Propagating of sound and thermal waves in a reacting fluid

Computer Science – Sound

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Hydrogen Plasma, Ideal Fluids, Plasma Diffusion, Reaction Kinetics, Sound Propagation, Thermal Radiation, Magnetohydrodynamic Stability, Optical Thickness, Radiation Transport

Scientific paper

The propagation of linear sound and thermal waves in a reacting fluid, in which the heating and cooling processes can be represented by a heat-loss function L(ρ,T,ξ) is studied. A complex dispersion relation is found, from which the phase velocity and the scale length for damping (or amplification), of the above two-wave mode are calculated. Wave amplification may occur in reacting locally stable fluids. Results are applied to a hydrogen plasma model assumed to be heated at a non-specified constant rate and cooled by recombination, excitation, and ionization by collisions, and free-free transitions. The phase velocity v~, the scale-length for damping l~, and the relevant relaxation times are calculated as functions of the dimensionless frequency ω~ for temperatures ranging from those at which the hydrogen plasma is neutral to those at which it becomes completely ionized.

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