Second-order free surface effect on cavitating 3-D hydrofoils

S. Bal*

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review

6 Citations (Scopus)

Abstract

The iterative method which is originally developed before for the three-dimensional cavitating hydrofoils moving with constant speed under a free surface is extended to include the second-order free surface effect into the calculations. The iterative nonlinear method is based on the Green's theorem and allows separating the cavitating hydrofoil problem and the free surface problem. These two problems are solved separately, with the effects of one on the other being accounted for in an iterative manner. The cavitating hydrofoil surface and the free surface are modeled with constant strength dipole and constant strength source panels. The second-order free surface effect is included into the calculations by the technique of small perturbation expansion both for the potential and for the wave elevation on the free surface. The source strengths on the free surface are expressed in terms of perturbation potential by applying first-order (linearized) and second-order free surface conditions. No radiation condi tion is enforced for downstream and transverse boundaries. Second-order free surface effect on cavitation characteristics and wave elevations is discussed.

Original languageEnglish
Pages554-561
Number of pages8
Publication statusPublished - 2001
Event11th (2001) International Offshore and Polar Engineering Conference - Stavanger, Norway
Duration: 17 Jun 200122 Jun 2001

Conference

Conference11th (2001) International Offshore and Polar Engineering Conference
Country/TerritoryNorway
CityStavanger
Period17/06/0122/06/01

Keywords

  • Cavitating hydrofoil
  • Potential-based panel method
  • Second-order free surface

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