DOI QR코드

DOI QR Code

Three-Dimensional Numerical Study on the Vortex Flow in a Horizontal Channels with High Viscous Fluid(2)

수평채널 내 고 점성유체의 볼텍스 유동에 관한 3차원 수치해석(2)

  • Received : 2015.04.27
  • Accepted : 2015.07.31
  • Published : 2015.08.31

Abstract

TMixed convective flow in a bottom heated and top cooled rectangular channel can be significantly affected by the channel aspect ratio, Prandtl number, Reynolds number, Rayleigh number and angle of inclination. In such a mixed convection, the flow pattern plays an important role in various technological processes. In this study, a numerical investigation is carried out to explore mixed convection in a three-dimensional rectangular channel with bottom heated and top cooled uniformly. The three-dimensional governing equations are discretized using the finite volume method. In the range of low Reynolds number($0{\leq}Re{\leq}9.6{\times}10^{-2}$), the effects of the aspect ratio($2{\leq}AR{\leq}12$) and Gr/Re are presented and discussed. The longitudinal roll number in the channel is increased with increasing aspect ratio, and the roll number induced, regardless of the aspect ratio number, is even in the range of aspect ratios between 2 and 12, New vortex flow structure containing inclined longitudinal rolls is found, which is affected by aspect ratio and Reynolds number. The ratio Gr/Re is used to check the relative magnitudes of forced and natural convection in the mixed convective flow of high viscous fluid.

Keywords

References

  1. Y. Kamotani and S. Ostrach, 1976, "Effect of Thermal Instability on Thermally Developing Laminar Channel Flow", Journal of Heat Transfer, pp. 62-66.
  2. K. C. Chiu and F. Rosenberger, 1987, "Mixed convection between horizontal plates-I. Entrance effects", Int. J. Heat Mass Transfer, Vol. 30, No. 8, pp. 1645-1654. https://doi.org/10.1016/0017-9310(87)90310-3
  3. K. C. Chiu, J. Ouazzani and F. Rosenberger, 1987, "Mixed convection between horizontal plates-II. Fully developed flow", Int. Heat Mass Transfer, Vol. 30, No. 8, pp. 1655-1662. https://doi.org/10.1016/0017-9310(87)90311-5
  4. S. S. Chen and A. S. Lavine, 1996, "Laminar, buoyancy induced flow structures in a bottom heated, aspect ratio 2 duct with throughflow", Int. J. Heat Mass Transfer, Vol. 39, No. 1, pp. 1-11. https://doi.org/10.1016/S0017-9310(96)85001-0
  5. M. Y. Chang and T. F. Lin, 1998, "Experimental study of aspect ratio effects on longitudinal vortex flow in mixed convection of air in a horizontal rectangular duct", Int. J. Heat Mass Transfer, Vol. 41, Nos 4-5, pp. 719-733. https://doi.org/10.1016/S0017-9310(97)00165-8
  6. M. Y. Chang, C. H. Yu and T. F. Lin, 1997, "Changes of Longitudinal Vortex Roll Structure in a Mixed Convective Air Flow Through a Horizontal Plane Channel: an Experimental Study", Int. J. Heat Mass Transfer, Vol. 40, No. 2, pp. 347-363. https://doi.org/10.1016/0017-9310(96)00098-1
  7. A. Ozsunar, S. Baskaya and M. Sivrioglu, 2001, "Numerical Analysis of Grashof Number, Reynolds Number and Inclination Effects on Mixed Convection Heat Transfer in Rectangular Channels", Int. Comm. Heat Mass Transfer, Vol. 28, No. 7, pp. 985-994. https://doi.org/10.1016/S0735-1933(01)00302-5
  8. T. C. Cheng, J. T. Lir and T. F. Lin, 2002, "Stationary Transverse Rolls and U-rolls in Limiting Low Reynolds Number Mixed Convective Air Flow Near the Convective Threshold in a Horizontal Flat Duct", International Journal of Heat and Mass Transfer 45, pp. 1211-1227. https://doi.org/10.1016/S0017-9310(01)00229-0
  9. T. F. Lin, 2003, "Buoyancy driven vortex flow and thermal structures in a very low Reynolds number mixed convective gas flow through a horizontal channel", International Journal of Heat and Fluid Flow 24, pp. 299-309. https://doi.org/10.1016/S0142-727X(03)00020-1
  10. R. L. Piao, J. S. Kim and D. S. Bae, 2014, "Three-dimensional numerical study on the voryex flow in a horizontal channels with high viscous fluid", Journal of Korean Society for Power System Engineering, Vol. 18, No. 3, pp.79-86. https://doi.org/10.9726/kspse.2014.18.3.079
  11. C. H. Yu, M. Y. Chang and T. F. Lin, 1996, "Structures of moving transverse and mixed rolls in mixed convection of air in a horizontal plane channel", Int. J. Heat Mass Transfer, Vol. 40, No. 2, pp. 333-346. https://doi.org/10.1016/0017-9310(96)00099-3
  12. F. P. Incropera, D. P. DeWitt, T. L. Bergman and A. S. Lavine, 2008, "Introduction to heat transfer", 5TH Edition, pp. 615.