scholarly journals Heat and Mass Transfer for MHD Viscoelastic Fluid Flow over a Vertical Stretching Sheet with Considering Soret and Dufour Effects

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
Mohammad Mehdi Rashidi ◽  
Mohamed Ali ◽  
Behnam Rostami ◽  
Peyman Rostami ◽  
Gong-Nan Xie
Keyword(s):  
Mass Transfer ◽  
Fluid Flow ◽  
Heat And Mass Transfer ◽  
Viscoelastic Fluid ◽  
Differential Forms ◽  
Two Dimensional ◽  
Soret And Dufour Effects ◽  
Highly Nonlinear ◽  
Soret Number ◽  
Dufour Number

The homotopy analysis method (HAM) with two auxiliary parameters is employed to examine heat and mass transfer in a steady two-dimensional magneto hydrodynamic viscoelastic fluid flow over a stretching vertical surface by considering Soret and Dufour effects. The two-dimensional boundary-layer governing partial differential equations are derived by considering the Boussinesq approximation. The highly nonlinear ordinary differential forms of momentum, energy, and concentration equations are obtained by similarity transformation. These equations are solved analytically in the presence of buoyancy force. The effects of different involved parameters such as magnetic field parameter, Prandtl number, buoyancy parameter, Soret number, Dufour number, and Lewis number on velocity, temperature, and concentration profiles are plotted and discussed. The effect of the second auxiliary parameter is also illustrated. Results show that the effect of increasing Soret number or decreasing Dufour number tends to decrease the velocity and temperature profiles (increase in Sr cools the fluid and reduces the temperature) while enhancing the concentration distribution.

Transient natural convention heat and mass transfer flow in a vertical channel in the presence of Soret and Dufour effects: An analytical approach

2020 ◽  
Vol 31 (02) ◽  
pp. 2050032
Author(s):  
Basant K. Jha ◽  
Yusuf Y. Gambo
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Vertical Channel ◽  
Soret And Dufour Effects ◽  
Velocity Increase ◽  
Grashof Number ◽  
Increase With Increase ◽  
Soret Number ◽  
Dufour Number ◽  
Transfer Flow

This paper presents an analytical solution for transient natural convection heat and mass transfer flow in a vertical channel with Soret and Dufour effects. Due to the presence of these two effects, energy and concentration equations are coupled. The dimensionless governing equations for momentum, energy and concentration are first decoupled using perturbation method and then solved using Laplace Transform Technique (LTT) under relevant initial and boundary conditions. The expressions for temperature, concentration, velocity, rate of heat transfer, rate of mass transfer and skin-friction are obtained. Numerical solutions are also obtained using pdepe in MATLAB so as to validate the accuracy of the proposed analytical method. The effects of Soret parameter, Dufour parameter, Grashof number, modified Grashof number, Prandtl number, Schmidt number and dimensionless time are presented graphically and discussed. It is observed that the temperature and velocity increase with increase in Dufour number, while concentration decreases with increase of Dufour number. The Dufour effect is more significant on the temperature and velocity in comparison to concentration. Moreover, it is observed that the concentration and velocity increase with increase in Soret number while the impact of Soret number is just contrast on temperature variation.

scholarly journals On the Influence of Soret and Dufour Effects on MHD Free Convective Heat and Mass Transfer Flow over a Vertical Channel with Constant Suction and Viscous Dissipation

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
Ime Jimmy Uwanta ◽  
Halima Usman
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Viscous Dissipation ◽  
Convective Heat ◽  
Vertical Channel ◽  
Skin Friction Coefficient ◽  
Physical Parameters ◽  
Soret And Dufour Effects ◽  
Constant Suction ◽  
Dufour Number

The present paper investigates the combined effects of Soret and Dufour on free convective heat and mass transfer on the unsteady one-dimensional boundary layer flow over a vertical channel in the presence of viscous dissipation and constant suction. The governing partial differential equations are solved numerically using the implicit Crank-Nicolson method. The velocity, temperature, and concentration distributions are discussed numerically and presented through graphs. Numerical values of the skin-friction coefficient, Nusselt number, and Sherwood number at the plate are discussed numerically for various values of physical parameters and are presented through tables. It has been observed that the velocity and temperature increase with the increase in the viscous dissipation parameter and Dufour number, while an increase in Soret number causes a reduction in temperature and a rise in the velocity and concentration.

scholarly journals Soret/Dufour Effects on Radiative Free Convection Flow and Mass Transfer over a Sphere with Velocity Slip and Thermal Jump

