A magnetic field in a stationary flow with stretching in a Riemannian manifold fluid
The problem of the kinematic dynamo at large magnetic Reynolds numbers R m is considered using as an example artificial flow with exponential particle stretching, simulating the stationary stochastic flow of a conducting fluid. The magnetic fields which have a periodic dependence on only one coordinate grow in time exponentially and without bound. Each Fourier harmonic of the deviation from this growing field increases initially rapidly with a rate independent of R m during a time interval t.≈t 0 in R m , and then decays very rapidly.
KeywordsMagnetic Field Reynolds Number Mathematical Application Stationary Flow Riemannian Manifold
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