Comparisons of Flame Stretch Calculation Models and Their Applications Part II: Model

Abstract

Model equations of the flame stretch on three dimensional stretched flame surfaces were derived by M. Matalon (1983), S. H. Chung and C. K. Law (1984), and S. M. Candel and T. J. Poinsot (1990) respectively in different forms. When applying their models into numerical and experimental data, the necessary parameters (e.g., flame location, flame migration velocity, flame speed, flow velocity, etc.) are mostly extracted on the flame surface from the data. However, their applications may not be straightforward or clear as some forms are quite complex or needs parameters outside of the flame surface. In this study, to resolve these issues, straightforward expressions were provided for one dimensional circular and spherical flame, and two dimensional steady and unsteady flames. As illustrations, the flame stretches and their constituent terms were evaluated for two dimensional steady and unsteady laminar flames.