Micro-PDF methods

Micro-PDF Methods for Turbulent Flow and Reactions Micro-PDF Moment Methods Computational Fluid Dynamics... 

The integration of the single-particle joint-PDF transport equation (12.4.1-11) is tedious. Computer requirements for standard CFD techniques rise exponentially with the dimensionality of the joint-PDF. Therefore, micro-PDF methods commonly use a Monte-Carlo approach [Spielman and Levenspiel, 1965 Kattan and Adler, 1967, 1972 Pope, 1981]. A deterministic system is constructed with stochastic particles whose joint-PDF evolves in the same way as the joint-PDF of fluid particles. The trajectories of the so-called conditional particles define a formal solution of the joint-PDF transport equation (12.4.1-11). Ramkrishna [2000] presents details on the computational methods. 

MICRO-PDF MOMENT METHODS COMPUTATIONAL FLUID DYNAMICS... 

The integration of the transport equation, (12.4.2-2), for the one-point joint velocity-composition micro-PDF, f, is tedious. Also, comparison with measured data is usually only possible at the level of certain moments of f. An approach often tried to reduce the computation, is to derive and solve the transport equations for a limited number of moments of f. In what follows, /will be simply referred to as the micro-PDF. Micro-PDF moment methods are also called Computational Fluid Dynamics (CFD) methods and have been extensively developed over the last decades [Anderson, 1995 Hirsch, 2007]. 

MICRO-PDF MOMENT METHODS COMPUTATIONAE FEUID DYNAMICS 661... 

The present and the next sections address phenomenological models accounting for the effects of micro-mixing on the macro-scale averaged reaction rates. These models do not start from the one-point joint velocity-composition micro-PDF, f v, yf), and do not require micro-PDF moments other than first-order for the species concentration variables. They are in general less accurate, but computationally less demanding than micro-PDF or its moments based methods. 

IAEA (2007) Method for the determination of ergot (Claviceps purpurea Tul.) in animal feedingstuff. http //www.iag-micro.org/files/methoden e ergot.pdf. Accessed 4 Sept 2012... 

Example 12.6. LA Population Balance Model for Micro-Mixing in a Perfectly Macro-Mixed Reactor PDF Moment Method... 

POPULATION BALANCE MODEL FOR MICRO-MIXING IN A PERFECTLY MACRO-MIXED REACTOR PDF MOMENT METHOD... 

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