Internal Wave Generation Caused by the Growth and Collapse of a Mixed Region

Abstract

A mathematical model is formulated for the mean disturbance created in a linearly stratified fluid by the growth and collapse of a localized region of turbulent, mixed fluid. Linearized differential equations for the disturbance are obtained from the Navier-Stokes equations under the Boussinesq approximation after various intuitive and empirical considerations. The divergence of the mean turbulent density flux enters these equations as the sole forcing function for the disturbance. The original expression for the forcing function is replaced by an approximation to simplify numerical evaluation of the disturbance. A solution is obtained for the disturbance in a fluid of constant depth and compared with measured data. Specific proposals are made for correcting the deficiencies of the model at small distances from the mixed region.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 29, 1973
Accession Number
AD0764050

Entities

People

  • J. M. Bergin

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Amplitude
  • Boundary Layer
  • Buoyancy
  • Climate Change
  • Differential Equations
  • Equations
  • Far Field
  • Frequency
  • Internal Waves
  • Layers
  • Mathematical Analysis
  • Mathematical Models
  • Navier Stokes Equations
  • Near Field
  • Oscillation
  • Stratified Fluids
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Fluid Mechanics and Fluid Dynamics.