Waves and Wave Resistance of Thin Bodies Moving at Low Speed: Nonlinear Free-Surface Effects
Abstract
Criteria of uniformity of the linearized theory of free-surface gravity flow past submerged or floating bodies based on the thin body perturbation expansion, combining the slenderness parameter, and F, the Froude number, are derived for both two- and three-dimensional flows. These criteria depend on the shape of the leading and trailing edges; as the shape becomes finer the linearized solution becomes valid for smaller F. Uniform first order approximations are derived by two alternative methods: velocity straining and coordinate straining. The nonuniformity of the usual thin body expansion is found to be similar to that encountered in problems characterized by multiple scales.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1973
- Accession Number
- AD0763679
Entities
People
- Gedeon Dagan