Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 72, 2017 - Issue 7
220
Views
11
CrossRef citations to date
0
Altmetric
Original Articles

Numerical investigation of coupled natural convection and radiation in a differentially heated cubic cavity filled with humid air. Effects of the cavity size

, &
Pages 495-518 | Received 27 Jun 2017, Accepted 11 Sep 2017, Published online: 23 Oct 2017

References

  • G. De, Vahl Davis and I. P. Jones, “Natural convection in a square cavity: A comparison exercise,” Int. J. Numer. Methods Fluids, vol. 3, no. 3, pp. 227–248, May 1983. doi: 10.1002/fld.1650030304.
  • P. Le Quéré, “Accurate solutions to the square thermally driven cavity at high rayleigh number,” Comput. Fluids, vol. 20, no. 1, pp. 29–41, January 1991. doi: 10.1016/0045-7930(91)90025-D.
  • D. W. Larson and R. Viskanta, “Transient combined laminar free convection and radiation in a rectangular enclosure,” J. Fluid Mech., vol. 78, no. 1, p. 65, November 1976. doi: 10.1017/S0022112076002334.
  • H. F. Nouanegue, A. Muftuoglu, and E. Bilgen, “Heat transfer by natural convection, conduction and radiation in an inclined square enclosure bounded with a solid wall,” Int. J. Therm. Sci., vol. 48, no. 5, pp. 871–880, May 2009. doi: 10.1016/j.ijthermalsci.2008.06.008.
  • H. Sun, E. Chénier, and G. Lauriat, “Effect of surface radiation on the breakdown of steady natural convection flows in a square, air-filled cavity containing a centered inner body,” Appl. Therm. Eng., vol. 31, nos. 6–7, pp. 1252–1262, May 2011. doi: 10.1016/j.applthermaleng.2010.12.028.
  • G. Lauriat, “Combined radiation-convection in gray fluids enclosed in vertical cavities,” J. Heat Transfer, vol. 104, no. 4, p. 609, 1982. doi: 10.1115/1.3245175.
  • A. Yucel, S. Acharya, and M. L. Williams, “Natural convection and radiation in a square enclosure,” Numer. Heat Transfer, Part A Appl., vol. 15, no. 2, pp. 261–278, March 1989. doi: 10.1080/10407788908944688.
  • K. Lari and M. Baneshi, S. A. Gandjalikhan Nassab, A. Komiya, and S. Maruyama, “Combined heat transfer of radiation and natural convection in a square cavity containing participating gases,” Int. J. Heat Mass Transfer, vol. 54, nos. 23–24, pp. 5087–5099, November 2011. doi: 10.1016/j.ijheatmasstransfer.2011.07.026.
  • G. Colomer, R. Cònsul, and A. Oliva, “Coupled radiation and natural convection: Different approaches of the slw model for a non-gray gas mixture,” J. Quant. Spectrosc. Radiat. Transfer, vol. 107, no. 1, pp. 30–46, September 2007. doi: 10.1016/j.jqsrt.2006.12.011.
  • M. N. Borjini, H. Ben Aissia, K. Halouani, and B. Zeghmati, “Effect of radiative heat transfer on the three-dimensional boyancy flow in cubic enclosure heated from the side,” Int. J. Heat Fluid Flow, vol. 29, no. 1, pp. 107–118, February 2008. doi: 10.1016/j.ijheatfluidflow.2007.07.012.
  • P. Kumar and V. Eswaran, “A numerical simulation of combined radiation and natural convection in a differential heated cubic cavity,” J. Heat Transfer, vol. 132, no. 2, p. 023501, 2010. doi: 10.1115/1.4000180.
  • V. Borget, F. Bdéoui, A. Soufiani, and P. Le, Quéré, “The transverse instability in a differentially heated vertical cavity filled with molecular radiating gases. i. linear stability analysis,” Phys. Fluids, vol. 13, no. 5, p. 1492, 2001. doi: 10.1063/1.1358309.
  • A. Ibrahim, D. Saury, and D. Lemonnier, “Coupling of turbulent natural convection with radiation in an air-filled differentially-heated cavity at Ra = 1.5 × 109,” Comput. Fluids, vol. 88, pp. 115–125, December 2013. doi: 10.1016/j.compfluid.2013.09.006.
  • S. Laouar-Meftah, M. Cherifi, D. Lemonnier, and A. Benbrik, “Gas radiation effects on opposing double-diffusive convection in a non-gray air-H2O mixture,” Int. J. Therm. Sci., vol. 77, pp. 38–46, March 2014. doi: 10.1016/j.ijthermalsci.2013.10.004.
