SECOND ORDER POTENTIALS AND FORCES FOR OSCILLATING CYLINDERS ON A FREE SURFACE

The fluid motion due to a circular cylinder making small vertical oscillations on the free surface of the fluid is discussed. The cylinder is of infinite length and the fluid is incompressible, inviscid, irrotational and of infinite depth. The problem is thus formulated as a two-dimensional boundary value problem in potential theory. The boundary conditions are expanded in peturbation series. Using the first term of each of these expansions, the first order or linear problem is formulated and its solution, the first order velocity potential, is assumed known. The solution of the second order problem, the second order velocity potential, is derived by developing the appropriate Green's function and integrating it along the inhomogeneous boundaries of the problem.

• Corporate Authors:

  Massachusetts Institute of Technology

  Department of Naval Architecture and Marine Engineering
  Cambridge, MA  United States  02139
• Authors:
  • Parissis, G G
• Publication Date: 1966-8

Media Info

• Pagination: 141 p.

Subject/Index Terms

• TRT Terms: Boundary layer; Cylindrical bodies; Free surface
• Old TRIS Terms: Boundary layer theory; Free surface effects
• Subject Areas: Design; Marine Transportation;

Filing Info

• Accession Number: 00026970
• Record Type: Publication
• Source Agency: National Technical Information Service
• Report/Paper Numbers: 66-10,DSR-6026
• Contract Numbers: MA-2710
• Files: TRIS
• Created Date: Mar 2 1973 12:00AM