The Inverse Problem of the Linearized Theory of Fully-Cavitating Hydrofoils

Blaine Raphael Parkin

ResearchPublished 1964

A presentation of the basic theory and some numerical results on the inverse problem for fully-cavitating hydrofoils. The problem is treated by the two-dimensional linearized theory of steady cavity flows. The problem of optimum hydrodynamic design of cavitating blades or foils, and the conditions required to insure realistic cavity flows are examined. As a result, three methods for profile design are given. Two of these are treated numerically. It is found that, once the pressure distribution has been prescribed, the shape of the profile depends on the design cavitation number. The camber decreases as the cavitation number increases. The numerical methods used in the study are given separate documentation.

Document Details

  • Copyright: RAND Corporation
  • Availability: Web Only
  • Year: 1964
  • Pages: 67
  • Document Number: RM-3566-PR

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Parkin, Blaine Raphael, The Inverse Problem of the Linearized Theory of Fully-Cavitating Hydrofoils. Santa Monica, CA: RAND Corporation, 1964. https://www.rand.org/pubs/research_memoranda/RM3566.html.
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