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3차원 물체 부근에 위치한 특이점이 물체에 작용하는 힘

Force upon a Body due to Neighboring Singularity

  • 최진영 (충남대학교 선박해양공학과) ;
  • 이승준 (충남대학교 선박해양공학과)
  • Choi, Jin-Young (Dept. of Naval Architecture & Ocean Engineering, Chungnam National University) ;
  • Lee, Seung-Joon (Dept. of Naval Architecture & Ocean Engineering, Chungnam National University)
  • 투고 : 2016.10.04
  • 심사 : 2017.05.22
  • 발행 : 2017.06.20

초록

It is desirable to have a way to predict the pressure drag due to various appendages attached to stern. As a mathematical model for these, a sphere and a singularity behind it, both in the uniform flow can be considered. We may use the Butler's sphere theorem to find the Stokes' stream function when the resulting flow is axisymmetric, and then the extended Lagally's theorem to get the force upon the sphere due to the singularity. Assuming the separation distance between the sphere and the singularity is small, the leading order approximation for the force is obtained and it is found out that if the separation distance and the square root of the strength of the dipole are of the same order, the effect of the image of the dipole with respect to the sphere is the most important.

키워드

참고문헌

  1. Lee, S.J., 2010a. Characteristics of forces upon two-dimensional circular cylinder by external singularities. Journal of the Society of Naval Architects of Korea, 47(6), pp.782-786. https://doi.org/10.3744/SNAK.2010.47.6.782
  2. Lee, S.J., 2010b. Forces due to external singularities upon 2- and 3-dimensional bodies. Proceedings of 9th International Conference on Hydrodynamics, Shanghai, China, 11-15 October, 2010.
  3. Milne-Thomson, L.M., 1968. Theoretical hydrodynamics. 5th Ed. Macmillan & Co: London.
  4. Yih, C.S., 1969. Fluid mechanics. McGraw Hill Book Company: New York.