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Magnetohydrodynamic turbulence at moderate magnetic Reynolds number
- Source :
- Journal of Fluid Mechanics
- Publication Year :
- 2004
- Publisher :
- Cambridge University Press (CUP), 2004.
-
Abstract
- We consider the case of homogeneous turbulence in a conducting fluid that is exposed to a uniform external magnetic field at low to moderate magnetic Reynolds numbers (by moderate we mean here values as high as 20). When the magnetic Reynolds number is vanishingly small (Rm ≪ 1), it is customary to simplify the governing magnetohydrodynamic (MHD) equations using what is known as the quasi-static (QS) approximation. As the magnetic Reynolds number is increased, a progressive transition between the physics described by the QS approximation and the MHD equations occurs. We show here that this intermediate regime can be described by another approximation which we call the quasi-linear (QL) approximation. For the numerical simulations performed, the predictions of the QL approximation are in good agreement with those of MHD for magnetic Reynolds number up to Rm ∼20. © 2004 Cambridge University Press. 513 199 220 199-220
- Subjects :
- Conducting fluids
Magnetic reynolds number
Uniform magnetic fields
Magnetic Reynolds number
Linear systems
Magnetohydrodynamic turbulence
Reynolds number
Physics::Fluid Dynamics
Magnetohydrodynamics
symbols.namesake
Homogeneous turbulence
Physics
Mathematical models
Turbulence
Mechanical Engineering
Approximation theory
Mechanics
Computer simulation
Condensed Matter Physics
Reynolds equation
Magnetic field
Classical mechanics
Mechanics of Materials
Reynolds decomposition
Magnetic fields
symbols
Reynolds-averaged Navier–Stokes equations
Subjects
Details
- ISSN :
- 14697645 and 00221120
- Volume :
- 513
- Database :
- OpenAIRE
- Journal :
- Journal of Fluid Mechanics
- Accession number :
- edsair.doi.dedup.....d4b1335eb34f583017b8fc1e40274b98