English

Pointwise vanishing velocity helicity of a flow does not preclude magnetic field generation

Fluid Dynamics 2019-03-27 v3 Chaotic Dynamics

Abstract

Pointwise zero velocity helicity density is shown not to prevent steady flows from acting as kinematic dynamos. We present numerical evidences that such flows can generate both small-scale magnetic fields as well as, by the magnetic α\alpha-effect or negative eddy diffusivity mechanisms, large-scale ones. The flows are constructed as curls of analytically defined space-periodic steady solenoidal flows, whose vorticity helicity (i.e., kinetic helicity) density is everywhere zero.

Keywords

Cite

@article{arxiv.1811.00859,
  title  = {Pointwise vanishing velocity helicity of a flow does not preclude magnetic field generation},
  author = {Alexander Andrievsky and Roman Chertovskih and Vladislav Zheligovsky},
  journal= {arXiv preprint arXiv:1811.00859},
  year   = {2019}
}