Shock Waves in an Ultra-Relativistic Fluid

Shock Waves in an Ultra-Relativistic Fluid

The special theory of relativity is used to analyze the motion of plane shock waves in a medium whose equation of state is u = 3p, u being the mass density and p the pressure. The appropriate conservation equations together with this pressure-density relation provide a determinate set of equations f...

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Veröffentlicht in:Proc. Roy. Soc. (London), Ser. A Ser. A, 1964-01, Vol.277 (1368), p.24-31
Hauptverfasser: Mitchell, T. P., Pope, D. L.
Format: Artikel
Sprache:eng
Schlagworte:
BEAMS
DENSITY
EQUATIONS
Equations of state
FLUIDS
GASES
LORENTZ TRANSFORMATIONS
MASS
Mathematical discontinuity
MOTION
Normal shock waves
PHYSICS
PRESSURE
Relativistic particles
Relativity
RELATIVITY THEORY
Shock discontinuity
Shock wave propagation
SHOCK WAVES
Thermodynamics
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Beschreibung
Zusammenfassung:The special theory of relativity is used to analyze the motion of plane shock waves in a medium whose equation of state is u = 3p, u being the mass density and p the pressure. The appropriate conservation equations together with this pressure-density relation provide a determinate set of equations for obtaining the downstream, in terms of the upstream, variables. The properties of normal and oblique shock waves in this gas are studied in the Lorentz frames in which the shocks are at rest.
ISSN:1364-5021
0080-4630
1471-2946
2053-9169
DOI:10.1098/rspa.1964.0003