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http://dx.doi.org/10.3744/SNAK.2017.54.3.250

Force upon a Body due to Neighboring Singularity  

Choi, Jin-Young (Dept. of Naval Architecture & Ocean Engineering, Chungnam National University)
Lee, Seung-Joon (Dept. of Naval Architecture & Ocean Engineering, Chungnam National University)
Publication Information
Journal of the Society of Naval Architects of Korea / v.54, no.3, 2017 , pp. 250-257 More about this Journal
Abstract
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.
Keywords
Appendages; Singularity; Stokes' stream function; Butler's sphere theorem; Lagally's theorem;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
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.   DOI
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.