Fluid-dynamic equations for reacting gas mixtures
Applications of Mathematics, Tome 50 (2005) no. 1, pp. 43-62
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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.
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.
DOI :
10.1007/s10492-005-0003-5
Classification :
76P05, 76V05, 80A32, 82C40, 92E20
Keywords: kinetic theory; chemical reaction; Chapman-Enskog expansion
Keywords: kinetic theory; chemical reaction; Chapman-Enskog expansion
@article{10_1007_s10492_005_0003_5,
author = {Bisi, Marzia and Groppi, Maria and Spiga, Giampiero},
title = {Fluid-dynamic equations for reacting gas mixtures},
journal = {Applications of Mathematics},
pages = {43--62},
year = {2005},
volume = {50},
number = {1},
doi = {10.1007/s10492-005-0003-5},
mrnumber = {2117695},
zbl = {1099.82015},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-005-0003-5/}
}
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 SP - 43 EP - 62 VL - 50 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1007/s10492-005-0003-5/ DO - 10.1007/s10492-005-0003-5 LA - en ID - 10_1007_s10492_005_0003_5 ER -
%0 Journal Article %A Bisi, Marzia %A Groppi, Maria %A Spiga, Giampiero %T Fluid-dynamic equations for reacting gas mixtures %J Applications of Mathematics %D 2005 %P 43-62 %V 50 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1007/s10492-005-0003-5/ %R 10.1007/s10492-005-0003-5 %G en %F 10_1007_s10492_005_0003_5
Bisi, Marzia; Groppi, Maria; Spiga, Giampiero. Fluid-dynamic equations for reacting gas mixtures. Applications of Mathematics, Tome 50 (2005) no. 1, pp. 43-62. doi: 10.1007/s10492-005-0003-5
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