A numerical method for the prediction of wave pattern of surface piercing cavitating hydrofoils

S. Bal*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

The iterative boundary-element method, which is originally developed before for submerged cavitating hydrofoils is extended and modified to predict the wave pattern and lift and drag values of surface piercing cavitating hydrofoils (vertical struts) moving with a constant speed on the free surface. The iterative numerical method, which is based on the Green's theorem, allows the separation of surface piercing cavitating hydrofoil (or vertical strut) problem and the free surface problem. Those problems are solved separately, with the effects of one on the other being accounted for in an iterative manner. The wetted surface of the body (hydrofoil or strut) and the free surface are modelled with constant strength dipole and constant strength source panels. In order to prevent upstream waves the source strengths from some distance in front of the body to the end of the truncated upstream boundary are enforced to be zero. No radiation condition is enforced for downstream and transverse boundaries on the free surface. The method is applied to a rectangular non-cavitating hydrofoil with a yaw angle to compare the results with those of experiments and other numerical methods given in the literature. Then, the method is applied to a rectangular cavitating vertical strut and the effects of Froude number on wave pattern and lift and drag values of vertical strut are discussed.

Original languageEnglish
Pages (from-to)1623-1633
Number of pages11
JournalProceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
Volume221
Issue number12
DOIs
Publication statusPublished - Dec 2007

Keywords

  • Boundary-element method
  • Free surface
  • Kelvin wave pattern
  • Potential-based panel method
  • Surface piercing cavitating hydrofoil
  • Vertical strut

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