NIFS-123

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Author(s):

Y. Kondoh

Title:

Relaxed State of Energy in Incompressible Fluid and Incompressible MHD Fluid

Date of publication:

Dec. 1991

Key words:

thought analysis, general principle to find relaxed states, relaxed state of energy, without helicity, incompressible viscous fluid, incompressible viscous MHD fluid, RFP, earth dynamo

Abstract:

Two examples of application of the general principle to find relaxed states are presented to lead to two new results of the relaxed flow profile given by nabla x u = kappa u in the incompressible viscous fluid and the relaxed state given by { nabla x B = lambda B and nabla x u = kappa u } in the incompressible viscous MHD fluid. The former result suggests that some common phenomena are expected to be observed in the reversed field pinch plasma and in the incompressible viscous fluid. The latter one is expected to have some connections with the field profile of B and the flow pattern of u in the magmas as a result of the earth dynamo.

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