12 20 Author: Joshua Tang Supervisor: A/Professor Evatt Hawkes Research Theme: Fundamental and Enabling research Non Premixed Combustion: Modelling Gas Turbine Flames using TPDF methods Research Theme: Fundamental and Enabling research Motivation and Background Non premixed combustion occurs in devices like gas turbines for power generation and aviation. These flames experience extinction if local mixing rates exceed combustion rates. Aviation devices demand smaller combustors which can increase mixing rates creating extinct regions. Power generation applications require lower Pre-processing involved extracting and smoothing of velocity data from the DNS using Matlab. The Composition-TPDF (C-TPDF) method requires velocity flow field information, a 2 equation model such as the k – ε model can be used, however, to reduce modelling errors DNS data was used for the simulation. Simulation Methodology: regions. Power generation applications require lower temperatures to reduce production of NO x , this results in lower combustion rates which can also lead to extinction. . The simulation was run using a Fortran 90 code which simulated the mixing and chemistry of the flame using the C-TPDF method and one of 3 mixing models, IEM, MC or EMST. The chemistry simulation method was identical to the DNS. Output from this program was processed using a specifically designed Matlab script. Results for each model were compared against the DNS In both devices extinction is a problem that can result in flame instability and increased pollutant formation. Extinguished regions can re-ignite, which can help to mitigate these model were compared against the DNS Results: Transported Probability Density Function (TPDF) methods can help to mitigate these effects. Modelling flame extinction and re-ignition is difficult due the random nature of turbulence and the complex interaction between the fluid flow and the underlying chemistry Figure 1: Visualisation of non premixed flames. Note the random nature of flame structures* Aim and Objectives • To develop computationally efficient methods to Figure 3: Temperature (Kelvin) colour maps for DNS and model simulations. Transported Probability Density Function (TPDF) methods offer compelling advantages, in particular, they treat the chemical reaction of the flow without approximation. However, a mixing model is needed to account for the effect of molecular diffusion. The effectiveness of TPDF methods relies heavily on the performance of the mixing model. Methodology: Simulation Scenario: simulate turbulent combustion • To assess the performance of Interaction with the mean (IEM), Modified Curl (MC) and Euclidean Minimum Spanning Tree (EMST) mixing models for use in TPDF methods. for DNS and model simulations. Figure 3 shows that the models can qualitatively predict the extinction and re-ignition events as there is little variance between the DNS and the model maps. A more quantitative measure of performance is given in Figure 3, the spatial temperature and mixture fraction distributions The simulation is based on a Direct numerical simulation (DNS) run by Hawkes, modelling a diffusion flame at Reynolds number (Re) = 2510, using Syn-gas (CO and H 2 ) as fuel. Figure 2 shows simulation configuration, there is one planar slab of fuel in counter flow with 2 slabs of oxidant on either side. Data from this simulation was provided as a validation data set. Figure 4: Temperature (left) and mixture fraction Conclusions: From Figure 4 it can be seen that all models under predict the peak temperature at the jet core (Y=0), with good agreement elsewhere in the simulation. The mixture fraction is over predicted at the jet core however shows almost perfect agreement in other regions for all models. Figure 4: Temperature (left) and mixture fraction (right) distributions at the final time-step Conclusions: The mixing models are all capable of qualitatively predicting the extinction and re-ignition as well as quantitatively predicting the spatial temperature and mixture fraction distributions for the given test case. ENGINEERING @ UNSW UNSW Figure 2: Simulation configuration.** •J. Jarosinski and B. Veyssiere. Combustion Phenomena: selected mechanisms of flame formation, propagation, and extinction. Taylor and Francis Group, 1st edition, 2009. ** D. Lignell, J. Chen, H . Schmultz (2010). Effects of Damköhler number on flame extinction and reignition in turbulent non-premixed flames using DNS. Combustion and Flame, Vol. 158, pp 949 – 963.