Bubble Transport Theory with Application to the Upper Ocean

Abstract

The formalism of transport theory is adapted to a general description of bubble populations in a moving fluid. The bubble distribution, as a function of position, velocity, radius, and time, satisfies a Boltzmann type transport equation that is derived and then formally solved by the method of characteristics. Properties of the medium are specified and a bubble dynamics model is chosen. General expressions are written for bubble acceleration and radius change rate, and known models of bubble gas diffusion and drag are summarized for gas bubbles in liquids. Application to the upper ocean is discussed and illustrated with some sample calculations.

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Document Details

Document Type
Technical Report
Publication Date
Apr 06, 1973
Accession Number
AD0761999

Entities

People

  • Garrett A. Garrettson

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Boundary Layer
  • Buoyancy
  • Chemistry
  • Computational Science
  • Differential Equations
  • Diffusion
  • Equations
  • Fluid Mechanics
  • Integral Equations
  • Method Of Characteristics
  • Partial Differential Equations
  • Partial Pressure
  • Physics
  • Stratified Fluids
  • Surface Tension
  • Surface Waves

Readers

  • Combustion and Flow Dynamics.
  • Computational Fluid Dynamics (CFD)
  • Mathematical Modeling and Probability Theory.