Waves and Wave Resistance of Thin Bodies Moving at Low Speed: Nonlinear Free-Surface Effects
HYDRONAUTICS INC LAUREL MD
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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.
- Fluid Mechanics