Hydrodynamics of Orthotropic Shapes Utilizing Ellipsoidal Harmonics

Ioannis K. Chatjigeorgiou, George Dassios, Touvia Miloh

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Hydrodynamics (inviscid fluid and irrotational flow) of rigid bodies with three mutually perpendicular plans of symmetry (orthotropic shapes) moving in confined media (wall, channel etc.) is analyzed by applying Lamé's functions and ellipsoidal harmonics. Towards this goal, a general numerical scheme for computing ellipsoidal harmonics of arbitrary order and degree is presented. In order to demonstrate the versatility of the method, which maybe is useful in many practical applications in mathematical physics, we chose to analytically address here the case of a tri-axial rigid ellipsoidal vessel moving steadily near a rigid wall or along the center of a two-dimensional channel. Free-surface effects are ignored and we are mainly interested in determining the dependence of the hydrodynamic added-mass coefficient and the asymmetric pressure (suction) force exerted on the body due to external flow disturbances such as nearby planar boundaries or flow producing mechanisms (singularities) simulating for example a propulsive system.

Original languageEnglish
Title of host publicationProceedings - 2015 2nd International Conference on Mathematics and Computers in Sciences and in Industry, MCSI 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages212-224
Number of pages13
ISBN (Electronic)9781479986736
DOIs
StatePublished - 2 Mar 2016
Event2nd International Conference on Mathematics and Computers in Sciences and in Industry, MCSI 2015 - Sliema, Malta
Duration: 17 Aug 201519 Aug 2015

Publication series

NameProceedings - 2015 2nd International Conference on Mathematics and Computers in Sciences and in Industry, MCSI 2015

Conference

Conference2nd International Conference on Mathematics and Computers in Sciences and in Industry, MCSI 2015
Country/TerritoryMalta
CitySliema
Period17/08/1519/08/15

Keywords

  • Ellipsoids
  • Lamé functions
  • added mass
  • attraction force
  • ellipsoidal harmonics
  • hydrodynamics

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