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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 78, 2020 - Issue 7
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Original Articles

Influence of surface radiation on the transition to unsteadiness for a natural convection flow in a differentially heated cavity

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Pages 291-305 | Received 03 May 2020, Accepted 30 Jun 2020, Published online: 14 Jul 2020

References

  • G. K. Batchelor, “Heat transfer by free convection accross a closed cavity between vertical boundaries at different temperatures,” Quart. Appl. Math., vol. 12, no. 3, pp. 209–233, 1954. DOI: 10.1090/qam/64563.
  • G. De Vahl Davis and I. P. Jones, “Natural convection in a square cavity: a comparison exercise,” Int. J. Numer. Meth. Fluids, vol. 3, no. 3, pp. 227–248, 1983. DOI: 10.1002/fld.1650030304.
  • P. Le Quéré, “Accurate solutions to the square thermally driven cavity at high Rayleigh number,” Computers Fluids, vol. 20, no. 1, pp. 29–41, 1991. DOI: 10.1016/0045-7930(91)90025-D.
  • S. Paolucci and D. Chenoweth, “Transition to chaos in a differentially heated vertical cavity,” J. Fluid Mech., vol. 201, no. 1, pp. 379–410, 1989. APR DOI: 10.1017/S0022112089000984.
  • S. Armfield and J. C. Patterson, “Direct simulation of wave interactions in unsteady natural convection in a cavity,” Int. J. Heat Mass Transfer, vol. 34, no. 4/5, pp. 929–940, 1991. DOI: 10.1016/0017-9310(91)90004-X.
  • P. Le Quéré and M. Behnia, “From onset of unsteadiness to chaos in a differentially heated square cavity,” J. Fluid Mech., vol. 359, pp. 81–107, 1998. DOI: 10.1017/S0022112097008458.
  • E. Gadoin, P. Le Quéré, and O. Daube, “A general methodology for investigating flow instabilities in complex geometries: application to natural convection in enclosures,” Int. J. Numer. Meth. Fluids, vol. 37, no. 2, pp. 175–208, 2001. SEP 30 DOI: 10.1002/fld.173.
  • S. Xin and P. Le Quéré, “Natural-convection flows in air-filled, differentially heated cavities with adiabatic horizontal walls,” Numer. Heat Transfer A, vol. 50, no. 5, pp. 437–466, 2006. SEP 15 DOI: 10.1080/10407780600605039.
  • M. Behnia, J. Reizes, and G. de Vahl Davis, “Combined radiation and natural convection in a rectangular cavity with a transparent wall and containing a non-participating fluid,” Int. J. Numer. Meth. Fluids, vol. 10, no. 3, pp. 305–325, 1990. DOI: 10.1002/fld.1650100306.
  • M. Akiyama and Q. Chong, “Numerical analysis of natural convection with surface radiation in a square enclosure,” Numer Heat Transfer, A: Appl., vol. 32, no. 4, pp. 419–433, 1997. DOI: 10.1080/10407789708913899.
  • H. Bouali, A. Mezrhab, H. Amaoui, and M. Bouzidi, “Radiation–natural convection heat transfer in an inclined rectangular enclosure,” Int. J. Thermal Sci., vol. 45, no. 6, pp. 553–566, 2006. DOI: 10.1016/j.ijthermalsci.2005.10.001.
  • S. Saravanan and C. Sivaraj, “Coupled thermal radiation and natural convection heat transfer in a cavity with a heated plate inside,” int. j. Heat Fluid Flow, vol. 40, pp. 54–64, 2013. DOI: 10.1016/j.ijheatfluidflow.2013.01.007.
  • H. Wang, S. Xin, and P. Le Quéré, “Numerical study of natural convection-surface radiation coupling in air-filled square cavities,” Comptes Rendus de Mecanique, vol. 334, no. 1, pp. 48–57, 2006. DOI: 10.1016/j.crme.2005.10.011.
  • F. Archambeau, N. Méchitoua, and M. Sakiz, “Code saturne: A finite volume code for the computation of turbulent incompressible flows-industrial applications,” Int. J. Finite Volumes, vol. 1, no. 1, 2004. https://ijfv.math.cnrs.fr/spip.php?article3
  • W. Fiveland, “Discrete-ordinates solutions of the radiative transport equation for rectangular enclosures,” J. Heat Transfer, vol. 106, no. 4, pp. 699–706, 1984. DOI: 10.1115/1.3246741.
  • M. F. Modest, Radiative Heat Transfer, 3rd ed. Boston, MA, USA: Academic Press, 2013.
  • Y. Billaud, D. Saury, and D. Lemonnier, “Numerical investigation of coupled natural convection and radiation in a differentially heated cubic cavity filled with humid air. effects of the cavity size,” Numer. Heat Transfer, A: Appl., vol. 72, no. 7, pp. 495–518, 2017. DOI: 10.1080/10407782.2017.1386509.

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