WAVES AND WAVE RESISTANCE OF THIN BODIES MOVING AT LOW SPEED: NONLINEAR FREE-SURFACE EFFECTS

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. (Modified author abstract)

• Corporate Authors:

  Hydronautics, Incorporated

  7210 Pindel School Road
  Laurel, MD  United States  20810
• Authors:
  • Dagan, G
• Publication Date: 1973-5

Media Info

• Pagination: 59 p.

Subject/Index Terms

• TRT Terms: Distributions (Statistics); Equations of motion; Floating structures; Flow fields; Fluid mechanics; Free surface; Froude number; Gravity waves; Hydrodynamics; Linear systems; Ships; Theory; Thinness; Three dimensional flow; Underwater structures; Wave resistance
• Uncontrolled Terms: Floating bodies
• Old TRIS Terms: Free surface effects; Hydrodynamic configurations; Slender bodies; Thin bodies; Underwater objects
• Subject Areas: Bridges and other structures; Design; Hydraulics and Hydrology; Marine Transportation; Vehicles and Equipment;

Filing Info

• Accession Number: 00050839
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: TR-7103-5 Tech Rpt
• Contract Numbers: N00014-71-C-0080
• Files: TRIS
• Created Date: Jan 31 1974 12:00AM