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Characteristics of the Flow and Heat Transfer around a Wavy Cylinder

파형 실린더 주위의 유동 및 열 전달 특성

  • Lee, Chang-Yeol (Department of Naval Architecture and, Ocean Engineering, Pusan National University) ;
  • Seo, Jang-Hoon (Department of Naval Architecture and, Ocean Engineering, Pusan National University) ;
  • Hung, Pham-Anh (Department of Naval Architecture and, Ocean Engineering, Pusan National University) ;
  • Yoon, Hyun-Sik (Advanced Ship Engineering Research Center, Pusan National University) ;
  • Chun, Ho-Hwan (Department of Naval Architecture and, Ocean Engineering, Pusan National University)
  • 이창열 (부산대학교 조선해양공학과) ;
  • 서장훈 (부산대학교 조선해양공학과) ;
  • 팜안훙 (부산대학교 조선해양공학과) ;
  • 윤현식 (부산대학교 첨단조선공학연구센터) ;
  • 전호환 (부산대학교 조선해양공학과)
  • Published : 2009.02.20

Abstract

Three-dimensional characteristics of fluid flow and heat transfer around a wavy circular cylinder having sinusoidal variation in cross sectional area along the spanwise direction are numerically investigated using the immersed boundary method. The three different wavelengths of ${\pi}4$, ${\pi}3$ and ${\pi}2$ at the fixed wavy amplitude of 0.1 have been considered to investigate the effects of waviness especially on the forced convection heat transfer around a wavy cylinder when the Reynolds and Prandtl numbers are 300 and 0.71, respectively. The present computational results for a wavy cylinder are compared with those for a smooth cylinder. The time- and total surface-averaged Nusselt number for a wavy cylinder with ${\lambda}={\pi}/2$ is larger than that for a smooth cylinder, whereas that with ${\lambda}={\pi}/4$ and ${\pi}/3$ is smaller than that for a smooth cylinder. However, because the surface area exposed to heat transfer for a wavy cylinder is larger than that for a smooth cylinder, the total heat transfer rate for a wavy cylinder with different wavelengths of ${\lambda}={\pi}/4$, ${\pi}/3$ and ${\pi}/2$ is larger than that for a smooth cylinder.

Keywords

References

  1. Ahmed, A. and Bays-Muchmore, B., 1992, “ Transverse flow over a wavy cylinder,” Phys. Fluids A , Vol. 4, pp. 1959-1967 https://doi.org/10.1063/1.858365
  2. Churchill, S.W. and Bernstein, M., 1997, “ A correlating equation for forced convection from gases and liquids to a circular cylinder in crossflow,” J. Heat Transfer, Vol. 99, pp. 300-306 https://doi.org/10.1115/1.3450685
  3. Kim, J. and Choi, H., 2004, “ An immersedboundary finite-volume method for simulation of heat transfer in complex geometries,” KSME Int. J., Vol. 18, pp. 1026-1035
  4. Kim, J. and Choi, H., 2005, “ Distributed forcing of flow over a circular cylinder,” Phys. Fluids, Vol. 17. 033103 https://doi.org/10.1063/1.1850151
  5. Kim, J., Kim, D., and Choi, H., 2001, “ An immersed-boundary finite volume method for simulations of flow in complex geometries,” J. Comput. Phys., Vol. 171, pp. 132-150 https://doi.org/10.1006/jcph.2001.6778
  6. Kim, J. and Moin, P., 1985, “ Application of a Fractional Step Method to Incompressible Navier-Stokes Equations,” J. Comput. Phys., Vol. 59, pp. 308-323 https://doi.org/10.1016/0021-9991(85)90148-2
  7. Kim, J.H., Yoon, H.S., Tuan, H.A. and Chun, H.H., 2006, “ Immersed Boundary Method for Flow Induced by Transverse Oscillation of a Circular Cylinder in a Free-Stream," Journal of the Society of Naval Architects of Korea, Vol. 43, No. 3, pp. 322-330 https://doi.org/10.3744/SNAK.2006.43.3.322
  8. Kim, K.S. and Suh, J.C., 1998, “ Vorticity Based Analysis of the Viscous Flow around an Impulsively Started Cylinder," Journal of the Society of Naval Architects of Korea, Vol. 35, No. 4, pp. 1-10
  9. Kravchenko, A.G., Moin, P., and Shariff , K., 1999, “ B-spline method and zonal grids for simulations of complex turbulent flows,” J. Comput. Phys., Vol. 151, pp. 757-789 https://doi.org/10.1006/jcph.1999.6217
  10. Lam, K., Wang, F.H., Li, J.Y. and So, R.M.C., 2004a, “ Experimental investigation of the mean and fluctuating forces of wavy (varicose) cylinders in a cross-flow,” J. Fluids Struct., Vol. 19, pp. 32l-334 https://doi.org/10.1016/j.jfluidstructs.2003.12.010
  11. Lam, K., Wang, F.H. and So, R.M.C., 2004b, “ Three-dimensional nature of vortices in the near wake of a wavy cylinder,” J. Fluids Struct., Vol. 19, pp. 815-833 https://doi.org/10.1016/j.jfluidstructs.2004.04.004
  12. Lee, J.B., Yoon, H.S. and Chun,H.H., 2006, A numerical study on the fluid flow around a circular cylinder near a moving wall,” Journal of the Society of Naval Architects of Korea, Vol. 44, No. 2, pp. 119-129 https://doi.org/10.3744/SNAK.2007.44.2.119
  13. Lee, S. and Nguyen, A.T., 2007, “ Experimental investigation on wake behind a wavy cylinder having sinusoidal crosssectional area variation,” Fluid Dynamics Research, Vol. 39, pp. 292-304 https://doi.org/10.1016/j.fluiddyn.2006.06.003
  14. Posdziech, O. and Grundmann, R., 2001, “ Numerical simulation of the flow around an infinitely long circular cylinder in the transition regime,” Theoret. Comput. Fluid Dynamics, Vol. 15, pp. 121-141 https://doi.org/10.1007/s001620100046
  15. Shin, Y.S., 2000, “ Application of Spectral Method to Laminar and Turbulent Flow Analysis around a Circular Cylinder,” Journal of the Society of Naval Architects of Korea, Vol. 37, No. 4, pp. 31-39
  16. Yoon, H.S. and Chun, H.H., 2004, “ Flow Control and Drag Reduction of a Circular Cylinder by an External Magnetic Field,” Journal of the Society of Naval Architects of Korea, Vol. 41, No. 2, pp. 70-78 https://doi.org/10.3744/SNAK.2004.41.2.070
  17. Yoon, H.S., Chun, H.H. and Lee, D.H., 2006, “ Numerical Study on the Fluid Flow and Heat Transfer Past a Cylinder with a Periodic Array of Circular Fins,” Journal of the Society of Naval Architects of Korea, Vol. 43, No. 3, pp. 285-293 https://doi.org/10.3744/SNAK.2006.43.3.285