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- W2279486168 abstract "Dynamo action at large magnetic Reynolds number R is very sensitive to the streamline topology. A starting point for a systematic study is the 2-dimensional steady spatially periodic flow u’ = (∂ψ’/∂y, -∂ψ’/∂x, Kψ’), ψ’ = sinx siny + δ cosx cosy, where δ,K = constants. Slow dynamo action is possible within the spiralling vortices, and individual modes are localized in the neighbourhood of particular streamsurfaces. When δ = 0, almost fast dynamo action occurs in boundary layers of width R-1/2 containing the streamline separatrices. These connect the stagnation points and bound adjacent vortices. This streamline pattern is structurally unstable, and so, when 0 < δ ≪ 1, channels emerge between the vortices. With the addition of mean motion ū = (M,N,O)/(M2 +N2)1/2, where M,N = relatively prime integers, ∈ ≪ 1, but δ = 0, the streamlines connected to the X-type stagnation points bound channels with multiplicity of order L = M + N, and are dense in the irrational limit L→ ∞. Dynamo action in all these systems is discussed. Results for the latter case shed light on dynamo processes, which may occur in the fully 3-dimensional ABC-flows. There the flow downstream of stagnation points on certain 2-dimensional manifolds provides the sites of possible fast dynamo action. The manifolds form dense subregions, where the fluid particles paths are chaotic." @default.
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- W2279486168 date "1990-01-01" @default.
- W2279486168 modified "2023-09-27" @default.
- W2279486168 title "Large Magnetic Reynolds Number Dynamo Action in Steady Spatially Periodic Flows" @default.
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- W2279486168 doi "https://doi.org/10.1007/978-1-4684-5793-3_52" @default.
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