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 Mortonʹs [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-Zelʹdovich variable defined by the stoichiometry of the flame, and the original orientation of the jet.