Similitude For Normal Shock Waves In Nonequilibrium Flows

Similarity parameters are developed which govern the length of nonequilibrium zones behind normal shock waves. Non-equilibrium effects produced by both vibrational relaxation and dissociation are considered. The parameters can also account for arbitrary levels of free-stream vibrational energy or dissociation level. The validity of the parameters is examined using numerical computations of the properties of the non-equilibrium fields. These computations are made with the aid of experimentally based rate expressions. The parameters, when written in a form describing the variation of non-equilibrium zone length with Mach number, are shown to have acceptable accuracy. (Author).

The problem of calculating the flow behind a normal shock front is discussed. The additional complication of finite reaction rate chemistry has been included. A numerical method and several results of flow across a shock wave with an eleven-species, thirteen reaction model of air are presented. Results of the method are discussed and compared with those of Hall, Escheroeder, and Marrone (inviscid hypersonic air flows with coupled non-equilibrium processes. IAS 30th annual meeting, Jan 1962). (Author).