SOME PROBLEMS IN HYDROMAGNETICS
Expressions for the translational and rotational induction drags of a magnetic sphere in a conducting fluid are derived subject to the restriction that the induced currents do not seriously modify the original magnetic field appreciably. This restriction is not valid for large bodies. The anisotropic character of the induction drag is also evident from the analysis. It is found that the velocity profile of an electrically conducting liquid flowing in a circular pipe transforms itself from a parabola into a plateau as a magnetic field of increasing strength is applied transverse to the flow direction. Properties of current-driven (i) force-free and pressure-bound hydrostatic magnetic fields and (ii) the decaying modes of the magnetic field, (where the decay is due to ohmic losses only) in a fluid sphere and an infinite cylinder are studied. The possibilities of timeindependent magnetic fields are also explored. The change in magnetic energy of a fluid sphere with a prevalent current-driven magnetic field is calculated for Pideformation. It is found that the equilibrium configuration is an oblate spheroid for a poloidal magnetic field, and it is a prolate spheroid for a toroidal magnetic field. Integral formula for the radial adiabatic pulsations of an infinite cylinder with electric currents flowing in its interior is obtained. A problem similar to 'Tunnel Effect' dealt with. It is shown that Alfven waves may be transmitted across a barrier strip of zero inertia if the thickness of the strip is of the order of the wave length. The effect of the transverse magnetic field on the internal energy, enthalpy, entropy, specific heats, and the speed of sound is considered. The analogue of Prandtl's relation is derived and the conditions determining the nature of the fluid fiow are obtained therefrom. The nonrelativistic propagation of plane hydromagnetic shock waves in a medium of infinite electrical conductivity is described. (auth)
- Research Organization:
- University of Southern California., Los Angeles. Engineering Center
- DOE Contract Number:
- AF18(603)-95
- NSA Number:
- NSA-13-015481
- OSTI ID:
- 4244851
- Report Number(s):
- USCEC-56-205; AFOSR-TN-59-265
- Resource Relation:
- Other Information: Orig. Receipt Date: 31-DEC-59
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
ALFVEN WAVES
ANISOTROPY
CONFIGURATION
CURRENTS
CYLINDERS
DECAY
DEFORMATION
ELECTRIC CONDUCTIVITY
ENERGY
ENTHALPY
ENTROPY
FLUID FLOW
FLUIDS
FREQUENCY
LIQUIDS
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
OSCILLATIONS
PIPES
PLASMA WAVES
PRANDTL NUMBER
PRESSURE
PULSES
SHOCK WAVES
SOUND
SPECIFIC HEAT
SPHERES
THERMODYNAMICS
THICKNESS
VELOCITY