ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

# 多孔介质期刊

DOI: 10.1615/JPorMedia.v17.i7.50
pages 623-636

## SORET AND DUFOUR EFFECTS ON DOUBLE DIFFUSIVE CONVECTIVE FLOWTHROUGH A NON-DARCY POROUS MEDIUM IN A CYLINDRICAL ANNULAR REGION IN THE PRESENCE OF HEAT SOURCES

B. Mallikarjuna
Department of Mathematics, Jawaharlal Nehru Technological University Anantapur, Anantapur, Andhrapradesh 515002, India
Ali J. Chamkha
Department of Mechanical Engineering, Prince Sultan Endowment for Energy and Environment, Prince Mohammad Bin Fahd University, Al-Khobar 31952, Kingdom of Saudi Arabia; RAK Research and Innovation Center, American University of Ras Al Khaimah, United Arab Emirates, 10021
R. Bhuvana Vijaya
Department of Mathematics, Jawaharlal Nehru Technological University Anantapur, Anantapur, Andhrapradesh 515002, India

### ABSTRACT

This article considers the combined influence of Soret and Dufour effects on convective heat and mass transfer flow of a viscous electrically conducting fluid through a porous medium confined in an annular region between the cylinders r = a and r = b in the presence of heat-generating sources. The governing equations of flow, heat, and mass transfer are solved by employing the Galerkin finite element analysis. The accuracy of the numerical method is validated by a direct comparison with previously published work. Numerical results for the velocity, temperature, and concentration distributions as well as the Nusselt number and the Sherwood number at r = 1 and r = 2 for various parametric values of the Soret and Dufour numbers, heat source/sink parameter, Forchheimer inertia parameter, and the chemical reaction are reported graphically and discussed. It is found that the velocity, temperature, and concentration profiles increase as the inertial parameter increases. Also, increasing either of the Soret and Dufour parameters, heat source/sink parameter, or the chemical reaction parameters causes the velocity profiles to increase while the temperature and concentration profiles decrease.

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