1998 · 1.5K citations · 5 references
EngineeringChemical EngineeringChemistryComputational Fluid DynamicsHeat TransferTransport PhenomenaChemical Kinetics ModelingCombustion FundamentalsFinite Difference MethodsFlame PropagationLaminar FlamesPremixed FlamesFinite Difference DiscretizationFlame Species ProfilesLaminar Premixed FlamesMolecular DiffusionMulticomponent TransportPremixed Flame SimulationPremixed Laminar FlamesTemperature Profiles
This report documents a Fortran computer program that computes species and temperature profiles in steady-state burner-stabilized and freely propagating premixed laminar flames. The program accounts for finite rate chemical kinetics and multicomponent molecular transport. After stating the appropriate governing equations and boundary conditions, we discuss the finite difference discretization and the Newton method for solving the boundary value problem. Global convergence of this algorithm is aided by invoking time integration procedures when the Newton method has convergence difficulties. The program runs in conjunction with preprocessors for the chemical reaction mechanism and the transport properties. Transport property formulations include the option of using multicomponent or mixtureaveraged formulas for molecular diffusion. Discussion of two example problems illustrates many of the program's capabilities.
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The mathematical theory of non-uniform gases
Journal of the Franklin Institute · 1953 · 7.7K citations
James A. Miller, Reginald E. Mitchell, Mitchell D. Smooke et al. · Symposium (International) on Combustion · 1982 · 177 citations