Detonation waves in relativistic hydrodynamics

Journal Article · Sat Feb 15 00:00:00 EST 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.1045· OSTI ID:7235515

Cissoko, M ^[1]

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1. Universite Pierre et Marie Curie, Paris VI, Laboratoire de Gravitation et de Cosmologie Relativistes, Institut Henri Poincare, 11 Rue Pierre et Marie Curie, 7500 Paris (France)

This paper is concerned with an algebraic study of the equations of detonation waves in relativistic hydrodynamics taking into account the pressure and the energy of thermal radiation. A new approach to shock and detonation wavefronts is outlined. The fluid under consideration is assumed to be perfect (nonviscous and nonconducting) and to obey the following equation of state: {ital p}=({gamma}{minus}1){rho} where {ital p}, {rho}, and {gamma} are the pressure, the total energy density, and the adiabatic index, respectively. The solutions of the equations of detonation waves are reduced to the problem of finding physically acceptable roots of a quadratic polynomial {Pi}({ital X}) where {ital X} is the ratio {tau}/{tau}{sub 0} of dynamical volumes behind and ahead of the detonation wave. The existence and the locations of zeros of this polynomial allow it to be shown that if the equation of state of the burnt fluid is known then the variables characterizing the unburnt fluid obey well-defined physical relations.

• OSTI ID: 7235515
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 45:4; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
HYDRODYNAMICS
DETONATION WAVES
STAR MODELS
BARYON NUMBER
ENERGY DENSITY
ENERGY-MOMENTUM TENSOR
ENTHALPY
ENTROPY
EQUATIONS OF STATE
METRICS
POLYNOMIALS
RANKINE-HUGONIOT EQUATIONS
RELATIVISTIC RANGE
REST MASS
THERMAL RADIATION
ELECTROMAGNETIC RADIATION
ENERGY RANGE
EQUATIONS
FLUID MECHANICS
FUNCTIONS
MASS
MATHEMATICAL MODELS
MECHANICS
PHYSICAL PROPERTIES
RADIATIONS
SHOCK WAVES
TENSORS
THERMODYNAMIC PROPERTIES
661100* - Classical & Quantum Mechanics- (1992-)