### Abstract

Statistical properties of MHD turbulence and the mechanism of turbulent dynamo are investigated by direct numerical simulations of three-dimensional MHD equations. It is assumed that the turbulent field has a high symmetry and that the fluid has hyperviscosity and hypermagnetic diffusivity. An external force is exerted on the fluid as kinetic energy and helicity sources. The main concern of the present study is whether magnetic fields of scales comparable to the dominant fluid motions can be generated or not. It is shown that the turbulent dynamo is effective if hypermagnetic diffusivity is smaller than a critical value. The total energy spectrum is close to the k^{-5/3} power law in the inertial range. The energy transfer between kinetic and magnetic fields is discussed.

Original language | English |
---|---|

Pages (from-to) | 457-465 |

Number of pages | 9 |

Journal | Physics of Fluids A |

Volume | 3 |

Issue number | 3 |

Publication status | Published - 1991 |

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### ASJC Scopus subject areas

- Condensed Matter Physics
- Physics and Astronomy(all)
- Mechanics of Materials
- Computational Mechanics
- Fluid Flow and Transfer Processes

### Cite this

*Physics of Fluids A*,

*3*(3), 457-465.

**Statistical properties of MHD turbulence and turbulent dynamo.** / Kida, Shigeo; Yanase, Shinichiro; Mizushima, Jiro.

Research output: Contribution to journal › Article

*Physics of Fluids A*, vol. 3, no. 3, pp. 457-465.

}

TY - JOUR

T1 - Statistical properties of MHD turbulence and turbulent dynamo

AU - Kida, Shigeo

AU - Yanase, Shinichiro

AU - Mizushima, Jiro

PY - 1991

Y1 - 1991

N2 - Statistical properties of MHD turbulence and the mechanism of turbulent dynamo are investigated by direct numerical simulations of three-dimensional MHD equations. It is assumed that the turbulent field has a high symmetry and that the fluid has hyperviscosity and hypermagnetic diffusivity. An external force is exerted on the fluid as kinetic energy and helicity sources. The main concern of the present study is whether magnetic fields of scales comparable to the dominant fluid motions can be generated or not. It is shown that the turbulent dynamo is effective if hypermagnetic diffusivity is smaller than a critical value. The total energy spectrum is close to the k-5/3 power law in the inertial range. The energy transfer between kinetic and magnetic fields is discussed.

AB - Statistical properties of MHD turbulence and the mechanism of turbulent dynamo are investigated by direct numerical simulations of three-dimensional MHD equations. It is assumed that the turbulent field has a high symmetry and that the fluid has hyperviscosity and hypermagnetic diffusivity. An external force is exerted on the fluid as kinetic energy and helicity sources. The main concern of the present study is whether magnetic fields of scales comparable to the dominant fluid motions can be generated or not. It is shown that the turbulent dynamo is effective if hypermagnetic diffusivity is smaller than a critical value. The total energy spectrum is close to the k-5/3 power law in the inertial range. The energy transfer between kinetic and magnetic fields is discussed.

UR - http://www.scopus.com/inward/record.url?scp=0000842334&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000842334&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0000842334

VL - 3

SP - 457

EP - 465

JO - Physics of fluids. A, Fluid dynamics

JF - Physics of fluids. A, Fluid dynamics

SN - 0899-8213

IS - 3

ER -