Stationary flow of gas at very high temperatures and relativistic speeds

Details Stationary flow of gas at very high temperatures and relativistic speeds Stationary flow of gas at very high temperatures and relativistic speeds

Jun 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983phfl...26.1446h&link_type=abstract

Physics of Fluids (ISSN 0031-9171), vol. 26, June 1983, p. 1446-1449.

Physics

2

Gas Flow, High Temperature Gases, Ideal Gas, Relativistic Velocity, Steady Flow, Thermodynamic Equilibrium, Critical Velocity, Electron Energy, Electron-Positron Pairs, Equations Of State, Pair Production, Positrons, Proton Energy, Relativistic Particles, Subsonic Flow, Supersonic Flow

Scientific paper

Some aspects of the stationary flow of an ideal gas when the bulk motion and the temperature are relativistic are studied. Special attention is paid to the presence of electron-positron pairs, as they introduce several complications in the thermodynamics of the gas at temperatures around one billion K. The basic equations of relativistic hydrodynamics are presented, and the subsonic and supersonic flows are treated, generalizing some classical results. The formalism is applied to a relativistic gas of protons, electrons, positrons, and radiation, all at thermal equilibrium. It is found that a critical speed which separates between subsonic and supersonic flows can be unambiguously defined. The thermodynamical variables and their critical values are given in terms of stagnation values for an ultrarelativistic equation of state. A more sophisticated equation of state which includes the effect of pair production does not alter the results by more than 10 percent.

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