SOME EFFECTS OF TENSOR CONDUCTIVITY IN MAGNETOHYDRODYNAMICS
A theoretical investigation concerning some Hall-current effects in inviscid, incompressible magnetohydrodynamics is made. The generalized Ohm's law and the concept of tensor conductivity are discussed. The macroscopic equations governing steady small-perturbation flow of a fully ionized gas are developed for three orientations of an applied magnetic field of inflnite extent. These equations are then solved for flow past an insulating sinusoidal wall. The general solutions, pertaining to arbitrary values of magnetic Reynolds number and Hall parameter, are studied in the limits of large and small magnetic Reynolds number, and characteristic Hall-current lcops are detected. The pressure distribution on the wavy wall is investigated as a function of magnetic Reynolds number and Hall parameter. For the particular cases investigated the influence of nonscalar conductivity is much smaller than elementary considerations would indicate. The classical plane Alfven wave is modified to have a slowly rotating plane of polarization in some analogy with the behavior of a plane-polarized light beam in an optically active medium. The modified Alfen wave is used to explain certain features of the wavy-wall solution for large magnetic Reynolds number and an applied magnetic field perpendicular to the plane of the wall. (auth)
- Research Organization:
- Cornell Univ., Ithaca, N.Y.
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-15-029822
- OSTI ID:
- 4842001
- Journal Information:
- J. Aero/Space Sci., Vol. Vol: 28; Other Information: Orig. Receipt Date: 31-DEC-61
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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