Academic literature on the topic 'Conditional Moment Closure equation'

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Journal articles on the topic "Conditional Moment Closure equation"

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Kim, Seung Hyun. "On the conditional variance and covariance equations for second-order conditional moment closure." Physics of Fluids 14, no. 6 (2002): 2011–14. http://dx.doi.org/10.1063/1.1473649.

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Mortensen, Mikael, and Robert W. Bilger. "Derivation of the conditional moment closure equations for spray combustion." Combustion and Flame 156, no. 1 (2009): 62–72. http://dx.doi.org/10.1016/j.combustflame.2008.07.007.

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Shiea, Mohsen, Antonio Buffo, Marco Vanni, and Daniele Marchisio. "Numerical Methods for the Solution of Population Balance Equations Coupled with Computational Fluid Dynamics." Annual Review of Chemical and Biomolecular Engineering 11, no. 1 (2020): 339–66. http://dx.doi.org/10.1146/annurev-chembioeng-092319-075814.

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This review article discusses the solution of population balance equations, for the simulation of disperse multiphase systems, tightly coupled with computational fluid dynamics. Although several methods are discussed, the focus is on quadrature-based moment methods (QBMMs) with particular attention to the quadrature method of moments, the conditional quadrature method of moments, and the direct quadrature method of moments. The relationship between the population balance equation, in its generalized form, and the Euler-Euler multiphase flow models, notably the two-fluid model, is thoroughly di
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Swaminathan, N., and R. W. Bilger. "Study of the conditional covariance and variance equations for second order conditional moment closure." Physics of Fluids 11, no. 9 (1999): 2679–95. http://dx.doi.org/10.1063/1.870129.

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Ly, Cheng, and Daniel Tranchina. "Critical Analysis of Dimension Reduction by a Moment Closure Method in a Population Density Approach to Neural Network Modeling." Neural Computation 19, no. 8 (2007): 2032–92. http://dx.doi.org/10.1162/neco.2007.19.8.2032.

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Computational techniques within the population density function (PDF) framework have provided time-saving alternatives to classical Monte Carlo simulations of neural network activity. Efficiency of the PDF method is lost as the underlying neuron model is made more realistic and the number of state variables increases. In a detailed theoretical and computational study, we elucidate strengths and weaknesses of dimension reduction by a particular moment closure method (Cai, Tao, Shelley, & McLaughlin, 2004; Cai, Tao, Rangan, & McLaughlin, 2006) as applied to integrate-and-fire neurons tha
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Huang, Jian, Gordon McTaggart-Cowan, and Sandeep Munshi. "Large-eddy simulation of direct injection natural gas combustion in a heavy-duty truck engine using modified conditional moment closure model with low-dimensional manifold method." International Journal of Engine Research 21, no. 5 (2018): 824–37. http://dx.doi.org/10.1177/1468087418782855.

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This article describes the application of a modified first-order conditional moment closure model used in conjunction with the trajectory-generated low-dimensional manifold method in large-eddy simulation of pilot ignited high-pressure direct injection natural gas combustion in a heavy-duty diesel engine. The article starts with a review of the intrinsic low-dimensional manifold method for reducing detailed chemistry and various formulations for the construction of such manifolds. It is followed by a brief review of the conditional moment closure method for modelling the interaction between tu
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El Sayed, Ahmad, та Roydon A. Fraser. "Consistent Conditional Moment Closure Modelling of a Lifted Turbulent Jet Flame Using the Presumedβ-PDF Approach". Journal of Combustion 2014 (2014): 1–25. http://dx.doi.org/10.1155/2014/507459.

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A liftedH2/N2turbulent jet flame issuing into a vitiated coflow is investigated using the conditional moment closure. The conditional velocity (CV) and the conditional scalar dissipation rate (CSDR) submodels are chosen such that they are fully consistent with the moments of the presumedβprobability density function (PDF). The CV is modelled using the PDF-gradient diffusion model. Two CSDR submodels based on the double integration of the homogeneous and inhomogeneous mixture fraction PDF transport equations are implemented. The effect of CSDR modelling is investigated over a range of coflow te
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WATANABE, Tomoaki, Yasuhiko SAKAI, Kouji NAGATA, Osamu TERASHIMA, and Takashi KUBO. "Scalar Dissipation Rate in a Planar Liquid Jet with a Chemical Reaction (Experimental Study on the Evaluation of the Conditional Moment Closure Equation)." TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B 79, no. 806 (2013): 2066–76. http://dx.doi.org/10.1299/kikaib.79.2066.

