DOI QR코드

DOI QR Code

Flow Control and Drag Reduction of a Circular Cylinder by an External Magnetic Field

자기장을 사용한 원형주상체 주위의 유동 제어 및 저항감소

  • 윤현식 (부산대학교 첨단조선공학연구센터) ;
  • 전호환 (부산대학교 첨단조선공학연구센터)
  • Published : 2004.04.01

Abstract

The present study numerically investigates two-dimensional laminar flow past a circular cylinder in an aligned magnetic field using the spectral method. Numerical simulations are performed for flow fields with Re=100 and 200 in the range of 0$\leq$N$\leq$10, where Ν is the Stuart number that is the ratio of electromagnetic force to inertial force. The present study reports the detailed information of flow quantities on the cylinder surface at different Stuart numbers. It is shown that the vortex shedding can be controlled by the magnetic force representing the Stuart number. As Ν increases, the vortex shedding becomes weaker, resulting in drag reduction whose magnitude is the largest at a critical value. In addition, as the magnetic force increases, the lift amplitude decreases, reaching zero at the critical number.

Keywords

References

  1. 김광수, 서정천, 1998, “와도를 기조로 한 초기순간 출발하는 실린더 주위의 점성유동해석,” 대한조선학회 논문집, 제 35 권, 제 4 호, pp. 1-10.
  2. 김광수, 이승재, 서정천, 2003, “진동하는 원형주상체 주위의 와류 수치 모사,” 대한조선학회 논문집, 제 40 권, 제 2 호, pp. 21-27. https://doi.org/10.3744/SNAK.2003.40.2.021
  3. 김덕수, 김형태, 김우전, 2003, “미소기포 주입에 의한 마찰저항 감소에 대한 연구,” 대한조선학회 논문집, 제 40 권, 제 3 호, pp. 1-8. https://doi.org/10.3744/SNAK.2003.40.3.001
  4. 김형태, 김덕수, 김우전, 2003, “폴리머 수용액 주입에 의한 난류마찰저항 감소에 대한 실험 연구,” 대한조선학회 논문집, 제 40 권, 제 3 호, pp. 9-15. https://doi.org/10.3744/SNAK.2003.40.3.009
  5. 신영섭, 2000, “스펙트럴법을 이용한 원형주상체주위 층난류 유동 해석,” 대한조선학회 논문집, 제 37 권, 제 4 호, pp. 31-39.
  6. 장진호, 김효철, 1999, “선저에 부착된 공기공동에 의한 선박의 저항감소에 관한 연구,” 대한조선학회 논문집, 제 36 권, 제 2 호, pp. 1-8.
  7. Baek, S. J. and Sung, H. J., 1998, “Numerical simulation of the flow behind a rotary oscillating circular cylinder,” Phys. Fluids, Vol. 10, pp. 869-876. https://doi.org/10.1063/1.869610
  8. Braza, M., Chassaing, P. and Minh, H. H., 1986, “Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder,” J. of Fluid Mechanics, Vol. 165, pp. 79-130. https://doi.org/10.1017/S0022112086003014
  9. Choi, K. S., 1989, “Near-wall structure of turbulent boundary layer with riblets,” J. of Fluid Mechanics, Vol. 208, pp. 417-458. https://doi.org/10.1017/S0022112089002892
  10. Choi, K. S., Yang, X., Clayton, B. R., Glover, E. J., Atlar, M., Semenov, B. N. and Kulik, V. M., 1997, “Turbulant drag reduction using compiant surfaces,” Proc. R. Soc. Lond. A, 453, pp. 2229-2240. https://doi.org/10.1098/rspa.1997.0119
  11. Kang, S. M., Choi, H. C. and Lee, S. S., 1999, “Laminar flow past a rotating circular cylinder,” Phys. Fluids, Vol. 11, pp. 3312-3321. https://doi.org/10.1063/1.870190
  12. Kwon, K. Y. and Choi, H. C., 1996, “Control of laminar vortex shedding behind a circular cylinder using splitter plates,” Phys. Fluids, Vol. 8, pp. 479-486. https://doi.org/10.1063/1.868801
  13. Lee, D. H. and Choi, H. C., 2001, “Magnetohydro-dynamic turbulent flow in a channel at low magnetic Reynolds number,” J. of Fluid Mechanics, Vol. 439, pp. 369-394.
  14. Mittal, R. and Balachandar, S., 1994, “Direct numerical simulation of flow past elliptic cylinders,” J. of Comp. Physics, Vol. 124, pp. 351-367.
  15. Mutschke, G., Gerbeth, G., Shatrov, V. and Tomboulides, A., 1997, “Two- and three dimensional instabilities of the cylinder wake in an external magnetic field,” Phys. Fluids, Vol. 9, pp. 3114-3116. https://doi.org/10.1063/1.869429
  16. Mutschke, G., Gerbeth, G. and Shatrov, V., 1998, “Cylinder wake control by magnetic field in liquid metal flows,” Exp. Therm. Fluid Sci., Vol. 16, pp. 92-99. https://doi.org/10.1016/S0894-1777(97)10007-3
  17. Mutschke, G., Gerbeth, G., Shatrov, V. and Tomboulides, A., 2001, “The schnario of three dimensional instabilities of the cylinder wake in an external magnetic field : A linear stability analysis,” Phys. Fluids, Vol. 13, pp. 723-734. https://doi.org/10.1063/1.1344895
  18. Park, J., Kwon, K. and Choi, H., 1998, “Numerical solutions of flow past a circular cylinder at Reynolds number up to 160,” KSME Int. J., Vol. 12, pp. 1200-1205.
  19. Park, J. and Choi, H., 1999, “Effects of uniform blowing or suction from a spanwise slot on a turbulent boundary layer,” Phys. Fluids, Vol. 11, pp. 3095-3105. https://doi.org/10.1063/1.870167
  20. Williamson, C. H. K., 1996, “Vortex dynamics in the cylinder wake,” Annu. Rev. Fluid. Mech., Vol. 28, pp. 477-539. https://doi.org/10.1146/annurev.fl.28.010196.002401