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Advances In Modeling Mixing And Molecular Transport In Probability Density Function Methods Of Turbulent Reacting Flows
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Book Synopsis Advances in Modeling Mixing and Molecular Transport in Probability Density Function Methods of Turbulent Reacting Flows by : Sharadha Viswanathan
Download or read book Advances in Modeling Mixing and Molecular Transport in Probability Density Function Methods of Turbulent Reacting Flows written by Sharadha Viswanathan and published by . This book was released on 2011 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling of turbulent reacting flow problems using Probability Density Function (PDF) methods yields transport and reaction in closed form while the processes related to the conditional dissipation of species compositions need to be closed using mixing models. First, we study the dispersion from line sources in decaying grid turbulence using a modified form of the Interaction by Exchange with the Conditional Mean (IECM) mixing model. These flows pose a significant challenge to statistical models, because the scalar length scale (of the initial plume) is much smaller than the turbulence integral scale. Consequently, this necessitates incorporating the effects of molecular diffusion in order to model laboratory experiments. The effects of molecular diffusion are modeled by adding a conditional mean scalar drift term and a laminar wake model is used to obtain an analytic expression for the mixing timescale at small times which is subsequently used as part of a general specification of the mixing timescale. Based on this modeling, PDF calculations are performed, and comparison is made primarily with existing experimental and numerical data on single and multiple line sources. A heated mandoline is also considered. This establishes the validity of the proposed model and the significant effect of molecular diffusion on the decay of scalar fluctuations. Next, various numerical implementations of mixing and molecular transport in LES/PDF studies of turbulent reacting flows are evaluated for accuracy using the Method of Manufactured Solutions (MMS). Mixing is modeled using the Interaction by Exchange with the Mean (IEM) model and the effects of molecular transport are incorporated as a mean drift term in the mixing step. This methodology avoids spurious production of scalar variance and also allows direct incorporation of differential diffusion effects. The implementation of the mixing model is shown to be successful in capturing the effects of differential diffusion accurately with the additional property of satisfying detailed conservation and realizability of species mass fractions. Additionally, we present a new variance reduction technique by way of an implicit smoothing methodology. This smoothing scheme is shown to satisfy conservation, boundedness and regularity criteria. Moreover, for an appropriate choice of the smoothing length scale, significant improvements in accuracy can be achieved for an incremental increase in computational cost. Also, it is shown that with smoothing, the bias and statistical errors due to finite number of particles in the Lagrangian Monte Carlo simulations now scale as N[-]1 and tot N[-]1/2 respectively, where Ntot is the total number of particles in the computatot tional domain. Finally, the numerical implementations described are applied to the study of a turbulent reacting jet flame (Sandia Flame D). It is shown that this implementation yields a consistent formulation between the LES and the PDF methods. Further, cross-validation is presented as a numerical technique to assist in the automatic choice of the smoothing length scale and the application of crossvalidation to smoothing of PDF fields is shown to improve the consistency between the LES and PDF fields.
Book Synopsis Modeling and Simulation of Turbulent Mixing and Reaction by : Daniel Livescu
Download or read book Modeling and Simulation of Turbulent Mixing and Reaction written by Daniel Livescu and published by Springer Nature. This book was released on 2020-02-19 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights recent research advances in the area of turbulent flows from both industry and academia for applications in the area of Aerospace and Mechanical engineering. Contributions include modeling, simulations and experiments meant for researchers, professionals and students in the area.
