OCR Text |
Show Table 2 CONSTANTS FOR THE GAS PHASE EQUATIONS IN TABLE 1 C C, C0 a, a a^- a au C -, C 0 i j l 2 k e f g H g l g ^ 0.09 1.44 1.92 1.0 1.21 0.9 0.9 0.9 2.0 2.0 The fluid properties for turbulent flow are computed using the relation: = J <Kf) P(f) df (4) where <P is the instantaneous fluid property, P(f) is a probability density function (PDF) that accounts for the fuel-oxidant unraixedness, and the bar (-) denotes an average fluid property. The mean and variance of the PDF must match the values of T and g determined from the modeled conservation equations. Mathematically, the following relations are satisfied: T = f f P(f) df (5) g = J (f - T)2 p(f) df (6) A two-parameter PDF is assumed, and the parameters are determined by a Newton-Raphson iteration. Only the shape of the PDF needs to be specified. Hawthorne, et al. proposed a Gaussian shape; while more (10) recently, Spalding proposed a double-delta shape, and Bilger and Kent and Lockwood and Naguib have proposed truncated Gaussian shapes. A triangular PDF was chosen in this study because of its c -7- |