The added mass of confocal ellipsoids

Article type: Research Article

Authors: Mikelis, N.E.^{a; *} | Parkinson, A.G.^{b; *} | Price, W.G.^c

Affiliations: [a] Hellenic Navy, Athens | [b] Engineering Mechanics, The Open University, Milton Keynes, England | [c] Department of Mechanical Engineering, University College London, England

Note: [*] Formerly of University College London.

Abstract: The available analytical solutions for the acceleration coefficients and for the potential flow around ellipsoids or spheroids immersed in fluid that is either infinite in extent or is bounded by a confocal ellipsoid surface are summarized. In particular the solutions for a rotating inner ellipsoid in the presence of a fixed outer confocal ellipsoid are revised in this paper. The above analytical results are used to check a three dimensional finite element potential flow analysis applied to a ship manoeuvring in an arbitrary shaped canal or water channel.

DOI: 10.3233/ISP-1981-2831803

Journal: International Shipbuilding Progress, vol. 28, no. 318, pp. 40-47, 1981