Book Synopsis Turbulent Reactive Flows by : R. Borghi
Download or read book Turbulent Reactive Flows written by R. Borghi and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 958 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turbulent reactive flows are of common occurrance in combustion engineering, chemical reactor technology and various types of engines producing power and thrust utilizing chemical and nuclear fuels. Pollutant formation and dispersion in the atmospheric environment and in rivers, lakes and ocean also involve interactions between turbulence, chemical reactivity and heat and mass transfer processes. Considerable advances have occurred over the past twenty years in the understanding, analysis, measurement, prediction and control of turbulent reactive flows. Two main contributors to such advances are improvements in instrumentation and spectacular growth in computation: hardware, sciences and skills and data processing software, each leading to developments in others. Turbulence presents several features that are situation-specific. Both for that reason and a number of others, it is yet difficult to visualize a so-called solution of the turbulence problem or even a generalized approach to the problem. It appears that recognition of patterns and structures in turbulent flow and their study based on considerations of stability, interactions, chaos and fractal character may be opening up an avenue of research that may be leading to a generalized approach to classification and analysis and, possibly, prediction of specific processes in the flowfield. Predictions for engineering use, on the other hand, can be foreseen for sometime to come to depend upon modeling of selected features of turbulence at various levels of sophistication dictated by perceived need and available capability.
Book Synopsis On the Coalescence-dispersion Modeling of Turbulent Molecular Mixing by : Peyman Givi
Download or read book On the Coalescence-dispersion Modeling of Turbulent Molecular Mixing written by Peyman Givi and published by . This book was released on 1987 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Turbulent Mixing in Nonreactive and Reactive Flows by : S. Murthy
Download or read book Turbulent Mixing in Nonreactive and Reactive Flows written by S. Murthy and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turbulence, mixing and the mutual interaction of turbulence and chemistry continue to remain perplexing and impregnable in the fron tiers of fluid mechanics. The past ten years have brought enormous advances in computers and computational techniques on the one hand and in measurements and data processing on the other. The impact of such capabilities has led to a revolution both in the understanding of the structure of turbulence as well as in the predictive methods for application in technology. The early ideas on turbulence being an array of complicated phenomena and having some form of reasonably strong coherent struc ture have become well substantiated in recent experimental work. We are still at the very beginning of understanding all of the aspects of such coherence and of the possibilities of incorporating such structure into the analytical models for even those cases where the thin shear layer approximation may be valid. Nevertheless a distinguished body of "eddy chasers" has come into existence. The structure of mixing layers which has been studied for some years in terms of correlations and spectral analysis is also getting better understood. Both probability concepts such as intermittency and conditional sampling as well as the concept of large scale structure and the associated strain seem to indicate possibilities of distinguishing and synthesizing 'engulfment' and molecular mixing.
Book Synopsis Turbulent Combustion Modeling by : Tarek Echekki
Download or read book Turbulent Combustion Modeling written by Tarek Echekki and published by Springer Science & Business Media. This book was released on 2010-12-25 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turbulent combustion sits at the interface of two important nonlinear, multiscale phenomena: chemistry and turbulence. Its study is extremely timely in view of the need to develop new combustion technologies in order to address challenges associated with climate change, energy source uncertainty, and air pollution. Despite the fact that modeling of turbulent combustion is a subject that has been researched for a number of years, its complexity implies that key issues are still eluding, and a theoretical description that is accurate enough to make turbulent combustion models rigorous and quantitative for industrial use is still lacking. In this book, prominent experts review most of the available approaches in modeling turbulent combustion, with particular focus on the exploding increase in computational resources that has allowed the simulation of increasingly detailed phenomena. The relevant algorithms are presented, the theoretical methods are explained, and various application examples are given. The book is intended for a relatively broad audience, including seasoned researchers and graduate students in engineering, applied mathematics and computational science, engine designers and computational fluid dynamics (CFD) practitioners, scientists at funding agencies, and anyone wishing to understand the state-of-the-art and the future directions of this scientifically challenging and practically important field.
Book Synopsis Theory and Modeling of Dispersed Multiphase Turbulent Reacting Flows by : Lixing Zhou
Download or read book Theory and Modeling of Dispersed Multiphase Turbulent Reacting Flows written by Lixing Zhou and published by Butterworth-Heinemann. This book was released on 2018-01-25 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory and Modeling of Dispersed Multiphase Turbulent Reacting Flows gives a systematic account of the fundamentals of multiphase flows, turbulent flows and combustion theory. It presents the latest advances of models and theories in the field of dispersed multiphase turbulent reacting flow, covering basic equations of multiphase turbulent reacting flows, modeling of turbulent flows, modeling of multiphase turbulent flows, modeling of turbulent combusting flows, and numerical methods for simulation of multiphase turbulent reacting flows, etc. The book is ideal for graduated students, researchers and engineers in many disciplines in power and mechanical engineering. - Provides a combination of multiphase fluid dynamics, turbulence theory and combustion theory - Covers physical phenomena, numerical modeling theory and methods, and their applications - Presents applications in a wide range of engineering facilities, such as utility and industrial furnaces, gas-turbine and rocket engines, internal combustion engines, chemical reactors, and cyclone separators, etc.
