Journal of Applied Mathematics

Soret and Dufour Effects on Natural Convection Flow Past a Vertical Surface in a Porous Medium with Variable Viscosity

M. B. K. Moorthy and K. Senthilvadivu

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Abstract

The heat and mass transfer characteristics of natural convection about a vertical surface embedded in a saturated porous medium subject to variable viscosity are numerically analyzed, by taking into account the diffusion-thermo (Dufour) and thermal-diffusion (Soret) effects. The governing equations of continuity, momentum, energy, and concentrations are transformed into nonlinear ordinary differential equations, using similarity transformations, and then solved by using Runge-Kutta-Gill method along with shooting technique. The parameters of the problem are variable viscosity, buoyancy ratio, Lewis number, Prandtl number, Dufour effect, Soret effect, and Schmidt number. The velocity, temperature, and concentration distributions are presented graphically. The Nusselt number and Sherwood number are also derived and discussed numerically.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 634806, 15 pages.

Dates
First available in Project Euclid: 17 October 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1350479350

Digital Object Identifier
doi:10.1155/2012/634806

Mathematical Reviews number (MathSciNet)
MR2880824

Zentralblatt MATH identifier
1235.76180

Citation

Moorthy, M. B. K.; Senthilvadivu, K. Soret and Dufour Effects on Natural Convection Flow Past a Vertical Surface in a Porous Medium with Variable Viscosity. J. Appl. Math. 2012 (2012), Article ID 634806, 15 pages. doi:10.1155/2012/634806. https://projecteuclid.org/euclid.jam/1350479350


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