FLOW PAST AN ANCHORED SLENDER SHIP IN VARIABLE DEPTH SHALLOW WATER

The potential flow of a uniform stream of shallow water past a slender ship in the presence of a variable bottom is analyzed using the method of matched asymptotic expansions. For a small deviation from constant depth, the solution is seen to consist of the constant-depth result obtained by Tuck plus a correction which accounts for the depth variation. Expressions are obtained for the vertical force and trim moment to first order in the slenderness parameter where the flow is subcritical and the bottom is slender. It is seen that the bottom geometry appears in the solution in an analogous fashion to the hull geometry, through the streamwise variation of the cross-flow cross section.

• Corporate Authors:

  American Institute of Aeronautics and Astronautics

  1290 Avenue of the Americas
  New York, NY  United States  10019
• Authors:
  • Plotkin, A
• Publication Date: 1975-7

Media Info

• Features: References;
• Pagination: p. 103-106
• Serial:
  • Journal of Hydronautics
  • Volume: 9
  • Issue Number: 7
  • Publisher: American Institute of Aeronautics and Astronautics

Subject/Index Terms

• TRT Terms: Navigation; Potential flow; Ships; Unsteady flow
• Old TRIS Terms: Shallow water effects; Thin ship theory
• Subject Areas: Design; Marine Transportation; Vehicles and Equipment;

Filing Info

• Accession Number: 00127589
• Record Type: Publication
• Source Agency: American Institute of Aeronautics and Astronautics
• Files: TRIS
• Created Date: Dec 3 1975 12:00AM