Mixing and reacting flow with inflow–outflow boundary conditions |
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Institution: | 1. UFSC, Department of Mathematics, Florianópolis, SC, Brazil;2. UFRGS, Department of Pure and Applied Mathematics, Porto Alegre, RS, Brazil |
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Abstract: | 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. |
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