AN ATTEMPT TO PROVE THE DIFFERENCE-QUOTIENT TURBULENCE MODEL

By introducing the empirically constructed difference-quotient turbule nce model (DQM), in the last decade for some problems of simple turbul ent flows analytical solutions have been worked out. Now, for an axi-s ymmetric case a proof of the DQM is outlined, based on physical laws ( continuity equation and Navier-Stokes equation) and physical principle s (Galilean invariance, self-similarity, isotropy of the turbulence fi eld). A weakness remains, namely the usage of the closure hypotheses.