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The purpose of the present study is a to demonstrate and validate the use of the conserved scalar/assumed pdf approach to simulate turbulent mixing. To achieve this goal a numerical simulation of an experimental bench-mark problem is performed. A two-dimensional finite volume axisymmetric model numerically simulates the steady state passive scalar/air mixing. The computational study is conducted by solving the Reynolds Averaged Navier Stokes (RANS) flowfield governing transport equations. The turbulent fluctuations are computed by the two-equation k-e model. In addition to the flowfield variables, the model also solves for the mean and variance of the passive scalar concentration. To calculate the mean density, the probability density function (pdf) of the mixture fraction is assumed to follow the Beta-function distribution. The mean density is then computed by the convolution integral of the instantaneous density over the mixture fraction space.