Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Numerical Simulation of Natural Convection in Horizontal Enclosure with Heat-Generating Conducting Body

발열 전도체가 존재하는 밀폐계 내부의 자연대류 현상에 대한 수치적 연구

  • 이재룡 (부산대학교 대학원 기계공학과) ;
  • 하만영 (부산대학교 대학원 기계공학부)
  • Published : 2005.04.01
Download PDF
⟨ Previous Next ⟩

Abstract

The physical model considered here is a horizontal layer of fluid heated below and cold above with heat-generating conducting body placed at the center of the layer. The dimensionless thermal conductivities of body considered in the present study are 0.01, 1 and 150. The dimensionless temperature difference ratios considered are 0.25, 2.5 and 25. Two-dimensional solution for unsteady natural convection is obtained using an accurate and efficient Chebyshev spectral methodology for variety of Rayleigh number from $10^{3}\;to\;10^{6}.$ Multi-domain technique is used to handle square- shaped heat-generating conducting body. The results for the case of conducting body with heat generation are also compared to those without heat generation.

Keywords

References

  1. Drazin, P.G. and Reid, W.H., 1981, Hydrodynamic Stability, Cambridge University Press
  2. Lipps, F.B., 1976, 'Numerical Simulation of Three-Dimensional Benard Convection in Air,' J. Fluid Mech. 75, 113 https://doi.org/10.1017/S0022112076000141
  3. Balachandar, S., Maxey, M.R. and Sirovich, L., 1988, 'Numerical Simulation of High Rayleigh Number Convection,' J. Sci. Comput. 4, 219 https://doi.org/10.1007/BF01061502
  4. Ha, M.Y. and Kim, J.G., 2004, 'Numerical Simulation of Natural Convection in Annuli with Internal Fins,' KSME International Journal, Vol. 18, No. 4, pp. 718-730
  5. Ha, M.Y., Yoon, H.S., Yoon, K.S., Balachandar, S., Kim, I., Lee, J.R. and Chun, H.H., 2002, 'TwoDimensional and Unsteady Natural Convection in a Horizontal Enclosure with a Square Body,' Numerical Heat Transfer, Vol. 41, pp. 183-210 https://doi.org/10.1080/104077802317221393
  6. Oh, J.Y., Ha, M.Y. and Kim, K.C., 1997, 'Numerical Study of Heat Transfer and Flow of Natural Convection in an Enclosure with a Heat-Generating Conducting Body,' Numerical Heat Transfer Part A, Vol. 31, pp. 289-303 https://doi.org/10.1080/10407789708914038
  7. Ha, M.Y., lung, M.J. and Kim, Y.S., 1999, 'Numerical Study on Transient Heat Transfer and Fluid Flow of Natural Convection in an Enlcosure with a Heat-Generating Conducting Body,' Numerical Heat Transfer Part A, Vol. 35, pp. 415-433 https://doi.org/10.1080/104077899275209
  8. Ha, M.Y. and Jung, M.J., 2000, 'A Numerical Study on Three-Dimensional Conjugate Heat Transfer of Natural Convection and Conduction in a Differentially Heated Cubic Enclosure with a Heat-Generating Cubic Conducting Body,' Int. J. Heat and Mass Transfer, Vol 43, pp. 4229-4248 https://doi.org/10.1016/S0017-9310(00)00063-6
  9. Costa, V.A.F., 2003, 'Unified Streamline, Heatline and Massline Methods for the Visualization of TwoDimensional Heat and Mass Transfer in Anisotropic Media,' Int. J. Heat and Mass Transfer, Vol. 46, pp. 1309-1320 https://doi.org/10.1016/S0017-9310(02)00404-0
  10. Streett, C.L. and Macaraeg, M.G., 1989, 'Spectral Multi-Domain for Large-Scale Fluid Dynamic Simulations,' Applied Numerical Mathematics, Vol. 6, p.3189 https://doi.org/10.1016/0168-9274(89)90058-5
  11. Lee, J.R., Ha, M.Y., Balachandar, S., Yoon, H.S. and Lee, S.S., 2004, 'Natural Convection in a Horizontal Layer of Fluid with a Periodic Array of Square Cylinders in the Interior,' Physics of Fluids, Vol. 16, No. 4, pp. 1097-1117 https://doi.org/10.1063/1.1649989
  12. Parker, S.J., 2002, 'Stability and Vortex Shedding of Bluff Body Arrays,' Ph.D. thesis, University of Illinois. Urbana. IL.

Cited by

  1. A Numerical Study of Natural Convection in a Square Enclosure with two Hot Circular Cylinders vol.24, pp.3, 2012, https://doi.org/10.6110/KJACR.2012.24.3.247
  2. Numerical Investigation of Transient Magnetohydrodynamic Mixed Convection in a Ventilated Cavity Containing Two Heated Circular Cylinders vol.39, pp.12, 2018, https://doi.org/10.1080/01457632.2017.1358487