Splashless Bow Flows in Two Dimensions.

Abstract

In two-dimensional bow-like flows past a semi-infinite body, one must in general expect a free-surface discontinuity. Similarly, if one reverses the flow direction, so generating a stern-like flow, one must expect a train of waves at infinity. We have shown in previous work that there is no stern-like flow without waves for a flat-bottomed body with a single corner. However, this is not necessarily the case for polygonal bodies with two or more corners, or for smooth bodies. The question of the existence of smooth, continuous solutions, having neither splashes nor waves is considered in this paper. Conclusive numerical evidence is given of the existence of such solutions. The flow at the extreme bow of a ship is examined without the framework of the two-dimensional potential flow theory. For most bow shapes one must in general expect a free-surface discontinuity, in the form of a splash or spray jet. Reduction and if possible elimination of this splash is one of the important problems of modern ship hydrodynamics. In this paper it is shown numerically that there exists particular bow shapes for which splashless flow exists. The bow shapes for which this elimination of the splash is possible are bulbous. This theoretical result agrees with the experiments of Baba (1976) and Miyata (1980) who found that a bulbous bow can reduce the shipwaves and splash at the extreme bow of a ship.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1984
Accession Number
ADA144741

Entities

People

  • E. O. Tuck
  • J. M. Vanden-broeck

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Analytic Functions
  • Applied Mathematics
  • Contracts
  • Differential Equations
  • Discontinuities
  • Elimination
  • Equations
  • Flow
  • Hydrodynamics
  • Mathematics
  • Military Research
  • Potential Flow
  • Stagnation Point
  • Two Dimensional
  • United States
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Marine Hydrodynamics
  • Theoretical Analysis.