Mixing and reacting flow with inflow–outflow boundary conditions

We consider the behaviour of mixing reacting compressible flows with inflow–outflow boundary conditions corresponding to the injection of reactants, fuel and oxidizer in a bounded region. Analytical results on the existence of solutions for small time and data are given in the two-dimensional case,...

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Bibliographic Details
Published in:Nonlinear analysis: real world applications 2008-04, Vol.9 (2), p.438-470
Main Authors: Bedin, L., Thompson, M., De Bortoli, A.L.
Format: Article
Language:English
Subjects:
Compressible inflows
Numerical analysis
Reacting flows
Schauder fixed point theorem
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Summary:We consider the behaviour of mixing reacting compressible flows with inflow–outflow boundary conditions corresponding to the injection of reactants, fuel and oxidizer in a bounded region. Analytical results on the existence of solutions for small time and data are given in the two-dimensional case, using extensions of the techniques of Valli and Zajaczowski [Navier–Stokes equations for compressible fluids: global existence and qualitative properties of the solutions in the general case, Commun. Math. Phys. 103 (1986), 259–296]. As well, computational results are presented using finite difference methods.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2006.11.012