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 Study of Radial Temperature Gradient Effect on Taylor Vortices

반경방향으로의 온도구배가 Taylor Vortex에 미치는 영향에 대한 수치적 연구

  • 강창우 (인하대학교 대학원 기계공학과) ;
  • 양경수 (인하대학교 기계공학부) ;
  • 윤동혁 (인하대학교 대학원 기계공학과)
  • Published : 2009.11.01
Download PDF
⟨ Previous Next ⟩

Abstract

Numerical simulation has been carried out to investigate the influence of radial temperature gradient on the Taylor Vortex flow. Varying the Grashof number, we study the detailed flow and temperature fields. The current numerical results show good agreement with the experimental results currently available. It turns out that wavy spiral vortices are generated by increasing temperature gradient. We classify flow patterns for various Grashof numbers based on the characteristics of flow fields and spiral vortices. The correlation between Grashof number with wave number shows that the spiral angle and size of Taylor vortices increase with increasing temperature gradient. Temperature gradient does not have a great influence on the heat transfer rate of the cylinder surfaces.

Keywords

References

  1. Drazin, P. G. and Reid, W. H., 2004, Hydrodynamic stability, Cambridge University Press, New York
  2. Snyder, H. A. and Karlsson, S. K. F., 1964, '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
  3. Ball, K. S. and Farouk, B., 1989, 'A Flow Visualization Study of the Effects of Buoyancy on Taylor Vortices,' Phys. Fluids, Vol. 1, No. 9, pp. 1502-1507 https://doi.org/10.1063/1.857328
  4. Lee, Y. N. and Minkowycz, W. J., 1989, '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. Ball, K. S., Farouk, B. and Dixit, V. C., 1989, 'An Experimental Study of Heat Transfer in a Vertical Annulus with a Rotating Inner Cylinder,' Int. J. Heat Mass Transfer, Vol. 32, No. 8, pp. 1517-1527 https://doi.org/10.1016/0017-9310(89)90073-2
  6. Ball, K. S. and Farouk, B., 1987, '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
  7. Ball, K. S. and Farouk, B., 1988, 'Bifurcation Phenomena in Taylor-Couette Flow with Buoyancy Effects,' J. Fluid Mech., Vol. 197, pp. 479-501 https://doi.org/10.1017/S0022112088003337
  8. Kuo, D. C. and Ball, K. S., 1997, '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
  9. Kedia, R., Hunt, M. L. and Colonius, T., 1998, 'Numerical Simulations of Heat Transfer in Taylor-Couette Flow,' J. Heat Transfer, Vol. 120, pp. 65-71 https://doi.org/10.1115/1.2830066
  10. Kedia, R., Hunt, M. L. and Colonius, T., 1999, 'Transition of Chaotic Flow in a Radially Heated Taylor-Couette System,' J. Heat Transfer, Vol. 121, pp. 574-582 https://doi.org/10.1115/1.2826018
  11. Hwang, J. Y., Yang, K. S., Mutabazi, I., Lee, S. and Yoon, D. H., 2006, '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
  12. Chen, J. C. and Kuo, J. Y., 1990, '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
  13. Kim, J. and Moin, P., 1985, '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
  14. Lepiller, V., 2006, 'Etude Expe'Rimentale des Instabilite'S Hydro-Thermiques dans un Anneau Cylindrique Vertical de Couette-Taylor Soumis a' un Gradient Radial de Temperature,' PhD thesis, Le Havre University, France
  15. Jeong, J. and Hussain, F., 1995, 'On the Identification of a Vortex,' J. Fluid Mech., Vol. 285, pp. 69-94 https://doi.org/10.1017/S0022112095000462
  16. Hwang, J. Y. and Yang, K. S., 2004, '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