Theory of Optimum Shapes in Free-Surface Flows

Abstract

The report consists of three parts. Part I investigates the mathematical theory of variational calculus for the general problem of optimum hydromechanical shapes in a wide class of free surface flows. In Part II the general theory is applied to determine the optimum shape of a two-dimensional planing surface that produces the maximum lift. In Part III the optimum shape of a symmetric two-dimensional strut is determined so that the drag of this strut in infinite cavity flow is a minimum.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1971
Accession Number
AD0730841

Entities

People

  • T. Yao-tsu Wu

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Calculus
  • Calculus Of Variations
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Drag
  • Engineering
  • Fourier Series
  • Froude Number
  • Hydrodynamics
  • Integral Equations
  • Planing Surfaces
  • Real Variables
  • Sequences
  • Symmetry
  • Two Dimensional
  • Variational Methods

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Marine Hydrodynamics