CONSTRUCTION OF STEADY-STATE HYDROMAGNETIC DYNAMOS. I. SPATIALLY PERIODIC FIELDS,

Abstract

Steady-state hydromagnetic induction in an infinite three-dimensional fluid conductor is studied under the assumption that the velocity field is periodic in space and representable as a finite trigonometric series. It is shown that there exist fields of this type, which include certain perfect fluid motions, such that the corresponding induction equations possess non-trivial regular solutions which vanish at infinity. The conductor thus behaves like a self-excited fluid dynamo, and any such motion is said to constitute a periodic dynamo. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 15, 1967
Accession Number
AD0652249

Entities

People

  • Stephen Childress

Organizations

  • New York University

Tags

DTIC Thesaurus Topics

  • Construction
  • Equations
  • Mathematics
  • Physical Properties
  • Steady State
  • Stratified Fluids
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Space