COVARIANT TREATMENT OF LINEARIZED MAGNETO-FLUID DYNAMICS
Journal Article
·
· Zeitschrift fuer Naturforschung (West Germany) Divided into Z. Nautrforsch., A, and Z. Naturforsch., B: Anorg. Chem., Org. Chem., Biochem., Biophys.,
A perfectly conducting, nonviscous fluid was assumed to be permeated by an inhomogeneous, time-independent magnetic field satisfying the magnetohydrostatic equation. This fluid is perturbed by hydromagnetic waves of small amplitude. The wave equation is expressed in a completely covariant form. This formulation allows a search for simplifying coordinate systems intrinsically adapted to the undisturbed field configuration. Hydromagnetic waves with the velocity vector satisfying the equatton div v = 0, which are the naturai generalization of Alfven waves were especially investigated. It is shown that there are simplifying coordinate systems for the hydromagnetic wave equation. Especially it is shown that the solution of the Alfven wave equation can always be reduced to the solution of an ordinary differential equation if in the equilibrium configuration the current is either perpendicular on the magnetic field line or zero. (auth)
- Research Organization:
- Case Inst. of Tech., Cleveland
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-17-026733
- OSTI ID:
- 4701688
- Journal Information:
- Zeitschrift fuer Naturforschung (West Germany) Divided into Z. Nautrforsch., A, and Z. Naturforsch., B: Anorg. Chem., Org. Chem., Biochem., Biophys.,, Journal Name: Zeitschrift fuer Naturforschung (West Germany) Divided into Z. Nautrforsch., A, and Z. Naturforsch., B: Anorg. Chem., Org. Chem., Biochem., Biophys., Vol. Vol: 18a; ISSN ZNTFA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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