THE EFFECT OF RADIAL TEMPERATURE GRADIENT ON THE CIRCULAR-COUETTE FLOW

반경방향으로의 온도구배가 Circular-Couette 유동에 미치는 영향

  • 강창우 (인하대학교 대학원 기계공학과) ;
  • 양경수 (인하대학교 기계공학부) ;
  • Published : 2009.09.30

Abstract

Numerical simulation has been carried out to investigate the influence of radial temperature gradient on the Circular-Couette flow. Varying the Grashof number, we study the detailed flow and temperature fields. The current numerical results show good agreement with the analytical and experimental results currently available. It turns out that spiral vortices are generated by increasing temperature gradient. We classify the flow patterns for various Grashof number based on the characteristics of flow fields and spiral vortices. The correlation between Richardson number with wave number shows that the spiral angle and size of spiral vortices increase with increasing Richardson number.

Keywords

References

  1. 1964, Snyder, H.A. and Karlsson, S.K.F., "Experiments on the stability of couette motion with a radial thermal gradient," Phys. Fluids, Vol.7, No.10, pp.1696-1706 https://doi.org/10.1063/1.1711076
  2. 1990, Chen, J.C. and Kuo, J.Y., "The linear stability of steady circular Couette flow with a small radial temperature gradient," Phys. Fluids, Vol.2, No.9, pp.1585 1591 https://doi.org/10.1063/1.857565
  3. 2000, Bahloul, A., Mutabazi, I. and Ambari, A.,"Codimension 2 points in the flow inside a cylindrical annulus with a radial temperature gradient," Eur. Phys. J. Applied Physics, Vol.9, pp.253-264 https://doi.org/10.1051/epjap:2000112
  4. 1989, Lee, Y.N. and Minkowycz, W.J., "Heat transfer characteristics of the annulus of two-coaxial cylinders with one cylinder rotating," Int. J. Heat Mass Transfer, Vol.32, No.4, pp.711-722 https://doi.org/10.1016/0017-9310(89)90218-4
  5. 1989, Ball, K.S., Farouk, B. and Dixit, V.C., "An experimental study of heat transfer in a vertical annulus with a rotating inner cykinder," Int. J. Heat Mass Transfer, Vol.32, No.8, pp.1517-1527 https://doi.org/10.1016/0017-9310(89)90073-2
  6. 2008, Lepiller, V., Goharzadeh, A., Prigent, A. and Mutabazi, I., "Weak temperature gradient effect on the stability of the circular Couette flow," Eur. Phys. J. B, Vol.61, pp.445-455 https://doi.org/10.1140/epjb/e2008-00105-2
  7. 1987, Ball, K.S. and Farouk, B., "On the development of Taylor vortices in a vertical annulus with a heated rotating inner cylinder," Int. J. Numer. Meth. Fluids, Vol.7, pp.857-867 https://doi.org/10.1002/fld.1650070806
  8. 1988, Ball, K.S. and Farouk, B., "Bifurcation phenomena in Taylor-Couette flow with buoyancy effects," J. Fluid Mech., Vol.197, pp.479-501 https://doi.org/10.1017/S0022112088003337
  9. 1997, Kuo, D.C. and Ball, K.S., "Taylor-Couette flow with buoyancy: Onset of spiral flow," Phys. Fluids, Vol.9, No.10, pp.2872-2884 https://doi.org/10.1063/1.869400
  10. 2006, Hwang, J.Y., Yang, K.S., Mutabazi, I., Lee, S. and Yoon, D.H., "Numerical study of the thermal effects on the centrifugal instability," Trans. of the KSME B, Vol.30, No.6,pp.578-586 https://doi.org/10.3795/KSME-B.2006.30.6.578
  11. 2006, Lepiller, V., "Etude expe' rimentale des instabilite' s hydro-thermiques dans un anneau cylindrique vertical de Couette-Taylor soumis a' un gradient radial de tempe' rature," PhD thesis, Le Havre University, France
  12. 1985, Kim, J. and Moin, P., "Application of a fractional-step method to incompressible Navier-Stokes equation," J. Comput. Phys., Vol.59, pp.308-323 https://doi.org/10.1016/0021-9991(85)90148-2
  13. 2004, Hwang, J.Y. and Yang, K.S., "Numerical study of Taylor-Couette flow with an axial flow," Computers and Fluids, Vol.33, pp.97-118 https://doi.org/10.1016/S0045-7930(03)00033-1
  14. 1995, Jeong, J. and Hussain, F., "On the identification of a vortex," J. Fluid Mech., Vol.285, pp.69-94 https://doi.org/10.1017/S0022112095000462