One Dimensional Flow in Magnetogasdynamics
In chapters VI to VIII, we considered the plasma as an incompressible fluid of constant density. Actually the density of the plasma changes considerably with the speed as well as with the temperature of the flow. For high-speed flow or large temperature gradient flow or both, the effect of compressibility, i. e., the change of density, must be considered in the study of the flow of plasma. In the next four chapters, we are going to study the flow of plasma including the effect of compressibility. There are many interesting phenomena due to this compressibility effect such as shock wave phenomena. In order to bring out the essential features of the flow of a compressible fluid, we shall discuss the one-dimensional case first. We shall be concerned only with the velocity along a stream tube and the accompanied variations in pressure, density, and temperature of the plasma as well as the magnetic field.
KeywordsShock Wave Mach Number Transition Region Shock Front Uniform State
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- 2.Friedrichs, K. O.: Nonlinear Wave Motion in Magneto-Hydrodynamics. Los Alamos Laboratory Report, 1954.Google Scholar
- 5.Pai, S. I.: On Exact Solutions of One Dimensional Flow Equations of Magneto-Gasdynamics. Proc. IX International Congress of Appl. Mech., 1956, pp. 17–25.Google Scholar
- 6.Pai, S. I.: One Dimensional Unsteady Flow of Magneto-Gasdynamics Proc. Fifth Midwestern Conf. on Fluid Mech., Univ. of Michigan, 1957, pp. 251–261.Google Scholar
- 7.Ru, S. I.: Fluid Dynamics of Jets, Chap. II. D. Van Nostrand Co., Inc., Princeton, N. J., 1954.Google Scholar
- 10.Rosa, R. J., and A. R. Kan Rowitz: Magnetohydrodynamic Energy Conversion Techniques. AVCO Research Report 86, 1959.Google Scholar
- 11.Steo, L., and G. W. Sutton: Prospects of MHD Power Generation Astronautics, vol. 5,. No. 8, 1959.Google Scholar
- 12.Way, S., et al.: Experiments with MHD Power Generation. ASME Publication 60-WA-328,. 1960.Google Scholar