Magnetogasdynamics and Plasma Dynamics

I. Introduction.- 1. Plasma and plasma dynamics.- 2. Methods of treatment.- 3. Microscopic point of view: - Kinetic theory of plasma.- 4. Macroscopic point of view: - Theory of continuum.- 5. Magnetogasdynamics and magnetohydrodynamics.- References.- II. Fundamental Equations of Plasma Dynamics.- 1. Introduction.- 2. Equation of state.- 3. Equation of continuity.- 4. Equation of motion.- 5. Equation of energy.- 6 Maxwell's equations of electromagnetic field.- 7. Gross variables of the plasma as a whole.- 8. Fundamental equations for the gross quantities of the plasma.- 9. Fundamental equations of plasma dynamics.- 10. Fundamental equations of electro-magneto-gasdynamies.- References.- III. Electromagnetic Equations in Plasma Dynamics.- 1. Introduction.- 2. Maxwell's equations.- 3. Equation of conservation of electrical charge.- 4. Equation of electrical current.- 5. Vector and scalar potentials.- 6. Boundary conditions.- 7. Units in electromagnetic theory.- References.- IV. Magnetogasdynamics and Electromagnetogasdynamics.- 1. Introduction.- 2. Magnetogasdynamic approximations.- 3. Fundamental equations of magnetogasdynamics.- 4. Important parameters in magnetogasdynamics.- 5. Some properties of the fundamental equations of magnetogasdynamics.- 6. Electromagnetogasdynamics.- References.- V. Dimensional Analysis and Important Parameters.- 1. Introduction.- 2. Fully ionized plasma.- 3. Some characteristic velocities, frequencies and lengths in plasma dynamics.- 4. Important parameters of plasma dynamics.- 5 Important parameters for special cases.- References.- VI. Magnetohydrodynamics.- 1. Introduction.- 2. Laminar flow between parallel plates.- 3. Laminar flow in a pipe under external magnetic field.- 4. Laminar flow near a stagnation point.- 5. Inviscid flowpast a magnetized sphere.- 6. Boundary layer flow of a fluid of very small electrical conductivity.- 7. Boundary layer flow of fluid of large or infinite electrical conductivity.- 8. Unsteady motion of a plate. Rayleigh's problem.- 9. The temperature distribution in magnetohydrodynamics.- References.- VII. Stability of Magnetogasdynamic Flows.- 1. Introduction.- 2. Stability equations for parallel flow in magnetohydrodynamics.- 3. Stability of laminar flow between parallel planes in the presence of a coplanar magnetic field.- 4. Stability of laminar flow between parallel planes under a transverse magnetic field.- 5. Stability of boundary layer flow.- 6. Stability of laminar flow between rotating cylinders.- 7. Stability, of a layer of fluid heated below.- 8. Stability of pinch effect.- 9. Experiment of stability of flow in magnetohydrodynamics.- References.- VIII. Turbulence in Magnetohydrodynamics.- 1. Introduction.- 2. Double and triple correlation in isotropic turbulence.- 3. Generalized von Kármán-Howarth equation.- 4. Equations in terms of vector potential.- 5. The dissipation of energy.- 6. Invariants of Loitsiansky's type.- 7. A spontaneous magnetic field in conducting fluid.- 8. Stationary turbulence.- 9. The partition of energy in hydromagnetic turbulence.- References.- IX. One Dimensional Flow in Magnetogasdynamics.- 1. Introduction.- 2. Fundamental equations of one dimensional unsteady flow of magnetogasdynamics.- 3. Steady one dimensional flow.- 4. Generalized Rankine-Hugoniot relations.- 5. Shock wave structure in an inviscid and non-heat-conducting fluid of finite electrical conductivity.- 6. Shock wave structure in a fluid of infinite electrical conductivity.- 7. Shock wave structure in a plasma.- 8. Unsteady flow of an ideal plasma.- 9.Characteristics of the fundamental equations of one-dimensional unsteady flow of magnetogasdynamics.- 10. Steady flow through a nozzle.- 11. Approximate one-dimensional flow in a transverse electromagnetic field.- 12. Magnetohydrodynamic (MHD) power generation.- References.- X. Wave Motion in a Plasma.- 1. Introduction.- 2. Linearized equations of electromagnetogasdynamics.- 3. Electromagnetic waves.- 4. Gasdynamic waves.- 5 Magnetogasdynamic waves.- 6. Electromagnetogasdynamic waves.- References.- XI. Shock Wave Propagation in Magnetogasdynamics.- 1. Introduction.- 2. Oblique shock in magnetogasdynamics.- 3. Oblique shock wave structure in magnetogasdynamics.- 4. Shock wave propagation in an infinitely electrically conductive plasma with transverse magnetic field and gravitation.- 5. Cylindrical shock waves produced by instantaneous energy release.- 6. The penetration of a shock wave into a magnetic field.- References.- XII. Two- and Three-Dimensional Flows in Magnetogasdynamics.- 1. Introduction.- 2. Three-dimensional unsteady flow of an ideal plasma.- 3. Two-dimensional steady flow over a thin body in fluids of large or infinite magnetic Reynolds number.- 4. Linearized theory of airfoils in fluids of low electric conductivity.- 5. Hypersonic flow past a blunt body in magnetogasdynamics.- 6. Two-dimensional boundary layer flow.- References.- XIII. Some Problems of Plasma Dynamics.- 1. Introduction.- 2. Ionization.- 3. Saha relation.- 4. Flow of plasma with variable degree of ionization.- 5. Plasma oscillation.- 6. Electrical conductivity.- 7. Flow with radiation.- 8. Particle motions of a plasma.- References.- XIV. Plasma Dynamics from Microscopic Point of View.- 1. Introduction.- 2. Molecular velocity and its distribution function.- 3. Generalized Boltzmann equation.- 4. Maxwellian distribution.- 5. Relations between kinetic theory and conservation equations.- 6. Transfer equations.- 7. Expressions for the coefficients of diffusion, heat conduction and viscosity.- 8. Plasma oscillations.- 9. Some dimensional considerations of plasma dynamics.- References.- Author Index.