ON THE ROLE OF VISCOSITY AND CONDUCTIVITY IN MAGNETOHYDRODYNAMICS
Technical Report
·
OSTI ID:4156840
Oseen's techniques are used to linearize and find twodimensional fundamental solutions for magnetohydrodynamic flow over solid bodies. The fluid is assumed to be incompressible, with finite viscocity and conductivity. The solutions for the limiting cases of zero viscosity and infinite conductivity are compared with the work of Lary and of Hasimoto; there is essential agreement. The assumption of zero viscosity is valid if sigma mu nu << 1, and the assumption of infinite conductivity is valid if sigma mu nu >> 1. ( sigma is the conductivity; mu is the permeability; and nu is the kinematic viscosity of the fluid.) Two wakes are found: the first wake is always downstream; the second wake is downstream if alpha < 1, and upstream if alpha > 1, where alpha is the Alfven number. The first wake vanishes in the Ilinit of zero viscosity or infinite conductivity. (auth)
- Research Organization:
- California Inst. of Tech., Pasadena. Jet Propulsion Lab.
- NSA Number:
- NSA-14-015376
- OSTI ID:
- 4156840
- Report Number(s):
- JPL-TR-32-3
- Country of Publication:
- United States
- Language:
- English
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