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주기적으로 배열된 회전하는 원형 실린더를 이용한 채널유동 토폴로지 변화

CHANGE OF CHANNEL-FLOW TOPOLOGY BY A STREAMWISE-PERIODIC ARRAY OF ROTATING CIRCULAR CYLINDERS

  • 투고 : 2013.10.30
  • 심사 : 2013.12.09
  • 발행 : 2013.12.31

초록

In this study, we consider the characteristics of channel flow in the presence of an infinite streamwise array of equispaced identical rotating circular cylinders. This flow configuration can be regarded as a model representing a micro channel or an internal heat exchanger with cylindrical vortex generators. A numerical parametric study has been carried out by varying Reynolds number based on the bulk mean velocity and the cylinder diameter, and the gap between the cylinders and the channel wall for some selected angular speeds. An immersed boundary method was employed to facilitate implementing the cylinders on a Cartesian grid system. No-slip condition is employed at all solid boundaries including the cylinders, and the flow is assumed to be periodic in the streamwise direction. The presence of the rotating circular cylinders arranged periodically in the streamwise direction causes a significant topological change of the flow, leading to increase of mean friction on the channel walls. More quantitative results as well as qualitative physical explanations are presented to justify the effectiveness of rotating cylinders to modify flow topology, which might be used to enhance heat transfer on the channel walls.

키워드

참고문헌

  1. 2002, Valencia, A. and Cid, M., "Turbulent unsteady flow and heat transfer in channels with periodically mounted square bars," Int. J. Heat and Mass Transfer, Vol.45, No.8, pp.1661-1673. https://doi.org/10.1016/S0017-9310(01)00267-8
  2. 2002, Buyruk, E., "Numerical study of heat transfer characteristics on tandem cylinders, inline and staggered tube banks in cross-flow of air," Int. Commun. Heat Mass Transfer, Vol.29, No.3, pp.355-66. https://doi.org/10.1016/S0735-1933(02)00325-1
  3. 2006, Zhou, Y. and Yiu, M.W., "Flow structure, momentum and heat transport in a two-tandem-cylinder wake," J. Fluid Mech., Vol.548, pp.17-48. https://doi.org/10.1017/S002211200500738X
  4. 2010, Han, T.H., Yang, K.S. and Lee, K., "Heat transfer Characterization of two isothermal circular cylinders in proximity," ASME J. Heat transfer, Vol.132, No.3, pp.034504. https://doi.org/10.1115/1.4000058
  5. 1998, Pinol, S. and Grau, F.X., "Influence of the no-slip boundary condition on the prediction of drag, lift, and heat transfer coefficients in the flow past a 2-D cylinder," Numer. Heat Tranfer, Part A, Vol.34, pp.313-330. https://doi.org/10.1080/10407789808913989
  6. 2010, Yoon, D.H., Yang, K.S. and Kang, C., "Primary Instability of the channel flow with a streamwise-periodic array of circular cylinders - Effects of the distance between the cylinder and the channel wall," J. Comput. Fluids Eng., Vol.15, No.3, pp.54-59.
  7. 2013, Jeong, T., Yang, K.S., Lee, K. and Kang, C., "Heat transfer enhancement in channel flow by a streamwise-periodic array of circular cylinders," J. Comput. Fluids Eng., Vol.18, No.2, pp.85-92. https://doi.org/10.6112/kscfe.2013.18.2.085
  8. 1996, Hu, G.H., Sun, D.J., Yin, X.Y. and Tong, B.G., "Hopf bifurcation in wakes behind a rotating and translating circular cylinder," Phys. Fluids, Vol.8, No.7, pp.1972-1974. https://doi.org/10.1063/1.868976
  9. 2004, Xiong, J., Ling, G. and Zhu, K., "Numerical estimate of the stability curve for the flow past a rotating cylinder," Phys. Fluids, Vol.16, No.7, pp.2697-2699. https://doi.org/10.1063/1.1730269
  10. 2003, Stojkovic, D., Schon, P., Breuer, M. and Durst, F., "On the new vortex shedding mode past a rotating circular cylinder," Phys. Fluids, Vol.15, No.5, pp.1257-1260. https://doi.org/10.1063/1.1562940
  11. 2006, Yang, J. and Balaras, E., "An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries," J. Comp. Phys., Vol.215, pp.12-40. https://doi.org/10.1016/j.jcp.2005.10.035
  12. 2013, Pralits, J.O., Giannetti, F. and Brandt, L., "Three-dimensional instability of the flow around a rotating circular cylinder," J. Fluid Mech., Vol.730, pp.5-18. https://doi.org/10.1017/jfm.2013.334
  13. 2000, You, J., Choi, H. and Yoo, J.Y., "A modified fractional step method of keeping a constant mass flow rate in fully developed channel and pipe flows," KSME Int. J., Vol.14, pp.547-552.
  14. 1995, Schatz, M.F., Barkley, D. and Swinney, H., "Instability in a spatially periodic open flow," Phys. Fluids, Vol.7, No.2, pp.344-358. https://doi.org/10.1063/1.868632
  15. 1994, Schumm, M., Berger, E. and Monkewitz, P.A., "Self-excited oscillations in the wake of two-dimensional bluff bodies and their control," J. Fluid Mech., Vol.271, pp.17-53. https://doi.org/10.1017/S0022112094001679
  16. 1971, Stuart, J.T., "Nonlinear stability theory," Ann. Rev. Fluid Mech., Vol.3, pp.347-370. https://doi.org/10.1146/annurev.fl.03.010171.002023
  17. 1994, Park, D.S., "Theoretical analysis of feed back control of Karman vortex shedding at slightly supercritical Reynolds numbers," Eur. J. Mech. B/Fluids, Vol.13, pp.387-399.
  18. 1998, Sohankar, A., Norberg, C. and Davidson, L., "Low-Reynolds number flow around a square cylinder at incidence: study of blockage, onset of vortex shedding and outlet boundary condition," Int. J. Numer. Meth. Fluids, Vol.26, pp.39-56. https://doi.org/10.1002/(SICI)1097-0363(19980115)26:1<39::AID-FLD623>3.0.CO;2-P