Abstract
The eigenfunctions of the kinematic dynamo problem exhibit complicated spatial structure when the magnetic diffusivity is small. When the base flow is spatially periodic, we may study this structure by examining the Fourier components of the eigenfunction at large wavevectors. In this regime we may seek a WKB form in terms of slowly-varying functions of wavevector. The resulting hierarchy of equations may be systematically analysed for both zero and small nonzero diffusivities.
| Original language | English (US) |
|---|---|
| Title of host publication | Fluid Mechanics and its Applications |
| Pages | 157-168 |
| Number of pages | 12 |
| Volume | 71 |
| State | Published - 2004 |
Publication series
| Name | Fluid Mechanics and its Applications |
|---|---|
| Volume | 71 |
| ISSN (Print) | 09265112 |
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ASJC Scopus subject areas
- Mechanical Engineering
- Mechanics of Materials
- Fluid Flow and Transfer Processes
Cite this
Asymptotic structure of fast dynamo eigenfunctions. / Bayly, Bruce J.
Fluid Mechanics and its Applications. Vol. 71 2004. p. 157-168 (Fluid Mechanics and its Applications; Vol. 71).Research output: Chapter in Book/Report/Conference proceeding › Chapter
}
TY - CHAP
T1 - Asymptotic structure of fast dynamo eigenfunctions
AU - Bayly, Bruce J
PY - 2004
Y1 - 2004
N2 - The eigenfunctions of the kinematic dynamo problem exhibit complicated spatial structure when the magnetic diffusivity is small. When the base flow is spatially periodic, we may study this structure by examining the Fourier components of the eigenfunction at large wavevectors. In this regime we may seek a WKB form in terms of slowly-varying functions of wavevector. The resulting hierarchy of equations may be systematically analysed for both zero and small nonzero diffusivities.
AB - The eigenfunctions of the kinematic dynamo problem exhibit complicated spatial structure when the magnetic diffusivity is small. When the base flow is spatially periodic, we may study this structure by examining the Fourier components of the eigenfunction at large wavevectors. In this regime we may seek a WKB form in terms of slowly-varying functions of wavevector. The resulting hierarchy of equations may be systematically analysed for both zero and small nonzero diffusivities.
UR - http://www.scopus.com/inward/record.url?scp=84859822894&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84859822894&partnerID=8YFLogxK
M3 - Chapter
AN - SCOPUS:84859822894
SN - 1402009801
SN - 9781402009808
VL - 71
T3 - Fluid Mechanics and its Applications
SP - 157
EP - 168
BT - Fluid Mechanics and its Applications
ER -