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Applied Mathematics and Mechanics

, Volume 18, Issue 10, pp 997–1002 | Cite as

On force-free magnetic fields and beltrami flows

  • Feng Qingzeng
Article

Abstract

Solenoidal vector fields, which satisfy the condition that the field vector everywhere parallels to its curl, have complex topological structures, and usually show chaotic behaviors. In this paper, analytical solutions for vector fields with constant proportional factor in three basic coordinate systems are presented and it is pointed out that a Beltrami flow can sustain a steady force-free magnetic field in a perfectly conducting fluid, provided the magnetic field is parallel to the velocity everywhere.

Key words

analytical solutions maximal helicity chaotic lines of force 

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

  • Feng Qingzeng
    • 1
    • 2
  1. 1.National Laboratory for Turbulence ResearchPeking UniversityBeijingPeoples Republic of China
  2. 2.Department of Mechanics and Engineering SciencePeking UniversityBeijingPeoples Republic of China

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