DOI QR코드

DOI QR Code

The study of Flow Structure in a Mixing Tank for Different Reynolds Numbers Using LES

대형 와 모사를 통한 레이놀즈 수 증가에 따른 혼합 탱크 내의 유동 구조의 연구

  • 윤현식 (부산대학교 첨단조선공학센터) ;
  • 전호환 (부산대학교 첨단조선공학센터) ;
  • 하만영 (부산대학교 공과대학 기계공학부)
  • Published : 2003.09.01

Abstract

The stirred tank reactor is one of the most commonly used devices in industry for achieving mixing and reaction. Here we report on results obtained from the large eddy simulations of flow inside the tank performed using a spectral multi-domain technique. The computations were driven by specifying the impeller-induced flow at the blade tip radius. Stereoscopic PlY measurements (Hill et al. $^{(1)}$) along with the theoretical model of the impeller-induced flow (Yoon et al. $^{(2)}$) were used in defining the impeller-induced flow as superposition of circumferential, jet and tip vortex pair components. Large eddy simulation of flow in a stirred tank was carried out for the three different Reynolds numbers of 4000, 16000 and 64000. The effect of different Reynolds numbers is well observed in both instantaneous and time averaged flow fields. The instantaneous and mean vortex structures are identified by plotting an isosurfaces of swirling strength for all Reynolds numbers. The Reynolds number dependency of the non-dimensional eddy viscosity, resolved scale and subgrid scale dissipations is clearly shown in this study.

Keywords

References

  1. Hill, D. F., Sharp, K. V. and Adrian, R. J., 2000, 'Stereoscopic Particle Image Velocimetry Measurements of the Flow Around a Rushton Turbine,' Exp. Fluids, Vol. 29, pp. 478-485 https://doi.org/10.1007/s003480000116
  2. Yoon, H.S., Sharp, K.V., Hill, D. F., Adrian, R. J., Balachandar, S., Ha, M.Y. and Kar, K., 2001, 'Integrated Experimental and Computational Approach to Simulation of Flow in a Stirred Tank,' Chem. Engng Sci., Vol. 56, pp. 6635-6649 https://doi.org/10.1016/S0009-2509(01)00315-3
  3. Costes, J. and Couderc, J.P., 1988, 'Study by Laser Doppler Anemometry of the Turbulent flow Induced by a Rushton Turbine in a Stirred Tank: Influence of the Size of the Units I: Mean Flow and Turbulence,' Chem. Engng. Sci., Vol. 43, pp. 2765-2774 https://doi.org/10.1016/0009-2509(88)80019-8
  4. Ducoste, J.J., Clark, M.M. and Weetman, R.J., 1997, 'Turbulence in Flocculators: Effect of Tank Size and Impeller Type,' AICHE J., Vol. 43, pp. 328-335 https://doi.org/10.1002/aic.690430206
  5. Dong, L., Johansen, S.T. and Engh, T.A, 1994, 'Flow Induced by an Impeller in an Unbaffled Tank - II. Numerical Modeling,' Chem. Engng. Sci, Vol. 49, pp. 3511-3518 https://doi.org/10.1016/0009-2509(94)00150-2
  6. Eggels, J.M.G., 1996, 'Direct and Large Eddy Simulation of Turbulent Fluid Flow Using the Lattice-Boltzmann Scheme,' Int. j. Heat Fluid Flow, Vol. 17, pp. 307-323 https://doi.org/10.1016/0142-727X(96)00044-6
  7. Revstedt, J., Fuchs, L. and Tragardlh,C., 1998, 'Large Eddy Simulation of the Turbulent Flow in a Stirred Reactor,' Chem. Engng Sci, Vol. 53, pp. 4041-4053 https://doi.org/10.1016/S0009-2509(98)00203-6
  8. Bartels, C., Breuer, M., Wechsler, K. and Durst, F., 2002, 'Computational Fluid Dynamics Applications on Parallel-Vector Computers: Computations of Stirred Vessel Flow,' Computers & fluids., Vol. 31, pp.69-97 https://doi.org/10.1016/S0045-7930(01)00016-0
  9. Yoon, H. S., Balachandar, S., Ha, M. Y. and Kar, K., 2002, 'Large Eddy Simulation of Flow in a Stirred Tank,' ASME J. of Fluids Engineering. Vol. 125, pp. 486-499 https://doi.org/10.1115/1.1566046
  10. Germano, M., Piomelli, U., Moin, P. and Cabot, W.H., 1991, 'A Dynamic Subgrid-Scale Eddy Viscosity Model,' Phys. Fluids, A3, No. 3, pp. 1760-1765
  11. Yoon, H.S., Hill, D. F., Adrian, R. J., Balachandar, S., Ha, M.Y. and Kar, K., 2003, 'Scaling of Flow in a Stirred Tank with Rushton Turbines; Part I - Mean Flow and the Jet and Tip Vortex Components,' Submitted to AICHE J
  12. Yoon, H.S., 2003, 'Large Eddy Simulation of Turbulent Flow and Scalar Mixing in a Stirred Tank,' Ph.D thesis, Pusan National Tniversity, South Korea
  13. Sharp, K. V., Kim, K. S. and Adrian, R. J., 1998, 'A Study of Vorticity and Dissipation Around a Rushton Turbine Using Particle Image Velocimetry,' Proc. 9th Int'l Symp. Appications Lasers to Fluid Mechanics, Lisbon, July 13-16, pp. 14.1.1-10