International Journal of Aeronautical and Space Sciences

The Korean Society for Aeronautical and Space Sciences (한국항공우주학회)
권호 표지
DOI QR코드

DOI QR Code

Effects of Surface Radiation on the Unsteady Natural Convection in a Rectangular Enclosure

  • Baek, Seung-Wook (Department of aerospace engineering, Korea advanced institute of science and technology) ;
  • Kim, Taig-Young (Department of mechanical engineering, Korea polytechnic university)
  • Published : 2002.05.30
Download PDF
⟨ Previous Next ⟩

Abstract

Numerical solution of the full Navier-Stokes equation as well as the energy equation has been obtained for the unsteady natural convection in a rectangular enclosure. One side wall was maintained at very high temperature simulating fires. Especially the effect of surface radiation was taken into account. While the enclosed air was assumed to be transparent, the internal walls directly interacted one another through the surface radiation. Due to a significant temperature difference in the flow field, the equation of state was used instead of the Boussinesq approximation. It was found that the rapid heating of the adiabatic ceiling and floor by the incoming radiation from the hot wall made the evolution at thermo-fluid field highly unstable in the initial period. Therefore, the secondary cells brought about at the floor region greatly affected the heat transfer mechanism inside the enclosure. The heat transfer rate was augmented by the radiation, resulting in requiring less time for the flow to reach the steady state. At the steady state neglecting radiation two internal hydraulic jumps were clearly observed in upper/left as well as in lower/right comer. However, the hydraulic jump in the lower/right comer could not be observed for the case including radiation due to its high momentum flow over the bottom wall. Radiation resulted in a faster establishment of the steady state phenomena.

Keywords

References

  1. A. E. Gill, 1966, "The boundary-layer regime for convection in a rectangular cavity," J. Fluid Mech., Vol. 26, No. 3, pp. 515-536 https://doi.org/10.1017/S0022112066001368
  2. S. J. M. Linthorst, W.M.M. Schinkel, and C. J. Hoogendoorn, 1981, "Flow structure with natural convection in inclined air-filled enclosure," J. Heat Transfer, Vol. 103, pp. 535-539 https://doi.org/10.1115/1.3244498
  3. P.G. Simpkins and T. D. Dudderar, 1981, "Convection in rectangular cavities with differentially heated end walls," J. Heat Transfer, Vol. 110, pp. 433-456
  4. S. M. EISherbiny, K. G. T. Hollands, and G. D. Raithby, 1982, "Effect of thermal boundary layer conditions on natural convection in vertical and inclined air layer," J. Heat Transfer, Vol. 104, pp. 515-520 https://doi.org/10.1115/1.3245123
  5. G. D. Mallinson, 1987, "The effects of side-wall conduction on natural convection in a slot," J Heat Transfer, Vol. 109, pp. 419-526 https://doi.org/10.1115/1.3248098
  6. J. C. Patterson and J. Imberger, 1980, "Unsteady natural convection in a rectangular cavity," J. fluid Mech, Vol. 100, No. 1, pp. 65-86 https://doi.org/10.1017/S0022112080001012
  7. K. Kublbeck, G. P. Merker, and J. Straub, 1980, "Advanced numerical computation of two-dimensional time-dependent free convection in cavities," Int. J. Heat Mass Transfer, Vol. 23, pp. 203-217 https://doi.org/10.1016/0017-9310(80)90197-0
  8. J. C. Patterson, 1984,"On the existence of an oscillatory approach to steady natural convection in cavities," J. Heat Transfer, Vol. 106, pp. 104-108 https://doi.org/10.1115/1.3246620
  9. G. N. Ivey, 1984, "Experiments on transient natu ral convection in a cavity," J. Fluid Mech, Vol. 144, pp. 389-401 https://doi.org/10.1017/S0022112084001658
  10. W. J. Hiller, St. Koch, T. A. Kowalewski, and F. Stella, 1993, "Onset of natural convection in a cube," Int. J. Heat Mass Transfer, Vol. 36, No. 13, pp. 3251-3263 https://doi.org/10.1016/0017-9310(93)90008-T
  11. K. S.Chen,J.R.Ho,andJ.A.C.Humphrey, 1987, "Steady, two-dimensional, natural convection in rectangular enclosure with differently heated walls," J. Heat Transfer, Vol. 109, pp. 400-406 https://doi.org/10.1115/1.3248094
  12. J. L. Zia, M. D. Xin, and H. J. Zhang, 1990, "Natural convection in an externally heated enclosure containing a local heat source," J. Thermophysics, Vol. 4, No.2, pp, 233-238 https://doi.org/10.2514/3.169
  13. M. Hasnaoui, E. Bilgen, and P. Vasseur, 1992,"Natural convection heat transfer in rectangular cavities partially heated from below," J. Thermophysics, Vol. 6, No.2, pp. 255-264 https://doi.org/10.2514/3.353
  14. D.W. Larson and R. Viskanta, 1976,"Transient combined laminar free convection and radiation in a rectangular enclosure," J. Fluid Mech, Vol. 78, pp. 65-85 https://doi.org/10.1017/S0022112076002334
  15. H. Hilsenrath et aI., 1960, Tables of Thermodynamics and Transport Properties of Air, Argon, Carbon Dioxide. Hydrogen, Oxygen, and Steam, Pergamon Press, New York
  16. R. Siegel and J. R. Howell, 1981, Thermal Radiation Heat Transfer, McGraw-Hill, New York
  17. T. Hayase, J. A. C. Humphrey, and R. Greif, 1992, "A consistently formulated QUICK scheme for fast and stable convergence using finite-volume iterative calculation procedures," J. Comput. Phys., Vol. 98, pp. 108-118 https://doi.org/10.1016/0021-9991(92)90177-Z
  18. S. V. Partankar, 1980, Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York