
doi: 10.1137/0143071
The authors develop a simplified asymptotic model for studying nonlinear detonation waves in chemically reacting fluids which propagate with wave speed close to the acoustical sound speed. The two main assumptions in deriving the asymptotic model are weak nonlinearity and a sufficiently high activation energy for the chemical kinetics.
simplified asymptotic model, Thermodynamics of continua, Hugoniot diagram, nonlinear detonation waves, Combustion, Chapman-Jouguet condition, combustible mixture, compressible Navier-Stokes equation, Shock waves and blast waves in fluid mechanics, Chemical kinetics in thermodynamics and heat transfer, eikonal equation, chemically reacting fluids, activation energy, Chemically reacting flows, Mach \(1+epsilon\)-regime, weak nonlinearity
simplified asymptotic model, Thermodynamics of continua, Hugoniot diagram, nonlinear detonation waves, Combustion, Chapman-Jouguet condition, combustible mixture, compressible Navier-Stokes equation, Shock waves and blast waves in fluid mechanics, Chemical kinetics in thermodynamics and heat transfer, eikonal equation, chemically reacting fluids, activation energy, Chemically reacting flows, Mach \(1+epsilon\)-regime, weak nonlinearity
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