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

  • 제29권2호
  • /
  • Pages.189-196
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  • 2005
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  • 1226-4881(pISSN)
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  • 2288-5324(eISSN)
대한기계학회 (The Korean Society of Mechanical Engineers)
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사각 전도체가 존재하는 수평 밀폐계 내부의 자연대류 현상에 대한 수치적 연구

Numerical Simulation of Natural Convection in a Horizontal Enclosure with a Conducting Square Body

  • 이재룡 (부산대학교 대학원 기계공학과) ;
  • 하만영 (부산대학교 기계공학과)
  • 발행 : 2005.02.01
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초록

The physical model considered here is a horizontal layer of fluid heated below and cold above with a conducting body placed at the center of the layer. The body has dimensionless thermal conductivities to the fluid of 0.1, 1 and 50. Two-dimensional solution for unsteady natural convection is obtained using an accurate and efficient Chebyshev spectral methodology for different Rayleigh numbers. Multi-domain technique is used to handle a square-shaped conducting body. The results for the case of a conducting body are also compared to those of adiabatic and neutral isothermal bodies. When the dimensionless thermal conductivity is 0.1, a pattern of fluid flow and isotherms and the corresponding time-averaged surface Nusselt number are almost the same as the case of an adiabatic body. When the dimensionless thermal conductivity is 50, a pattern of flow and isotherm and the corresponding surface and time-averaged Nusselt number are similar to those of neutral body. The results for the case of dimensionless thermal conductivity of unity are also compared to those of pure natural convection.

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참고문헌

  1. Drazin, P.G. and Reid, W.H., 1981, Hydrodynamic Stability, Cambridge University Press
  2. Libbs, F.B., 1976, 'Numerical Simulation of Three-dimensional Benard Convection in Air,' J. Fluid Mech. Vol. 75, pp. 113-148 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., Vol. 4, pp. 219-236 https://doi.org/10.1007/BF01061502
  4. Ha, M.Y., Yoon, H.S., Yoon, K.S., Balachandar, S., Kim, I., Lee, J.R. and Chun, H.H., 2002, 'Two-dimensional 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
  5. Ha, M.Y., Kim, I.K., Yoon, H.S. and Lee, S., 2002, 'Unsteady Fluid Flow and Temperature Fields in a Horizontal Enclosure with an Adiabatic Body,' Physics of Fluids, Vol. 14, No. 9, pp. 3189-3202 https://doi.org/10.1063/1.1497168
  6. 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, pp. 1273-1286 https://doi.org/10.1063/1.1649989
  7. House, J. M., Beckermann, C. and Smith, T. F., 1990, 'Effect of a Centered Conducting Body on Natural Convection Heat Transfer in an Enclosure,' Numerical Heat Transfer A, Vol. 18, pp. 213-225 https://doi.org/10.1080/10407789008944791
  8. Street, C.L. and Macaraeg, M.G., 1989, 'Spectral Multi-Domain for Large-Scale Fluid Dynamic Simulations,' Applied Numerical Mathematics, Vol. 6, pp. 123-139 https://doi.org/10.1016/0168-9274(89)90058-5
  9. Parker, S.J., 2002, 'Stability and Vortex Shedding of Bluff Body Arrays,' PhD Thesis, University of Illinois, Urbana, IL
  10. Brown, W., 1973, 'Heat-Flux Transitions at Low Rayleigh Number,' J. Fluid Mech., Vol. 14, pp. 539-559 https://doi.org/10.1017/S0022112073000339
  11. Clever, R.M. and Busse, F.H., 1974, 'Transition to Time-Dependent Convection,' J. Fluid Mech., Vol. 65, pp. 625-645 https://doi.org/10.1017/S0022112074001571
  12. De Vahl Devis, G., 1983, 'Natural Convection of Air in a Square Cavity: A Benchmark Numerical Solution,' International Journal of Numerical Methods in Fluids, Vol. 3, pp. 249-264 https://doi.org/10.1002/fld.1650030305
  13. Le Quere, P., 1991, 'Accurate Solution to the Square Thermally Driven Cavity at High Rayleigh Number,' Computers and Fluids, Vol. 20, pp. 29-41 https://doi.org/10.1016/0045-7930(91)90025-D