Book Synopsis Computational Models for Turbulent Reacting Flows by : Rodney O. Fox
Download or read book Computational Models for Turbulent Reacting Flows written by Rodney O. Fox and published by Cambridge University Press. This book was released on 2003-10-30 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents
Book Synopsis Velocity/wave-vector Probability Density Function Models for Inhomogeneous Turbulent Flows by : Paul Richard Van Slooten
Download or read book Velocity/wave-vector Probability Density Function Models for Inhomogeneous Turbulent Flows written by Paul Richard Van Slooten and published by . This book was released on 1998 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constructs and implements turbulence models for probability density function (PDF) methods for the computation of turbulent reacting flows. Treats the processes of convection and reaction without further assumptions at this level of closure, while the effects of the fluctuation pressure gradient and the diffusion of the fluctuating velocity by molecular viscosity require modeling. Effects correspond to the pressure-rate-of-strain correlations, the pressure transport, and the dissipation tensor in the Reynolds stress equation. Investigates models for each of these variables.
Book Synopsis Transport Processes in Chemically Reacting Flow Systems by : Daniel E. Rosner
Download or read book Transport Processes in Chemically Reacting Flow Systems written by Daniel E. Rosner and published by Courier Corporation. This book was released on 2012-04-30 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the transport of energy, mass, and momentum in chemically reacting fluids for graduate or undergraduate students with no prior background in fluid mechanics. Solutions to selected exercises.
Book Synopsis Second Order Closure Model for Turbulent Reacting Flows by : Mohammad Farshchi
Download or read book Second Order Closure Model for Turbulent Reacting Flows written by Mohammad Farshchi and published by . This book was released on 1985 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bridging Scales in Modelling and Simulation of Non-Reacting and Reacting Flows. Part I by :
Download or read book Bridging Scales in Modelling and Simulation of Non-Reacting and Reacting Flows. Part I written by and published by Academic Press. This book was released on 2018-03-27 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bridging Scales in Modelling and Simulating Reacting Flows, Part I , Volume 52 presents key methods to bridge scales in the simulation of reacting single phase flows. New sections in the updated release include topics such as quadrature-based moment methods for multiphase chemically reacting flows, the collaboration of experiments and simulations for the development of predictive models, a simulation of turbulent coalescence and breakage of bubbles and droplets in the presence of surfactants, a section on salts and contaminants, and information on the numerical simulation of reactive flows. - Contains reviews by leading authorities in their respective areas - Presents up-to-date reviews of the latest techniques in the modeling of catalytic processes - Includes a broad mix of US and European authors, as well as academic, industrial and research institute perspectives - Provides discussions on the connections between computational and experimental methods
Book Synopsis Turbulence in Mixing Operations by : Robert Brodkey
Download or read book Turbulence in Mixing Operations written by Robert Brodkey and published by Elsevier. This book was released on 2012-12-02 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Turbulence in Mixing Operations: Theory and Application to Mixing and Reaction presents a summary of the current status of research on turbulent motion, mixing, and kinetics. Each chapter of this book discusses turbulence in the context of mixing and reaction in scalar fields. Chapters I and III discuss the classification of turbulent reacting systems and the different possibilities in this context. Chapter II reviews the properties of passive mixing. Chapter IV looks at turbulent mixing in chemically reactive flows. Chapter V uses different techniques to make parallel numerical calculations of both mixing and reaction. Finally, Chapter VI reviews turbulence and actual industrial mixing operations. This book will be of great value for chemical and industrial engineers, especially for those interested in turbulent and industrial mixing.
