TURBULENT MIXING OF A TWO-DIMENSIONAL FREE JET.

The two different sets of equations derived by Tollmein and Goertler for the two-dimensional, compressible, free jet mixing layer using the similarity assumption have been programmed for the IBM 7044, and solutions to a wide variety of problems carried out. These solutions demonstrate the validity and accuracy of the method, illustrate the effects of changes in Prandtl number and other parameters, compare results of the Tollmein and Goertler methods, and provide analytical curves used for evaluating the spreading parameter. A new correlation for spreading parameter is presented. A first-order correction for afterburning, assuming complete stoichiometric combustion at a flame front, allows the method to be applied to fuel-rich rocket exhausts. Boundary layer temperature, velocity, and concentration profiles calculated from the Tollmein equations for a number of cold and hot air jets and for rocket engines under various conditions are presented. The most interesting feature of a rocket engine exhaust is the continued high mixing layer temperature as the altitude increases.