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Mortensen, Mikael, and Robert W. Bilger. "“Derivation of the conditional moment closure equations for spray combustion” [Combust. Flame Vol. 155, Issue 3]." Combustion and Flame 155, no. 3 (2008): 369. http://dx.doi.org/10.1016/j.combustflame.2008.10.013.

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Cho, Ji Ryong, та Myung Kyoon Chung. "A K—ε—γ equation turbulence model". Journal of Fluid Mechanics 237 (квітень 1992): 301–22. http://dx.doi.org/10.1017/s0022112092003422.

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By considering the entrainment effect on the intermittency in the free boundary of shear layers, a set of turbulence model equations for the turbulent kinetic energy k, the dissipation rate ε, and the intermittency factor γ is proposed. This enables us to incorporate explicitly the intermittency effect in the conventional K–ε turbulence model equations. The eddy viscosity νt is estimated by a function of K, ε and γ. In contrast to the closure schemes of previous intermittency modelling which employ conditional zone averaged moments, the present model equations are based on the conventional Rey
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Dissertations / Theses on the topic "Conditional Moment Closure equation"

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Ali, Shaukat. "Direct quadrature conditional moment closure for turbulent non-premixed combustion." Thesis, Queen Mary, University of London, 2014. http://qmro.qmul.ac.uk/xmlui/handle/123456789/7868.

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The accurate description of the turbulence chemistry interactions that can determine chemical conversion rates and flame stability in turbulent combustion modelling is a challenging research area. This thesis presents the development and implementation of a model for the treatment of fluctuations around the conditional mean (i.e., the auto-ignition and extinction phenomenon) of realistic turbulence-chemistry interactions in computational fluid dynamics (CFD) software. The wider objective is to apply the model to advanced combustion modelling and extend the present analysis to larger hydrocarbo
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Bushe, William Kendal. "Conditional moment closure methods for autoignition problems." Thesis, University of Cambridge, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.242959.

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Schroll, Peter. "Conditional moment closure for spray combustion and ignition." Thesis, University of Cambridge, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.609129.

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De, Paola Giorgio. "Conditional moment closure for autoignition in turbulent flows." Thesis, University of Cambridge, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.613313.

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Kim, Ik Soo. "Conditional moment closure for non-premixed turbulent combustion." Thesis, University of Cambridge, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.614939.

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Picciani, Mark. "Supersonic combustion modelling using the conditional moment closure approach." Thesis, Cranfield University, 2014. http://dspace.lib.cranfield.ac.uk/handle/1826/9309.

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This work presents a novel algorithm for supersonic combustion modelling. The method involved coupling the Conditional Moment Closure (CMC) model to a fully compressible, shock capturing, high-order flow solver, with the intent of modelling a reacting hydrogen-air, supersonic jet. Firstly, a frozen chemistry case was analysed to validate the implementation of the algorithm and the ability for CMC to operate at its frozen limit. Accurate capturing of mixing is crucial as the mixing and combustion time scales for supersonic flows are on the order of milliseconds. The results of this simulation w
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Amzin, Shokri. "Computations of turbulent premixed flames using conditional moment closure." Thesis, University of Cambridge, 2012. https://www.repository.cam.ac.uk/handle/1810/244193.

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Lean premixed combustion is at present one of the most promising methods to reduce emissions and to maintain high efficiency in combustion systems. As the emission legislation becomes more stringent, modelling of turbulent premixed combustion has become an important tool for designing efficient and environmentally friendlier combustion systems. However, in order to predict these emissions reliable predictive models are required. One of the methods used for predicting pollutants is the conditional moment closure (CMC), which is suitable to predict pollutants with slow time scales. Despite the f
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Wright, Yuri Martin. "Numerical investigation of turbulent spray combustion with conditional moment closure /." Zürich : ETH, 2005. http://e-collection.ethbib.ethz.ch/show?type=diss&nr=16386.

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Yunardi, Y. "Conditional moment closure modelling of sooting, turbulent non-premixed flames." Thesis, University of Leeds, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.445391.

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Martin, Scott Montgomery. "The conditional moment closure method for modeling lean premixed turbulent combustion /." Thesis, Connect to this title online; UW restricted, 2003. http://hdl.handle.net/1773/7088.

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Books on the topic "Conditional Moment Closure equation"

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Inkmann, Joachim. Conditional Moment Estimation of Nonlinear Equation Systems. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56571-7.

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Inkmann, Joachim. Conditional Moment Estimation of Nonlinear Equation Systems: With an Application to an Oligopoly Model of Cooperative R&D (Lecture Notes in Economics and Mathematical Systems). Springer, 2000.

