Hydrodynamics of submerged prolate spheroids advancing under waves: Wave diffraction with forward speed

Ioannis K. Chatjigeorgiou, Touvia Miloh

Research output: Contribution to journalArticlepeer-review

Abstract

The present study treats the hydrodynamic diffraction problem including forward speed of a fully submerged prolate spheroid advancing rectilinearly under a monochromatic wave field in water of infinite depth. The analytic method explicitly satisfies the Kelvin-Neumann boundary conditions. The formulation is based on employing spheroidal harmonics and expressing the ultimate image singularity system as a series of multipoles distributed along the major axis of the spheroid between the two foci. The outlined procedure results in compact closed-form expressions for the six Kirchhoff velocity potentials as well as for the various components of the hydrodynamic loads exerted on the rigid body moving under waves.

Original languageEnglish
Pages (from-to)202-222
Number of pages21
JournalJournal of Fluids and Structures
Volume49
DOIs
StatePublished - Aug 2014

Keywords

  • Green's function
  • Image singularities
  • Multipole expansion
  • Spheroidal harmonics
  • Wave diffraction
  • Wave resistance

Fingerprint

Dive into the research topics of 'Hydrodynamics of submerged prolate spheroids advancing under waves: Wave diffraction with forward speed'. Together they form a unique fingerprint.

Cite this