Nonlinear Mechanics of Unstable Plasmas as Related to High-Altitude Aerodynamics.

Abstract

The program supported by this grant was devoted to extending theoretical and experimental techniques that are well-known in lumped-parameter systems such as vacuum tube oscillators and microwave devices to distributed-parameter systems such as plasmas; particular areas of interest are nonlinear behavior of oscillations and instabilities, stabilization of instabilities, and turbulence phenomena in bounded systems. The program developed a method of analysis in which the oscillations of a distributed-parameter system are treated in terms of normal modes of the bounded system. The temporal behavior of these modes is described by nonlinear differential equations that are well known from the analysis of lumped-parameter systems: These include the van der Pol equation, the Mathieu equation, the Duffing equation, and a new equation that has been developed and solved in this program.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1977
Accession Number
ADA038204

Entities

People

  • H. Lashinsky

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Acoustic Waves
  • Convection
  • Differential Equations
  • Dispersion Relations
  • Electrical Conductivity
  • Electrons
  • Equations
  • Frequency
  • Magnetic Fields
  • Measurement
  • Mechanics
  • Nonlinear Differential Equations
  • Oscillation
  • Physics
  • Physics Laboratories
  • Radio Frequency
  • Radio Frequency Power

Fields of Study

  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Control Systems Engineering.
  • Technical Research and Report Writing.