Division of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai, Tamil Nadu, 600127, India

    Poulomi De

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  1. Poulomi De
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De, P. Soret-Dufour Effects on Unsteady Flow of Convective Eyring-Powell Magneto Nanofluids over a Semi-Infinite Vertical Plate. BioNanoSci. 9, 7–12 (2019). https://doi.org/10.1007/s12668-018-0583-7

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  • DOI: https://doi.org/10.1007/s12668-018-0583-7

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