Transport equation for gas-dynamic perturbations in a spatially nonuniform self-igniting medium

An approach is developed to describe the formation and propagation of small gas-dynamic perturbations in a spatially nonuniform self-igniting medium for arbitrary chemical-reaction kinetics. An asymptotic equation describing the variation in the amplitude of the gas-dynamic perturbation along the ch...

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Bibliographic Details
Published in:Combustion, explosion, and shock waves explosion, and shock waves, 2008-05, Vol.44 (3), p.310-316
Main Authors: Zaev, I. A., Kirillov, I. A.
Format: Article
Language:English
Subjects:
Approximation
Asymptotic properties
Classical and Continuum Physics
Classical Mechanics
Control
Dynamical Systems
Engineering
Explosions
Mathematical analysis
Nonuniform
Perturbation
Physical Chemistry
Physics
Physics and Astronomy
Shock waves
Transport equations
Vibration
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Summary:An approach is developed to describe the formation and propagation of small gas-dynamic perturbations in a spatially nonuniform self-igniting medium for arbitrary chemical-reaction kinetics. An asymptotic equation describing the variation in the amplitude of the gas-dynamic perturbation along the characteristic is derived, and the conditions of its applicability are defined. Zel’dovich’s spontaneous flame wave is shown to be a natural zeroth approximation to the solution of the equations of gas dynamics. A method is proposed to determine the point in space at which a shock wave is formed.
ISSN:0010-5082
1573-8345
DOI:10.1007/s10573-008-0039-4