THERMAL SCIENCE

International Scientific Journal

DOUBLE-DIFFUSIVE NATURAL CONVECTION IN A CAVITY WITH AN INNER CYLINDER WRAPPED BY A POROUS LAYER

ABSTRACT
This paper reports a numerical study of double-diffusive natural convection through an annular space delimited by a square cylinder on the outside and a cylindrical cylinder on the inside covered by a porous layer. The Darcy-Brinkmann-Forchheimer is used for modeling flow in both fluid and porous areas. The annular space is partially or completely filled with an isotropic porous medium. A finite volume method, using the Patankar-Spalding technique is used for solving the discretization of the dimensionless equations governing the problem. The effects of simultaneously applied thermal and solutal buoyancy forces on heat and mass transfer are shown in the results for a large range of buoyancy ratios, Rayleigh number, and thermal conductivity. Streamlines, isotherms, and iso-concentrations are presented to analyze the flow structure transition from mass species dominated to thermal dominated flow. Results show that the buoyancy ratio can change the flow pattern and the increased thermal conductivity ratio can improve heat and mass transfer. A good agreement was obtained between the present results and those published were found.
KEYWORDS
PAPER SUBMITTED: 2021-02-15
PAPER REVISED: 2021-04-19
PAPER ACCEPTED: 2021-04-21
PUBLISHED ONLINE: 2021-06-05
DOI REFERENCE: https://doi.org/10.2298/TSCI201112202M
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Issue 2, PAGES [1841 - 1853]
REFERENCES
  1. Combarnous, M., Bories, S., Hydrothermal convection in saturated porous media, Advances in hydroscience, 10 (1975), pp. 231-307
  2. Nield, D. A., Bejan, A., Convection in porous media, Springer, 2006.
  3. Valipour, M. S., et al., Magnetohydrodynamics flow and heat transfer around a solid cylinder wrapped with a porous ring, Journal of Heat Transfer, 136 (2014), 6, pp. 062601
  4. Yang, M., Ma, N., Free convection in a liquid-encapsulated molten semiconductor in a vertical magnetic field, International Journal of Heat and Mass Transfer, 48 (2005), 19, pp. 4010-4018
  5. Vijaya Venkata Raman, S., et al., A review of solar drying technologies, Renewable and sustainable energy reviews, 16 (2012), 5, pp. 2652-2670
  6. Boričić, A. Z., et al., MHD effects on unstedy dynamic, thermal and diffusion boundary layer flow over a horizontal circular cylinder, Thermal Science, 16 (2012), suppl. 2, pp. 311-321
  7. Lee, J. W., Hyun, J. M., Double-diffusive convection in a rectangle with opposing horizontal temperature and concentration gradients, International Journal of Heat and Mass Transfer, 33 (1990), 8, pp. 1619-1632
  8. Doghmi, H., et al., Three-dimensional mixed convection heat transfer in a partially heated ventilated cavity, Thermal Science, 24 (2020), 3 Part B, pp. 1895-1907
  9. Bejan, A., Khair, K. R., Heat and mass transfer by natural convection in a porous medium, International Journal of Heat and Mass Transfer, 28 (1985), 5, pp. 909-918
  10. Lai, F., Kulacki, F., Non-Darcy mixed convection along a vertical wall in a saturated porous medium, Journal of Heat Transfer, 113 (1991), 1, pp. 252-255
  11. Chamkha, A. J., Khaled, A.-R. A., Hydromagnetic coupled heat and mass transfer by natural convection from a permeable constant heat flux surface in porous media, Journal of Porous Media, 3 (2000), 3, pp. 259-266
  12. Kamotani, Y., et al., Experimental study of natural convection in shallow enclosures with horizontal temperature and concentration gradients, International Journal of Heat and Mass Transfer, 28 (1985), 1, pp. 165-173
  13. Thevenin, J., Sadaoui, D., About enhancement of heat transfer over a circular cylinder embedded in a porous medium, International Communications in Heat and Mass Transfer, 22 (1995), 2, pp. 295-304
  14. Thejaraju, R., et al., Numerical evaluation of thermo-hydraulic performance index of a double pipe heat exchanger using double sided louvered winglet tape, Journal of Thermal Engineering, 6 (2020), 5, pp. 843-857
  15. Ren, W., et al., Boundary condition-enforced immersed boundary method for thermal flow problems with Dirichlet temperature condition and its applications, Computers & Fluids, 57 (2012), pp. 40-51
  16. Sayehvand, H.-O., et al., Numerical analysis of forced convection heat transfer from two tandem circular cylinders embedded in a porous medium, Thermal Science, 21 (2017), 5, pp. 2117-2128
  17. Hu, Y., et al., Immersed boundary-lattice Boltzmann simulation of natural convection in a square enclosure with a cylinder covered by porous layer, International Journal of Heat and Mass Transfer, 92 (2016), pp. 1166-1170
  18. Al-Salem, K., et al., Effects of porosity and thickness of porous sheets on heat transfer enhancement in a cross flow over heated cylinder, International Communications in Heat and Mass Transfer, 38 (2011), 9, pp. 1279-1282
  19. Saada, M. A., et al., Natural convection around a horizontal solid cylinder wrapped with a layer of fibrous or porous material, International Journal of Heat and Fluid Flow, 28 (2007), 3, pp. 483-495
  20. Moderres, M., et al., Numerical investigation of double-diffusive mixed convection in horizontal annulus partially filled with a porous medium, International Journal of Numerical Methods for Heat & Fluid Flow, 2017,
  21. Khemici, M., et al., Numerical study of developing laminar mixed convection in a heated annular duct with temperature dependent properties, Thermal Science, 23 (2019), 6 Part A, pp. 3411-3423
  22. Patankar, S., Numerical heat transfer and fluid flow, CRC press, 1980.
  23. Ferziger, J. H., Peric, M., Computational methods for fluid dynamics, Springer Science & Business Media, 2012.

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence