A Study of Double Diffusive Free Convection From a Corrugated Vertical Surface in a Darcy Porous Medium Under Soret and Dufour effects

2011 ◽  
Vol 133 (9) ◽  
Author(s):  
S.V.S.S.N.V.G. Krishna Murthy ◽  
B.V. Rathish Kumar ◽  
Peeyush Chandra ◽  
Vivek Sangwan ◽  
Mohit Nigam
Keyword(s):  
Boundary Layer ◽  
Porous Medium ◽  
Free Convection ◽  
Nonlinear Partial Differential Equations ◽  
Lewis Number ◽  
Boussinesq Approximation ◽  
Vertical Surface ◽  
Soret And Dufour Effects ◽  
Boundary Layer Equations ◽  
Double Diffusive

This study examines the influence of Soret and Dufour effects on double diffusive free convection due to wavy vertical surface immersed in a fluid saturated semi-infinite porous medium under Darcian assumptions. A wavy to flat surface transformation is applied, and the resulting coupled nonlinear partial differential equations under Boussinesq approximation are reduced to boundary layer equations. A finite difference scheme based on the Keller-Box approach has been used in conjunction with block-tridiagonal solver for obtaining the solution for boundary layer equations. Results from the current study are compared with those available in literature. The effect of various parameters such as wave amplitude (a), Lewis number (Le), buoyancy ratio (B), and Soret (Sr) and Dufour (Df) numbers are analyzed through local and average Nusselt number, and local and average Sherwood number plots.

DOUBLE DIFFUSIVE FREE CONVECTION ALONG A VERTICAL SURFACE IN A DOUBLY STRATIFIED POROUS MEDIUM WITH SORET AND DUFOUR EFFECTS UNDER MHD FORCES

2017 ◽  
Vol 20 (10) ◽  
pp. 865-879
Author(s):  
S.V.S.S.N.V.G. Krishna Murthy ◽  
Frédéric Magoulès ◽  
B. V. Rathish Kumar ◽  
Vinay Kumar
Keyword(s):  
Porous Medium ◽  
Free Convection ◽  
Vertical Surface ◽  
Soret And Dufour Effects ◽  
Double Diffusive

scholarly journals Double Diffusive Convection in a Layer of Maxwell Viscoelastic Fluid in Porous Medium in the Presence of Soret and Dufour Effects

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Ramesh Chand ◽  
G. C. Rana
Keyword(s):  
Porous Medium ◽  
Rayleigh Number ◽  
Viscoelastic Fluid ◽  
Fluid Layer ◽  
Lewis Number ◽  
Double Diffusive Convection ◽  
Free Boundaries ◽  
Soret And Dufour Effects ◽  
Diffusive Convection ◽  
Double Diffusive

Double diffusive convection in a horizontal layer of Maxwell viscoelastic fluid in a porous medium in the presence of temperature gradient (Soret effects) and concentration gradient (Dufour effects) is investigated. For the porous medium Darcy model is considered. A linear stability analysis based upon normal mode technique is used to study the onset of instabilities of the Maxwell viscolastic fluid layer confined between two free-free boundaries. Rayleigh number on the onset of stationary and oscillatory convection has been derived and graphs have been plotted to study the effects of the Dufour parameter, Soret parameter, Lewis number, and solutal Rayleigh number on stationary convection.

An Integral Treatment for Dissipative Boundary Layer Flow along a Radiating Vertical Surface by Natural Convection in a Porous Medium

2017 ◽  
Vol 11 ◽  
pp. 191-207 ◽  
Author(s):  
Shoeb R. Sayyed ◽  
B.B. Singh ◽  
Nasreen Bano
Keyword(s):  
Boundary Layer ◽  
Porous Medium ◽  
Natural Convection ◽  
Radiation Effects ◽  
Lewis Number ◽  
Vertical Surface ◽  
Integral Treatment ◽  
Layer Flow ◽  
Dissipative Boundary ◽  
Local Sherwood Number

In the present study, an integral method of Von Karman type has been used to analyse the phenomenon of natural convection heat and mass transfer near a vertical surface embedded in a fluidsaturated porous medium considering the viscous dissipation and radiation effects. The buoyancy effect is due to the variation of temperature and concentration across the boundary layer. The effects of the governing parameters e.g. buoyancy ratio (N), Lewis number (Le), Eckert number (Ec) and radiation parameter (R) on local Nusselt number, local Sherwood number, velocity profile, temperature profile and concentration profile have been investigated. The results obtained in the present analysis have been compared with the published results available in the literature and they have been found in precise agreement.

scholarly journals Transient MHD Double-Diffusive Natural Convection over a Vertical Surface Embedded in a Non-Darcy Porous Medium

2009 ◽  
Vol 2009 ◽  
pp. 1-12 ◽  
Author(s):  
Mohammed Q. Al-Odat ◽  
Tariq A. Al-Azab ◽  
M. Al-Hasan ◽  
B. A. Shannak
Keyword(s):  
Porous Medium ◽  
Mass Flux ◽  
Lewis Number ◽  
Vertical Surface ◽  
Transfer Coefficients ◽  
Constant Wall Temperature ◽  
Flux Parameter ◽  
Inertial Coefficient ◽  
Buoyancy Ratio ◽  
Double Diffusive

The problem of transient, laminar, MHD double-diffusive free convection over a permeable vertical plate embedded in Darcy and non-Darcy porous medium is numerically investigated. Nonsimilarity solutions are obtained for constant wall temperature and concentration with a specified power law of mass flux parameter. The effects of the magnetic parameter, the inertial coefficient, Lewis number, the buoyancy ratio, and the lateral mass flux on heat and mass transfer coefficients are presented and discussed.

scholarly journals Fem Simulation of Triple Diffusive Natural Convection Along Inclined Plate in Porous Medium: Prescribed Surface Heat, Solute and Nanoparticles Flux

2017 ◽  
Vol 22 (4) ◽  
pp. 883-900 ◽  
Author(s):  
M. Goyal ◽  
R. Goyal ◽  
R. Bhargava
Keyword(s):  
Porous Medium ◽  
Natural Convection ◽  
Volume Fraction ◽  
Fem Simulation ◽  
Lewis Number ◽  
Vertical Surface ◽  
Inclined Plate ◽  
Cross Diffusion ◽  
Boundary Layer Equations ◽  
Wide Range

Abstract In this paper, triple diffusive natural convection under Darcy flow over an inclined plate embedded in a porous medium saturated with a binary base fluid containing nanoparticles and two salts is studied. The model used for the nanofluid is the one which incorporates the effects of Brownian motion and thermophoresis. In addition, the thermal energy equations include regular diffusion and cross-diffusion terms. The vertical surface has the heat, mass and nanoparticle fluxes each prescribed as a power law function of the distance along the wall. The boundary layer equations are transformed into a set of ordinary differential equations with the help of group theory transformations. A wide range of parameter values are chosen to bring out the effect of buoyancy ratio, regular Lewis number and modified Dufour parameters of both salts and nanofluid parameters with varying angle of inclinations. The effects of parameters on the velocity, temperature, solutal and nanoparticles volume fraction profiles, as well as on the important parameters of heat and mass transfer, i.e., the reduced Nusselt, regular and nanofluid Sherwood numbers, are discussed. Such problems find application in extrusion of metals, polymers and ceramics, production of plastic films, insulation of wires and liquid packaging.

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