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Book chapters on the topic "Conditional Moment Closure equation"

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Kronenburg, A., and E. Mastorakos. "The Conditional Moment Closure Model." In Turbulent Combustion Modeling. Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-94-007-0412-1_5.

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Amzin, Shokri. "Conditional Moment Closure for Turbulent Premixed Flames." In Energy, Environment, and Sustainability. Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-7410-3_8.

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Navarro-Martinez, S. "Conditional Moment Closure Methods for Turbulent Non-premixed Combustion." In Energy, Environment, and Sustainability. Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-7410-3_9.

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Cleary, M. J., J. H. Kent, and R. W. Bilger. "A Computational Method for Combustion Using Conditional Moment Closure." In Computational Fluid Dynamics 2002. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-59334-5_6.

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Ukai, S., A. Kronenburg, and O. T. Stein. "Certain Aspects of Conditional Moment Closure for Spray Flame Modelling." In High Performance Computing in Science and Engineering ‘14. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-10810-0_23.

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"Combustion Theory and Conditional Moment Closure Modeling." In Advances in Combustion Science: In Honor of Ya. B. Zel'dovich. American Institute of Aeronautics and Astronautics, 1997. http://dx.doi.org/10.2514/5.9781600866456.0263.0275.

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Bilger, R. W. "Conditional moment closure modelling and advanced laser measurements." In Turbulence and Molecular Processes in Combustion. Elsevier, 1993. http://dx.doi.org/10.1016/b978-0-444-89757-2.50024-8.

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Mueller, Christian. "CFD based prediction of a turbulent nonpremixed methane flame using a conditional moment closure approach." In Computational Fluid and Solid Mechanics 2003. Elsevier, 2003. http://dx.doi.org/10.1016/b978-008044046-0.50254-2.

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Bayly, Brian. "Cylindrical Inclusions." In Chemical Change in Deforming Materials. Oxford University Press, 1993. http://dx.doi.org/10.1093/oso/9780195067644.003.0026.

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The purpose of this chapter is to extend the ideas in Chapter 16 to the situation where one material occurs as an inclusion in the other. In Chapters 13 through 15, most of the discussion centered on conditions that varied along one direction, x, but not along orthogonal directions. At several points, a cylindrical tube with fixed radius was imagined, but this was only a handy visualization of the condition where all velocities are zero in planes normal to x. The use of the equations in Chapters 13 through 16 is to describe conditions close to a planar interface of large extent. If the ratio (distance from interface)/(breadth of a planar portion of interface) is small, behavior is as if the interface were infinitely extensive, and it is to this condition that the equations apply. As a step toward understanding behavior around an inclusion, we now consider a long cylinder of one material embedded in an unlimited extent of a second material. The axis of the cylinder is taken as the y-direction and we continue to assume that everything is uniform in this direction: all properties and all behaviors are uniform along y and all velocities along y are zero. But in xz planes we now see a circular cross-section as in Figure 18.1 instead of just a planar boundary. As regards stress state, let this be uniform throughout the host material except insofar as the inclusion causes variation; let the remote stress state have principal compressive stresses σxx and σzz with σzz larger. To start, we make the same assumptions as in Chapter 13, namely that the two materials are uniform and of the same chemical composition, differing only in viscosity; and let the material of the inclusion be stiffer. Because of σzz being larger, the entire assembly will at any moment be shortening along z and elongating along x, and if the cross-section is circular at the moment we inspect it, it will be elliptical at all later times. An impression of how deformation proceeds is given in Figure 18.2, which shows how a grid would look at a later time if it had been a square grid at the moment when the inclusion was circular.
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Conference papers on the topic "Conditional Moment Closure equation"

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Kwon, Ukjin, Mohammad Naghnaeian, and Domitilla Del Vecchio. "Approximation of the Chemical Master Equation using conditional moment closure and time-scale separation." In 2019 American Control Conference (ACC). IEEE, 2019. http://dx.doi.org/10.23919/acc.2019.8814739.

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Martin, Scott, Aleksandar Jemcov, and Björn de Ruijter. "Modeling an Enclosed, Turbulent Reacting Methane Jet With the Premixed Conditional Moment Closure Method." In ASME Turbo Expo 2013: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/gt2013-95092.

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Here the premixed Conditional Moment Closure (CMC) method is used to model the recent PIV and Raman turbulent, enclosed reacting methane jet data from DLR Stuttgart [1]. The experimental data has a rectangular test section at atmospheric pressure and temperature with a single inlet jet. A jet velocity of 90 m/s is used with an adiabatic flame temperature of 2,064 K. Contours of major species, temperature and velocities along with velocity rms values are provided. The conditional moment closure model has been shown to provide the capability to model turbulent, premixed methane flames with detai
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Jakirlic´, S., and R. Jester-Zu¨rker. "Convective Heat Transfer in Wall-Bounded Flows Affected by Severe Fluid Properties Variation: A Second-Moment Closure Study." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-30729.

