An Eulerian one-dimensional turbulence model: application to turbulent and multiphase reacting flows

This dissertation presents the development and validation of a variant of the One Dimensional Turbulence model (ODT) in an Eulerian reference frame. The ODT model solves unfiltered governing equations in one spatial dimension with a stochastic model for turbulence. The stand-alone ODT model implemented for this work resolves the full range of length and time scales associated with the flow, in 1D, with detailed chemistry, thermodynamics and transport in the gas phase. The model is first applied to a planar nonpremixed turbulent jet flame and results from the model prediction are compared with DNS data. Results indicate that the model accurately reproduces the DNS data set. Turbulence-chemistry interactions, including trends for extinction and reignition, are captured by the model. Differences observed between model prediction and data are the result of early excess extinction observed in the model. The reasons for the early extinction are discussed within the model context. A parameter sensitivity is also done for the current model. Simulations are performed over a range of jet Reynolds numbers for reacting and nonreacting configurations. Results from the simulations are compared with DNS and experimental data for reacting and nonreacting cases, respectively. Based on the identified sensitivity an empirical correlation is proposed and conclusions are drawn about the parameter estimation. The model is also applied to a planar premixed turbulent jet flame and results from the ODT simulations are compared with DNS data. Two different Da cases are considered in the study and comparisons between the model and DNS data in physical space are shown. Results indicate that the model qualitatively reproduces the DNS data set. Mixing is well captured by the model and the quantitative differences observed between model and data for thermochemistry are due to the curvature effects in the data. The reasons for the differences observed are discussed within the model context.