On the eigenvalues of kinematic α‐effect dynamos
- 1 January 1977
- journal article
- research article
- Published by Wiley in Astronomische Nachrichten
- Vol. 298 (1) , 19-25
- https://doi.org/10.1002/asna.19772980104
Abstract
The kinematic α‐effect dynamo problem is investigated in the case of an exterior perfect conductor. It is shown that certain approximate symmetries discovered in the numerical analysis of ROBERTS (1972) are exact for this case. As an illustration, an exact solution is given in a cylindrical geometry, where the equations can be written in terms of one variable. The implications for the earth's dynamo are discussed.Keywords
This publication has 9 references indexed in Scilit:
- A Model of the GeodynamoGeophysical Journal of the Royal Astronomical Society, 1975
- The macrodynamics of α-effect dynamos in rotating fluidsJournal of Fluid Mechanics, 1975
- On α‐dynamosStudies in Applied Mathematics, 1974
- Kinematic dynamo modelsPhilosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, 1972
- Turbulent dynamo action at low magnetic Reynolds numberJournal of Fluid Mechanics, 1970
- Erklärung stellarer und planetarer Magnetfelder durch einen turbulenzbedingten DynamomechanismusZeitschrift für Naturforschung A, 1966
- Berechnung der mittleren Lorentz-Feldstärke für ein elektrisch leitendes Medium in turbulenter, durch Coriolis-Kräfte beeinflußter BewegungZeitschrift für Naturforschung A, 1966
- The magneto-hydrodynamics of a rotating fluid and the earth’s dynamo problemProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1963
- SINGULAR INTEGRAL EQUATIONSPublished by Elsevier ,1957