박막이 부착된 채널내의 2차원 층류유동장에 대한 연구

Study on Two-Dimensional Laminar Flow through a Finned Channel

  • 윤석현 (전남대학교 대학원 기계공학과) ;
  • 정재택 (전남대학교 기계시스템 공학부, 자동차 연구소)
  • 발행 : 2002.09.01

초록

A two-dimensional laminar flow through a channel with a pair of symmetric vertical fins is investigated. At far up- and down-stream from the fins, the plane Poiseuille flow exists in the channel. The Stokes flow for this channel is first investigated analytically and then the other laminar flows by numerical method. For analytic method, the method of eigen function expansion and collocation method are employed. In numerical solution for laminar flows, finite difference method(FDM) is used to obtain vorticity and stream function. From the results, the streamline patterns are shown and the additional pressure drop due to the attached fins and the force exerted on the fin are calculated. It is clear that the force depends on the length of fins and Reynolds number. When the Reynolds number exceeds a critical value, the flow becomes asymmetric. This critical Reynolds number Re/sub c/ depends on the length of the fins.

키워드

참고문헌

  1. Wang, C.Y., 'Stokes Flow Through a Transversely Finned Channel,' ASME J. Fluids Eng., Vo1.119, (1997), pp.110-114
  2. 문찬, 외2인, '장애물을 갖는 덕트 내의 유동가시화 및 수치해석에 관한 해석,' 공기조화 냉동공학 논문집, Vol.6-3, (1994), pp.218-226
  3. Happel, J. and Brenner, H., Low ReynoIds Number Hydrodynamics with Special Applications to Particulate Media, Prentice-Hall Inc., (1965), pp.59-61
  4. Hoffmann, K.A. and Chiang, S.T., Computational Fluid Dynamics For Engineers, Vol.I, Engineehng Education System, (1993), pp.289-336
  5. Schreck, E. and Schafer, M. 'Numerical Study of Bifurcation in Three-dimensional Sudden Channel Expansions,' Computer & Fluids, Vo1.29, (2000), pp.583-593
  6. Alleborn, N. and Nandakumar, K. 'Further Contributions on the Two-dimensional Flow in a Sudden Expansion,' J. Fluid Mech, Vol.SSO, (1997), pp.169-188
  7. Hawa, T. and Rusak, Z., 'Two Dynamics of a Laminar Flow in a Symmethc Channel with a Sudden Expansion,' J. Fluid Mech, Vo1.436, (2001), pp.283-320