INTERFACE WAVE DIFFRACTION BY A THIN VERTICAL BARRIER SUBMERGED IN THE LOWER FLUID

This paper is concerned with interface wave diffraction by a thin vertical barrier which is completely submerged in the lower fluid of two superposed infinite fluids and which extends infinitely downwards into the lower fluid. By a suitable application of Green's integral theorem in the two fluid regions, the problem is formulated in terms of a hypersingular integral equation for the difference of potential across the barrier. A numerical procedure is utilized to evaluate the reflection and transmission coefficients directly from this hypersingular integral equation. Also, an integro-differential equation formulation of the problem is considered, wherein the equation is solved approximately up to O (s), s being the ratio of the densities of the upper and lower fluids. Utilizing this approximate solution, the reflection and transmission coefficients are also obtained up to O (s). Numerical results illustrate that the reflection coefficient up to O (s) thus obtained is in good agreement with the same evaluated directly from the hypersingular integral equation for 0 < s 0.5. The advantage of the hypersingular integral equation formulation is that the reflection and transmission coefficients can be evaluated for any value of s such that 0 s 1. It is observed that the presence of the upper fluid reduces the reflection coefficients from their exact values for a single fluid significantly.

  • Supplemental Notes:
    • Applied Ocean Research, v 17 n 2, 1995, p 93 [10 p, 13 ref, 3 tab]
  • Authors:
    • Mandal, B N
    • Banerjea, S
    • Dolai, D P
  • Publication Date: 1995

Language

  • English

Subject/Index Terms

Filing Info

  • Accession Number: 00718741
  • Record Type: Publication
  • Source Agency: British Maritime Technology
  • Files: TRIS
  • Created Date: Mar 27 1996 12:00AM