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Charles Beans
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Turbulent Flows Pope Pdf


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Turbulent Flows Pope Pdf


Probability density function (pdf) methods provide a complete statistical description of turbulent flow fields at a single point or a finite number of points. Turbulent convection and finite-rate chemistry can be treated in closed and exact form with pdfs in contrast to methods based on statistical moments. The equations for pdfs at a finite number of points are indeterminate due to molecular transport and pressure-gradient terms which require pdfs of higher order. The theoretical foundation of pdfs methods are developed in this paper starting from the exact and linear equations on the functional level. The closure problem for single-point pdf equations is treated in detail and several closure models are analyzed. Turbulent combustion at low Mach numbers constitutes an important area of application and selected results for a turbulent methane flame are presented as an example. The extension of pdf methods to supersonic turbulent flows with and without chemical reactions are outlined. Progress in the numerical solution of pdf equations is reviewed briefly. In the concluding remarks, both the advantages and disadvantages of pdf methods are evaluated.


Steve Pope is the Sibley College Professor of Mechanical Engineering at Cornell University. He received his undergraduate and graduate education in the Mechanical Engineering Department of Imperial College, London. Following post-doctoral positions at Imperial College and in Applied Mathematics at the California Institute of Technology, he joined the Mechanical Engineering faculty at the Massachusetts Institute of Technology, and then moved to Cornell in 1982.Steve Pope's research is in the areas of modeling and simulation of turbulent flows and turbulent combustion. He pioneered the use of probability density function (PDF) models for turbulent reactive flows, and has made various contributions to the statistical modeling of turbulent flows, and to their study via direct numerical simulations. For combustion chemistry, he has developed a number of dimension-reduction and tabulation methodologies. His textbook "Turbulent Flows" was published in 2000.Steve Pope is a Member of the National Academy of Engineering, a Fellow of the Royal Society, the American Academy of Arts and Sciences, the American Physical Society, the Society of Industrial and Applied Mathematics, the Institute of Physics, and the American Society of Engineers. He has been chair of the APS Division of Fluid Dynamics (2006-07), and was program co-chair of the 31st International Combustion Symposium (2006). He is the recipient of the Zeldovich Gold Medal of the Combustion Institute, and of the Fluid Dynamics Prize of the American Physical Society.


Steve Pope is the Sibley College Professor in Mechanical & Aerospace Engineering at Cornell University. He received his undergraduate and graduate education in the Mechanical Engineering Department of Imperial College, London, receiving his B.Sc. and Ph.D. degrees in 1971 and 1976. Following post-doctoral positions at Imperial College and at the California Institute of Technology, he joined the Mechanical Engineering faculty at the Massachusetts Institute of Technology in 1978, and then moved to Cornell in 1982. Steve Popes research is in the areas of modeling and simulation of turbulent flows and turbulent combustion. He pioneered the use of probability density function (PDF) models for turbulent reactive flows, and has made various contributions to the statistical modeling of turbulent flows, and to their study via direct numerical simulations. For combustion chemistry, he has developed a number of dimension reduction and tabulation methodologies. His textbook Turbulent Flows was published in 2000. Steve Pope is a Fellow of the Royal Society, and of: the American Academy of Arts and Sciences; the American Physical Society; the Institute of Physics; and, the Society of Industrial and Applied Mathematics. He has been chair of the APS Division




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