  • M. Cherifi, S. Laouar-Meftah, A. Benbrik, D. Lemonnier, and D. Saury, “Interaction of radiation with double-diffusive natural convection in a three-dimensional cubic cavity filled with a non-gray gas mixture in cooperating cases,” Numer. Heat Transfer, Part A Appl., vol. 69, no. 5, pp. 479–496, 2016. doi: 10.1080/10407782.2015.1090233.
  • L. Soucasse, Ph. Rivière, and A. Soufiani, “Natural convection in a differentially heated cubical cavity under the effects of wall and molecular gas radiation at rayleigh numbers up to 3 × 109,” Int. J. Heat Fluid Flow, vol. 61, Part B, pp. 510–530, 2016. doi: 10.1016/j.ijheatfluidflow.2016.06.012.
  • T. Kogawa, J. Okajima, A. Sakurai, A. Komiya, and S. Maruyama, “Influence of radiation effect on turbulent natural convection in cubic cavity at normal temperature atmospheric gas,” Int. J. Heat Mass Transfer, vol. 104, pp. 456–466, 2017. doi: 10.1016/j.ijheatmasstransfer.2016.08.059.
  • S. Labrosse, J.-P. Poirier, and J.-L. Le Mouël, “On cooling of the earth’s core,” Phys. Earth Planet. Inter., vol. 99, nos. 1–2, pp. 1–17, January 1997. doi: 10.1016/S0031-9201(96)03207-4.
  • B. Gebhart, Buoyancy-Induced Flows and Transport. Washington, DC: Hemisphere Pub. Corp., 1988.
  • M. K. Denison and B. W. Webb, “A spectral line-based weighted-sum-of-gray-gases model for arbitrary RTE solvers,” J. Heat Transfer, vol. 115, no. 4, p. 1004, 1993a. doi: 10.1115/1.2911354.
  • M. K. Denison and B. W. Webb, “An absorption-line blackbody distribution function for efficient calculation of total gas radiative transfer,” J. Quant. Spectrosc. Radiat. Transfer, vol. 50, no. 5, pp. 499–510, November 1993b. doi: 10.1016/0022-4073(93)90043-H.
  • M. K. Denison and B. W. Webb, “Development and application of an absorptionline blackbody distribution function for CO2,” Int. J. Heat Mass Transfer, vol. 38, no. 10, pp. 1813–1821, July 1995. doi: 10.1016/0017-9310(94)00297-9.
  • F. Archambeau, M. Namane, and M. Sakiz, “Code saturne: A finite volume code for the computation turbulent incompressible flows - industrial applications,” Int. J. Finite Vol., vol. 1, no. 1, 2004.
  • W. A. Fiveland, “Discrete-ordinates solutions of the radiative transport equation for rectangular enclosures,” J. Heat Transfer, vol. 106, no. 4, p. 699, 1984. doi: 10.1115/1.3246741.
  • L. Soucasse, P. Rivière, S. Xin, and P. Le, Quéré, and A. Soufiani, “Numerical study of coupled molecular gas radiation and natural convection in a differentially heated cubical cavity,” Comput. Therm. Sci., vol. 4, no. 4, pp. 335–350, 2012. doi: 10.1615/ComputThermalScien.2012005118.
  • L. Soucasse, P. Rivière, and A. Soufiani, “Monte carlo methods for radiative transfer in quasi-isothermal participating media,” J. Quant. Spectrosc. Radiat. Transfer, vol. 128, pp. 34–42, October 2013. doi: 10.1016/j.jqsrt.2012.07.008.
  • F. Liu, “Numerical solutions of three-dimensional non-grey gas radiative transfer using the statistical narrow-band model,” J. Heat Transfer, vol. 121, no. 1, p. 200, 1999. doi: 10.1115/1.2825944.
  • J. T. Pearson, B. W. Webb, V. P. Solovjov, and J. Ma, “Updated correlation of the absorption line blackbody distribution function for H2O based on the HITEMP2010 database,” J. Quant. Spectrosc. Radiat. Transfer, vol. 128, pp. 10–17, October 2013. doi: 10.1016/j.jqsrt.2012.07.016.
  • S. Xin and P. Le Quéré, “An extended chebyshev pseudo-spectral benchmark for the 8:1 differentially heated cavity,” Int. J. Numer. Methods Fluids, vol. 40, no. 8, pp. 981–998, November 2002. doi: 10.1002/fld.399.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.