Nonisenthalpic Interaction of a Planar Premixed Laminar Flame with a Parallel End Wall

The unsteady one-dimensional interaction of a planar flame, propagating through a fuel-lean premixture, with a parallel impervious noncatalytic wall is modeled as a Stefan-type problem incorporating one-step chemistry. Quantitative details concerning retardation of flame speed near an isothermal wall (pertinent to current cooled engines), and concerning acceleration of flame speed near an adiabatic wall (pertinent to proposed engines), are obtained. The time history of unburned hydrocarbon content varies with dimensionless Arrhenius activation energy, the order of the reaction chemistry, and the Lewis-Semenov number. Both temporally varying pressure, and also nonuniform fuel stratification, are discussed.