Fluid-dynamic equations for reacting gas mixtures

Marzia Bisi; Maria Groppi; Giampiero Spiga

Applications of Mathematics (2005)

  • Volume: 50, Issue: 1, page 43-62
  • ISSN: 0862-7940

Abstract

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Starting from the Grad 13-moment equations for a bimolecular chemical reaction, Navier-Stokes-type equations are derived by asymptotic procedure in the limit of small mean paths. Two physical situations of slow and fast reactions, with their different hydrodynamic variables and conservation equations, are considered separately, yielding different limiting results.

How to cite

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Bisi, Marzia, Groppi, Maria, and Spiga, Giampiero. "Fluid-dynamic equations for reacting gas mixtures." Applications of Mathematics 50.1 (2005): 43-62. <http://eudml.org/doc/33204>.

@article{Bisi2005,
abstract = {Starting from the Grad 13-moment equations for a bimolecular chemical reaction, Navier-Stokes-type equations are derived by asymptotic procedure in the limit of small mean paths. Two physical situations of slow and fast reactions, with their different hydrodynamic variables and conservation equations, are considered separately, yielding different limiting results.},
author = {Bisi, Marzia, Groppi, Maria, Spiga, Giampiero},
journal = {Applications of Mathematics},
keywords = {kinetic theory; chemical reaction; Chapman-Enskog expansion; kinetic theory; chemical reaction; Chapman-Enskog expansion},
language = {eng},
number = {1},
pages = {43-62},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Fluid-dynamic equations for reacting gas mixtures},
url = {http://eudml.org/doc/33204},
volume = {50},
year = {2005},
}

TY - JOUR
AU - Bisi, Marzia
AU - Groppi, Maria
AU - Spiga, Giampiero
TI - Fluid-dynamic equations for reacting gas mixtures
JO - Applications of Mathematics
PY - 2005
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 1
SP - 43
EP - 62
AB - Starting from the Grad 13-moment equations for a bimolecular chemical reaction, Navier-Stokes-type equations are derived by asymptotic procedure in the limit of small mean paths. Two physical situations of slow and fast reactions, with their different hydrodynamic variables and conservation equations, are considered separately, yielding different limiting results.
LA - eng
KW - kinetic theory; chemical reaction; Chapman-Enskog expansion; kinetic theory; chemical reaction; Chapman-Enskog expansion
UR - http://eudml.org/doc/33204
ER -

References

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  11. Extended Thermodynamics, Springer-Verlag, New York, 1993. (1993) MR1269783
  12. 10.1007/s001610100066, Contin. Mech. Thermodyn. 14 (2002), 207–222. (2002) MR1896837DOI10.1007/s001610100066
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  15. 10.1135/cccc19753421, Collection Czechoslov. Chem. Commun. 40 (1975), 3421–3435. (1975) DOI10.1135/cccc19753421

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