An Anti-Perfect Dynamo Result

It is shown that if the flow vector is a coordinate basis vector, then perfect dynamo action is not possible, regardless of whether the steady flow is compressible. Criteria determining the basis vector property are found to be expressible in terms of Lie derivatives, and construction of basis vecto...

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Bibliographic Details
Published inarXiv.org
Main Author Arter, Wayne
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 04.02.2014
Subjects
Compressibility
Steady flow
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Summary:It is shown that if the flow vector is a coordinate basis vector, then perfect dynamo action is not possible, regardless of whether the steady flow is compressible. Criteria determining the basis vector property are found to be expressible in terms of Lie derivatives, and construction of basis vector sets is straightforward.
ISSN:2331-8422