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Different flow configurations subjected to increasingly enhanced wall heating were selected to be computationally investigated by means of a differential, near-wall second-moment closure model based on the solution of transport equations for second moments of the fluctuating velocities and temperature, ui″uj″͠ and ui″θ͠ respectively. Both Reynolds stress model and heat flux model represent wall-topography free formulations with quadratic pressure-strain term and pressure-temperature-gradient correlation. The transport equations for the turbulent stress tensor and the turbulent heat flux are so
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Liu, Xue, Guohui Li, and Yang Liu. "Numerical Simulation of Particle Dispersion Behavior Under the Reduced Gravity Conditions." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-30014.

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An Euler-Euler two-fluid model based on the second-order-moment closure approach and the granular kinetic theory of dense gas-particle flows was presented. Anisotropy of gas-solid two-phase stress and the interaction between two-phase stresses are fully considered by two-phase Reynolds stress model and the transport equation of two-phase stress correlation. Under the microgravity space environments, hydrodynamic characters and particle dispersion behaviors of dense gas-particle turbulence flows are numerically simulated. Simulation results of particle concentration and particle velocity are in
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Fang, XiaoHang, Nikola Sekularac, and Martin H. Davy. "Parametric Studies of a Novel Combustion Modelling Approach for Low Temperature Diesel Spray Simulation." In ASME 2020 Internal Combustion Engine Division Fall Technical Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/icef2020-2924.

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Abstract Conditional Source-term Estimation (CSE) is a combustion model based on the conditional moment hypothesis where transport equations for reactive species are conditionally averaged on conserved scalars. Major advantages of this strategy are the reduced spatial dependence of the conditional averages and negligible fluctuations around the conditional averages, which considerably simplify the reaction rate closure. Historically, simulations using CSE are limited to low carbon fuels (i.e. methane and hydrogen) where the reduced chemistry manifold can be constructed through techniques inclu
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Thornber, Ben, Assaad Masri, Bob Bilger, and E. Hawkes. "Conditional Moment Closure for LES of Compressible Premixed Combustion." In 41st AIAA Fluid Dynamics Conference and Exhibit. American Institute of Aeronautics and Astronautics, 2011. http://dx.doi.org/10.2514/6.2011-3586.

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Jiang, Leiyong. "A Critical Evaluation of Turbulence Modeling in a Model Combustor." In ASME Turbo Expo 2012: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/gt2012-68414.

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Based on the previous benchmark studies on combustion, scalar transfer and radiation models, a critical evaluation of turbulence models in a propane-air diffusion flame combustor with interior and exterior conjugate heat transfers has been performed. Results obtained from six turbulence models are presented and compared in detail with a comprehensive database obtained from a series of experimental measurements. It is found that the Reynolds stress model (RSM), a second moment closure, is superior over the five popular eddy-viscosity two-equation models. Although the main flow patterns are capt
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Manikantachari, K. R. V., Scott Martin, Jose O. Bobren-Diaz, and Subith Vasu. "Thermal Properties for the Simulation of Direct-Fired sCO2 Combustor." In ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gt2017-63311.

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The direct-fired supercritical CO2 (sCO2) cycle is currently considered as a zero-emission power generation concept. It is of interest to know how to optimize various components of this cycle using computational tools, however, a comprehensive effort on this area is currently lacking. In this work, the behavior of thermal properties of sCO2 combustion at various reaction stages has been investigated by coupling real gas CHEMKIN (CHEMKIN-RG) with an in-house Premixed Conditional Moment Closure (PCMC) code and the high pressure Aramco-2.0 kinetic mechanism. Also, the necessary fundamental inform
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Naghnaeian, Mohammad, and Domitilla Del Vecchio. "Robust moment closure method for the chemical master equation." In 2017 IEEE Conference on Control Technology and Applications (CCTA). IEEE, 2017. http://dx.doi.org/10.1109/ccta.2017.8062585.

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Fairweather, M., and Robert M. Woolley. "Conditional Moment Closure Modelling of a Swirl-stabilised Turbulent Non-premixed Flame." In Turbulence, Heat and Mass Transfer 5. Proceedings of the International Symposium on Turbulence, Heat and Mass Transfer. Begellhouse, 2006. http://dx.doi.org/10.1615/ichmt.2006.turbulheatmasstransf.1280.

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