Book Synopsis Modeling and Simulation of Reactive Flows by : A.L. De Bortoli
Download or read book Modeling and Simulation of Reactive Flows written by A.L. De Bortoli and published by Elsevier. This book was released on 2015-07-10 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling and Simulation of Reactive Flows presents information on modeling and how to numerically solve reactive flows. The book offers a distinctive approach that combines diffusion flames and geochemical flow problems, providing users with a comprehensive resource that bridges the gap for scientists, engineers, and the industry. Specifically, the book looks at the basic concepts related to reaction rates, chemical kinetics, and the development of reduced kinetic mechanisms. It considers the most common methods used in practical situations, along with equations for reactive flows, and various techniques—including flamelet, ILDM, and Redim—for jet flames and plumes, with solutions for both. In addition, the book includes techniques to accelerate the convergence of numerical simulation, and a discussion on the analysis of uncertainties with numerical results, making this a useful reference for anyone who is interested in both combustion in free flow and in porous media. - Helps readers learn how to apply applications of numerical methods to simulate geochemical kinetics - Presents methods on how to transform the transport equations in several coordinate systems - Includes discussions of the basic concepts related to reaction rates, chemical kinetics, and the development of reduced kinetic mechanisms, including the most common methods used in practical situations - Offers a distinctive approach that combines diffusion flames and geochemical flow problems
Book Synopsis Developments in the Probability Density Function Method for Turbulent Flows by : Daniel Connell Haworth
Download or read book Developments in the Probability Density Function Method for Turbulent Flows written by Daniel Connell Haworth and published by . This book was released on 1986 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Turbulent Reactive Mixing in Process Equipment by : Eelco Van Vliet
Download or read book Turbulent Reactive Mixing in Process Equipment written by Eelco Van Vliet and published by Delft University Press. This book was released on 2003-01-01 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a Ph.D. dissertation. The aim of the present research was to explore and shift the limits of both numerical and experimental techniques for studying the coupling of chemical kinetics and hydrodynamics of turbulent reactive flows in industrial geometries. For this purpose, the turbulent liquid-liquid mixing of a reactive process stream in a tubular reactor (Re=4,000) with a perpendicular injector was investigated by means of three-dimensional numerical simulations and an experimental technique to measure the three-dimensional concentration field of mixing scalars. In the numerical approach, the large-scale turbulent motions in the tubular reactor were solved explicitly by means of a large eddy simulation (LES), while the transport and evolution of the reacting scalars were solved by using the transport equation of a filtered version of the scalar joint probability density function (PDF), denoted as filtered density function (FDF). In this way, the advantages of both the LES and the PDF methodology were combined: the large scales are solved explicitly with models taking care of the influence of the non-resolved subgrid scales, without having to model the reaction rate term of the scalar components due to the closed form of this term in the FDF formulation. Due to the high computational costs involved, however, FDF/LES until so far has been applied to relatively simple flows only. In the present dissertation, it is shown that the current level of processor speed and memory storage of relatively cheap parallel Linux clusters has opened the feasibility of FDF/LES to tackle turbulent reactive mixing in process equipment. With FDF/LES, the mixing of the parallel competitive reaction components in a tubular reactor is studied. The yield of the slow reaction product as predicted from the simulations depends in a physically consistent way on both the Damkohler number and the inlet concentration of the feed-str! eam.
Book Synopsis Multiphase reacting flows: modelling and simulation by : Daniele L. Marchisio
Download or read book Multiphase reacting flows: modelling and simulation written by Daniele L. Marchisio and published by Springer Science & Business Media. This book was released on 2007-10-16 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the most widely applicable modeling approaches. Chapters are organized in six groups covering from fundamentals to relevant applications. The book covers particle-based methods and also discusses Eulerian-Eulerian and Eulerian-Lagrangian techniques based on finite-volume schemes. Moreover, the possibility of modeling the poly-dispersity of the secondary phases in Eulerian-Eulerian schemes by solving the population balance equation is discussed.