2018 ◽  
Vol 16 (9) ◽  
pp. 701-721
Author(s):  
Shalini JAIN ◽  
Shweta BOHRA
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Velocity Slip ◽  
Convection Flow ◽  
Soret And Dufour Effects ◽  
Thermal Buoyancy ◽  
Similarity Transformations ◽  
Linear Ode ◽  
Layer Flow ◽  
Dufour Number

In this paper, a steady free convective heat and mass transfer boundary layer flow of an electrically conducting viscous fluid from a sphere in a porous medium with thermal radiation is studied. Soret and Dufour effects, velocity slip, and thermal slip are considered at the boundary. The governing PDE is transformed into non-linear ODE using suitable similarity transformations and solved numerically using bvp4c solver of MATLAB. The effect of Schmidt number (Sc), concentration to thermal buoyancy ratio parameter (Nb), Dufour number (Du), Soret number (Sr), radiation parameter (N), permeability parameter (K), dimensionless velocity slip parameter (g), and dimensionless thermal jump parameter (j) on  velocity, temperature and concentration fields, skin friction, and heat and mass transfer rates are analyzed and presented through graphs and tables.

scholarly journals Thermo-Diffusion and Diffusion-Thermo Effects on MHD Free Convective Heat and Mass Transfer from a Sphere Embedded in a Non-Darcian Porous Medium

2012 ◽  
Vol 2012 ◽  
pp. 1-17 ◽  
Author(s):  
B. Vasu ◽  
V. R. Prasad ◽  
O. Anwar Bég
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Heat And Mass Transfer ◽  
Concentration Function ◽  
Suction Parameter ◽  
Soret Number ◽  
Implicit Finite Difference ◽  
Dufour Number ◽  
And Diffusion ◽  
Well Posed

The problem of combined heat and mass transfer by natural convection over a sphere in a homogenous non-Darcian porous medium subjected to uniform magnetic field is numerically studied, taking Soret/Dufour effects into account. The coupled, steady, and laminar partial differential conservation equations of mass, momentum, energy, and species diffusion are normalized with appropriate transformations. The resulting well-posed two-point boundary value problem is solved using the well-tested, extensively validated Keller-Box implicit finite difference method, with physically realistic boundary conditions. A parametric study of the influence of Soret number (Sr), Dufour number (Du), Forchheimer parameter (Λ), Darcy parameter (Da), buoyancy ratio parameter (), Prandtl number (Pr), Schmidt number (Sc), magnetohydrodynamic body force parameter (), wall transpiration () is the blowing/suction parameter, and streamwise variable (ξ) on velocity, temperature, and concentration function evolution in the boundary layer regime is presented. Shear stress, Nusselt number, and Sherwood number distributions are also computed. Applications of the study arise in hydromagnetic flow control of conducting transport in packed beds, magnetic materials processing, geophysical energy systems, and magnetohydrodynamic chromatography technology.

scholarly journals Analytical Investigation of Laminar Viscoelastic Fluid Flow over a Wedge in the Presence of Buoyancy Force Effects

2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
B. Rostami ◽  
M. M. Rashidi ◽  
P. Rostami ◽  
E. Momoniat ◽  
N. Freidoonimehr
Keyword(s):  
Fluid Flow ◽  
Prandtl Number ◽  
Viscoelastic Fluid ◽  
Wedge Angle ◽  
Two Dimensional ◽  
Viscoelastic Parameter ◽  
Temperature Distributions ◽  
Buoyancy Parameter ◽  
Highly Nonlinear ◽  
Energy Equations

An analytical strong method, the homotopy analysis method (HAM), is employed to study the mixed convective heat transfer in an incompressible steady two-dimensional viscoelastic fluid flow over a wedge in the presence of buoyancy effects. The two-dimensional boundary-layer governing partial differential equations (PDEs) are derived by the consideration of Boussinesq approximation. By the use of similarity transformation, we have obtained the ordinary differential nonlinear (ODE) forms of momentum and energy equations. The highly nonlinear forms of momentum and energy equations are solved analytically. The effects of different involved parameters such as viscoelastic parameter, Prandtl number, buoyancy parameter, and the wedge angle parameter, which is related to the exponentmof the external velocity, on velocity and temperature distributions are plotted and discussed. An excellent agreement can be seen between the results and the previously published papers forf′′(0)andθ′(0)in some of the tables and figures of the paper for velocity and temperature profiles for various values of viscoelastic parameter and Prandtl number. The effects of buoyancy parameter on the velocity and temperature distributions are completely illustrated in detail.

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