NDLI: The Existence and Behavior of Viscous Structure for Plane Detonation Waves

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Wagner, David H.
Copyright Year	1989
Abstract	A necessary condition and a sufficient condition are proved for the existence of steady plane wave solutions to the NavierStokes equations for a reacting gas. These solutions represent plane detonation waves, and converge to ZND detonation waves as the viscosity, heat conductivity, and species diffusion rates tend to zero. It is assumed that the Prandtl number is $\frac{3}{4}$ , but arbitrary Lewis numbers are permitted. No assumption is made concerning the activation energy.It is shown that the stagnation enthalpy and the entropy flux are always monotone for such solutions, and that the mass density and pressure are nearly always not monotone, as predicted by the ZND theory.In certain parameter ranges, typically that of large diffusion, many of these waves have the appearance of a weak detonation followed by an inert shock wave. This confirms a phenomenon observed in numerical calculations and in a model system by Colella, Majda, and Roytburd.
Starting Page	1035
Ending Page	1054
Page Count	20
File Format	PDF
ISSN	00361410
DOI	10.1137/0520069
e-ISSN	10957154
Journal	SIAM Journal on Mathematical Analysis (SJMAAH)
Issue Number	5
Volume Number	20
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	1989-09-01
Access Restriction	Subscribed
Subject Keyword	Conservation laws Shock waves and blast waves Chemically reacting flows combustion Combustion detonation waves shock waves
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Analysis Computational Mathematics

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