Coefficient in hot wire caUbration equation Area of element of domain partition Constants in moment integral calculations Taylor's series coefficients for five-hole probe pressure coefficient functions Coefficient in hot wire calibration equation, constant in law of the wall equation Constants in moment integral calculations Ethylene concentration expressed as a mole fraction Maximum ethylene concentration for a given cross stream concentration distribution Ethylene concentration coefficient Mean concentration Fluctuating concentration Sonic velocity Sonic velocity at isentropic stagnation conditions Constants in moment integral calculations Diameter Turbulent diffusion coefficient tensor components with respect to Cartesian coordinates Molecular diffusion coefficient Scaler turbulent diffusion coefficient Hot wire anemometer bridge voltage Mean hot wire anemometer bridge voltage Fluctuating hot wire anemometer bridge voltage Five-hole probe pressure coefficient functions Boundary layer shape factor xiii k Constant in law of the wall equation L Length Fluctuating turbulent mixing length with respect to Cartesian coordinates Representative turbulent mixing length M Mach number ^centerline Mach number of the axial velocity component at tlie centerline at i/D =-0.5 M* Velocity coefficient n Exponent in hot wire calibration equation, molar quantity of matter "ethylene Molar quantity of ethylene Uy, U: Exponent parameters in transition duct equation p Static pressure j\yQ\\ Surface static pressure ai xfD =-0.5 ^settling chamber Pressure measured in settling chamber PI,... ,7)5 Pressures measured with five-hole probe p* Static pressure coefficient pn Total pressure Po,centerline Centerline total pressure at i/D =-0.5 PQ Total pressure coefficient R Swirl generator radius, straight pipe radius, transition duct inlet radius, autocorrelation function Ty, Tj Radius parameters in transition duct equation Re Reynolds number Critical Reynolds number ReD Transition duct Reynolds number based on transition duct inlet diameter S Trace gas source strength Tu Turbulence intensity xiv U, y, W Ui Velocity components with respect to Cartesian coordinates U, V, W Ui Mean velocity components with respect to Cartesian coordinates u',v',xi)' It'-Fluctuating velocity components with respect to Cartesian coordinates xvi