Nonlinear Waves in Active Media pp 250-256 | Cite as

# Nonlinear Waves in a Reacting Mixture

Conference paper

## Abstract

The reacting mixture produced by a shock wave, moving in a polytropic gas, is considered in this paper.As well known C1D C23, assuming that the reactant and product are polytropic gas with the same adiabatic constant with the constitutive relations: where ρ,u,p,e are density, particle velocity, pressure, internal energy respectively while λ is the dimensionless progress variable of exothermic chemical reaction representing the mass fraction of product (0≤λ≤1), \(\tilde{w}\) is rate function and finally \(\tilde{\rho}\) and q

*y*, “the governing equation for axisymmetric flows are:$$\begin{array}{*{20}{c}}
{{\rho _t} + u{\rho _x} + \rho {u_x} = - \alpha \rho u/x}&{{\rm{ }}{u_t} + u{u_x} + {p_x}/p = 0}\\
{{e_t} + u{e_x} + (p/\rho ){u_x} = - \alpha (p/\rho )u/x}&{{\lambda _L} + u\lambda = \tilde w/\tilde \tau }
\end{array}\;\;\;\;\;\;(\alpha = 1,2)$$

(1.1)

$$e(p + \rho (\gamma - 1)) - \lambda {q^2}\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\tilde w = \tilde w(\rho ,p,\lambda )$$

(1.2 )

^{z}are the rate constant and heat of reaction.## Keywords

Shock Wave Internal Energy Particle Velocity Constitutive Relation Nonlinear Wave
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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