Title: The partial-equilibrium approximation in reacting flows
Abstract: Complex reaction systems that are subject to the partial-equilibrium approximation are analyzed. In order to take proper account of equilibrium and finite rate reactions, a distinction is made between linearly independent and dependent species and reactions, respectively. The assumption of partial equilibrium removes short time scales from the problem and leads to a reduction in the number of independent thermodynamic variables. Making use of a fundamental property of equilibrium reactions, a general formulation for partial chemical equilibrium in complex reaction systems is obtained. Furthermore, a partially frozen sound speed is defined and an analytical expression for this sound speed is given. The concept of partial chemical equilibrium is applied to high-speed reacting flows. A characteristic formulation of the conservation and rate equations is presented. Finally, a high-enthalpy flow, namely the expansion of high-temperature air through the axisymmetric nozzle of a shock tunnel, is calculated using the method of lines.
Publication Year: 1992
Publication Date: 1992-05-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 60
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