Turbulent combustion with compositionally inhomogeneous inlets is found in many practical applications. Investigations of inhomogeneous inlet conditions and current modeling of mixed-mode combustion is rather limited. This book presents PDF calculations of piloted turbulent flames where the level of inhomogeneity at the inlet varies and different departures from blow-off exist. Five ¿ames are investigated numerically to study their structure in the region where the interactions between turbulence and chemistry are high. The studied burner has been modified from the standard configuration with the addition of a central tube carrying fuel that can slide within the outer tube carrying air to induce the compositional inhomogeneity at the jet exit plane. A transport equation for the composition PDF is solved using the Lagrangian particle-based Monte Carlo method in FLUENT to facilitate the implementation of detailed chemical kinetics. Extensive comparisons between the predictions and experimental measurements are made. The flame structures are adequately predicted but additional developments are needed to enable the computation of the mixed-modes of combustion present in these flames.