RENORMALIZATION GROUP FORMULATION OF TURBULENT TRANSPORT IN COMPLEX MEDIA

RENORMALIZATION GROUP (RNG) METHODS ARE APPLIED TO THE DERIVATION OF TURBULENCE TRANSPORT MODELS FOR FLOWS WITH COMPLEX PHYSICS, LIKE TWO-PHASE FLOWS AND COMBUSTING FLOWS. THE RNG METHODS ARE ATTRACTIVE IN THAT THEY GIVE A DERIVATION OF THE APPROPRIATE FUNCTIONAL FORM FOR THE TRANSPORT CLOSURES, RELATE CONSTANTS APPEARING IN THE CLOSURE TO THE STRUCTURE OF HOMOGENEOUS, ISOTROPIC TURBULENCE AT SMALL SCALES, TREAT IN A DYNAMICALLY CONSISTENT WAY THE LOW REYNOLDS NUMBER EFFECTS IN WALL LAYERS, AND PROPERLY ACCOUNT FOR THE INTERFERENCE BETWEEN EDDY AND MOLECULAR EFFECTS. IN PHASE I, TWO PROTOTYPE PROBLEMS ARE CONSIDERED. FIRST, DUSTY GASES WILL STUDIED AS A PROTOTYPE OF TWO-PHASE FLOWS--TRANSPORT APPROXIMATIONS WILL BE DERIVED AND THE RESULTS COMPARED TO EXPERIMENTAL DATA. SECOND, PRE-MIXED FLAMES WILL BE CONSIDERED AS PROTOTYPES OF TURBULENT COMBUSTING MEDIA.