Modeling Heterogeneous Two-Phase Reacting Flow

The balance equations for heterogeneous two-phase reacting flow are deduced by a formal averaging procedure. The equations are compared with alternatives which have been reported in the literature for the study of convective burning in porous beds. Errors in the latter are noted by reference to simple limiting case arguments. The empirical data required to support the balance equation are discussed. The balance equations are shown to be hyperbolic but not totally hyperbolic. Two methods of numerical solution of unsteady quasione-dimensional two-phase flow with discontinuous distributions of porosity are described. Bj,B2,B3 c »P e

Keywords:

• Classical mechanics
• Mathematical optimization
• Balance equation
• Convection
• Limiting
• Porosity
• Mathematics
• empirical data
• Flow (psychology)

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