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Title: Coupling of chemical reaction with flow and molecular transport (English)
Author: Maas, Ulrich
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 40
Issue: 3
Year: 1995
Pages: 249-266
Summary lang: English
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Category: math
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Summary: During the last years the interest in the numerical simulation of reacting flows has grown considerably. Numerical methods are available, which allow to couple chemical kinetics with flow and molecular transport. However, the use of detailed physical and chemical models, involving more than 100 chemical species, and thus more than 100 species conservation equations, is restricted to very simple flow configurations like one-dimensional systems or two-dimensional systems with very simple geometries, and models are required, which simplify chemistry without sacrificing accuracy. In many chemically reacting flows chemical processes occur with time scales differing by many orders of magnitude (e.g., 10$^{-10}$ s to 1 s in combustion processes), whereas the time scales of flow, molecular transport, and turbulence usually cover a much smaller range of time scales. Based on local time scale analyses it is possible to decouple the fast (and thus not rate limiting) chemical processes. In this way the chemistry can be described in terms of a small number of governing reaction progress variables, and computations of complex reacting flow problems become possible. Examples for calculations with detailed and simplified chemistry are shown for various reacting flows, such as hypersonic reacting flows or combustion processes. (English)
Keyword: numerical simulation
Keyword: flow and molecular transport
Keyword: chemical reactions
Keyword: combustion processes
MSC: 76K05
MSC: 76V05
MSC: 80A32
MSC: 92E20
idZBL: Zbl 0840.76090
idMR: MR1332316
DOI: 10.21136/AM.1995.134293
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Date available: 2009-09-22T17:48:07Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/134293
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