SIMILITUDE AND THE INTERPRETATION OF TURBULENT-DIFFUSION FLAMES

Literature data on turbulent diffusion flames, such as flame length, momentum flux and mass entrainment, is interpreted through the application of dimensional analysis and a simple integral method for solving the equations of a turbulent jet. The integral theory is adapted from that of Peters and Gottgens [1] by introducing Morton's [2] entrainment hypothesis, and nondimensionalizing the equations in accord with Blake and McDonald [3]. The data are shown to be functions of a density weighted Froude number, a flame to ambient density ratio, a Shvab-Zel'dovich variable defined by the stoichiometry of the flame, and the original orientation of the jet.