Cavitation Dynamics: I. A Mathematical Formulation,

Abstract

A set of equations was derived to describe the dynamical motions of small cavitation bubbles in liquids set into motion by an acoustic pressure field. The mathematical formulation takes into account heat conduction inside a bubble and in the surrounding liquid, and the viscosity, compressibility, and surface tension of the liquid. The effect of vapor pressure may be determined as a function of the interfacial temperature. The formulation consists of non-linear ordinary differential equations, integral equations and algebraic equations, and was programmed for solution on a digital computer. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1972
Accession Number
AD0764075

Entities

People

  • Hugh G. Flynn

Organizations

  • University of Rochester

Tags

DTIC Thesaurus Topics

  • Bubbles
  • Cavitation
  • Compressive Properties
  • Computers
  • Differential Equations
  • Digital Computers
  • Dynamics
  • Equations
  • Integral Equations
  • Integrals
  • Mathematics
  • Physical Properties
  • Surface Tension
  • Vapor Pressure
  • Viscosity

Readers

  • Approximation Theory.
  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Underwater engineering and Marine Technology.