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Properties of simple model problems for reacting gas flows

✍ Scribed by J. K. Tegnér

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
851 KB
Volume
17
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

The compressible Navier–Stokes equations for reacting gases are extremely complex. Simpler models have been considered, and for these completely non‐physical propagation speeds have been observed. These model problems are stiff, meaning that several different scales are present in the solution. Numerical solution of non‐reacting flows almost always involves addition of extra dissipation. It will be shown that this action will render a totally wrong propagation speed for a simple model equation of reacting flows. This problem will be accentuated by increasing stiffness of the problem. Existence and uniqueness of a solution to this model equation is proved. The dependence of the propagation speed on the viscosity and a term governing the stiffness (comparable to the reaction rate for a more complete model) is investigated. A remedy for the wrong propagation speed for this simple model equation is proposed such that the speed is correct although the front is smeared out.

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