TRANSPORT PROPERTIES IN NON-EQUILIBRIUM AIR MIXTURES

THE PROPOSAL IS (1) TO DETERMINE HOW CLOSELY SIMPLE, WEIGHTED CROSS SECTIONS CAN MATCH THE COLLISION INTEGRALS OF THE CHAPMAN-COWLING FORMULATION, AS A FUNCTION OF TEMPERATURE; (2) TO DEMONSTRATE THAT SIMPLE FORMULAE FOR VISCOSITY, THERMAL CONDUCTIVITY, AND MASS DIFFUSION OF GAS MIXTURES APPROXIMATE THE FUNCTIONAL FORM OF MORE EXACT MODELS; AND (3) TO FIND EMPIRICAL ADJUSTMENTS OF THE CROSS SECTIONS AND/OR CONSTANT COEFFICIENTS IN THE MIXTURE FORMULAE WHICH WILL NOT ONLY RETAIN THE PROPER FUNCTIONAL FORM BUT WILL ALSO QUANTITATIVELY REPRODUCE MORE EXACT MODELS. THE OBJECTIVE IS TO PROVIDE A FAST EFFICIENT ALGORITHM WHICHCAN BE USED IN COMPUTATIONAL FLUID DYNAMICS PROGRAMS WITH THE MOST SPEED POSSIBLE SO THAT THESE PROGRAMS CAN FIND SOLUTIONS TO COMPLEX, NON-EQUILIBRIUM AIRFLOW CONDITIONS IN REASONABLE COMPUTATION TIMES. THE METHODS DEVELOPED WILL ALSO PROVIDE A BASIS FOR QUICK CALCULATION OF TRANSPORT PROPERTIES OF GAS MIXTURES OTHER THAN AIR.