Granular Flow Studies Through Kinetic Theory and Numerical Simulation Approaches PDF Download
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Author: Rongqing Dai
Publisher:
ISBN:
Category :
Languages : en
Pages : 304
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Book Description
"The investigations of three different topics of granular flows are reported in this thesis. (i) Second order solutions for granular simple shear flows are derived in the framework of granular kinetic theory. Compared to the first order solutions and the inconsistent second order solutions, the second order solutions of the present study provide better predictions of the numerical simulation results. (ii) Granular shear flows within narrow gaps and unbounded fields are studied by a molecular dynamics type discrete element simulation method. The effects of inelasticity and mean solids fraction on the distributions of granular temperatures, solids fractions and number densities of particle centers, and local mean velocities are examined. The slip velocities of bounded shear flows are calculated and the results are compared with the predictions of existing theories. (iii) Granular self-diffusion is investigated through both a kinetic theory and numerical simulation approaches by employing the time correlation function expression to determine the diffusion coefficient. The theoretical predictions agree very well with the simulation results for smooth particles at low concentrations, but at high concentrations the kinetic theory diffusion coefficients are lower than those determined in the computer simulations. The surface friction effect is examined numerically, and it is found that rough particles are less diffusive than smooth ones." --
Author: Rongqing Dai
Publisher:
ISBN:
Category :
Languages : en
Pages : 304
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Book Description
"The investigations of three different topics of granular flows are reported in this thesis. (i) Second order solutions for granular simple shear flows are derived in the framework of granular kinetic theory. Compared to the first order solutions and the inconsistent second order solutions, the second order solutions of the present study provide better predictions of the numerical simulation results. (ii) Granular shear flows within narrow gaps and unbounded fields are studied by a molecular dynamics type discrete element simulation method. The effects of inelasticity and mean solids fraction on the distributions of granular temperatures, solids fractions and number densities of particle centers, and local mean velocities are examined. The slip velocities of bounded shear flows are calculated and the results are compared with the predictions of existing theories. (iii) Granular self-diffusion is investigated through both a kinetic theory and numerical simulation approaches by employing the time correlation function expression to determine the diffusion coefficient. The theoretical predictions agree very well with the simulation results for smooth particles at low concentrations, but at high concentrations the kinetic theory diffusion coefficients are lower than those determined in the computer simulations. The surface friction effect is examined numerically, and it is found that rough particles are less diffusive than smooth ones." --
Author: Sebastian Schmidt
Publisher: Sudwestdeutscher Verlag Fur Hochschulschriften AG
ISBN: 9783838110431
Category :
Languages : de
Pages : 156
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Book Description
In the broad field of numerical simulation of granular flow, many distinct challenges are faced. Aside from the nontrivial task of defining ``granular flow'', the first challenge is its modeling. Still no common scientific agreement has been reached for the exact equations. The vast majority of publications distinctively treats either dilute or dense regimes. Common to nearly all models, the contained equations in their full complexity are very difficult to solve by available numerical methods. The author develops an interdisciplinary approach to the simulation of granular flow in all regimes using a hydrodynamic view on modeling. A system of partial differential equations and constitutive relations is derived through the kinetic theory of granular gases with extensions from soil mechanics. The author introduces a novel nonlinear fractional step approach, which is able to numerically obtain approximate solutions. The simulation method, including modeling and numerics is implemented within a software framework for the generic solution of complex rheology problems developed by the author which results in this in-itself closed method for the numerical simulation of granular flow.
Author: Nan Gui
Publisher: Elsevier
ISBN: 0128163992
Category : Science
Languages : en
Pages : 388
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Book Description
Gas-Particle and Granular Flow Systems: Coupled Numerical Methods and Applications breaks down complexities, details numerical methods (including basic theory, modeling and techniques in programming), and provides researchers with an introduction and starting point to each of the disciplines involved. As the modeling of gas-particle and granular flow systems is an emerging interdisciplinary field of study involving mathematics, numerical methods, computational science, and mechanical, chemical and nuclear engineering, this book provides an ideal resource for new researchers who are often intimidated by the complexities of fluid-particle, particle-particle, and particle-wall interactions in many disciplines. - Presents the most recent advances in modeling of gas-particle and granular flow systems - Features detailed and multidisciplinary case studies at the conclusion of each chapter to underscore key concepts - Discusses coupled methods of particle and granular flow systems theory and includes advanced modeling tools and numerical techniques
Author: Nicola Bellomo
Publisher: Springer Science & Business Media
ISBN: 1461205131
Category : Mathematics
Languages : en
Pages : 429
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Book Description
Modeling complex biological, chemical, and physical systems, in the context of spatially heterogeneous mediums, is a challenging task for scientists and engineers using traditional methods of analysis. Modeling in Applied Sciences is a comprehensive survey of modeling large systems using kinetic equations, and in particular the Boltzmann equation and its generalizations. An interdisciplinary group of leading authorities carefully develop the foundations of kinetic models and discuss the connections and interactions between model theories, qualitative and computational analysis and real-world applications. This book provides a thoroughly accessible and lucid overview of the different aspects, models, computations, and methodology for the kinetic-theory modeling process. Topics and Features: * Integrated modeling perspective utilized in all chapters * Fluid dynamics of reacting gases * Self-contained introduction to kinetic models * Becker–Doring equations * Nonlinear kinetic models with chemical reactions * Kinetic traffic-flow models * Models of granular media * Large communication networks * Thorough discussion of numerical simulations of Boltzmann equation This new book is an essential resource for all scientists and engineers who use large-scale computations for studying the dynamics of complex systems of fluids and particles. Professionals, researchers, and postgraduates will find the book a modern and authoritative guide to the topic.
Author: Thorsten Pöschel
Publisher: Springer Science & Business Media
ISBN: 3540414584
Category : Science
Languages : en
Pages : 454
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Book Description
"Granular Gases" are diluted many-particle systems in which the mean free path of the particles is much larger than the typical particle size, and where particle collisions occur dissipatively. The dissipation of kinetic energy can lead to effects such as the formation of clusters, anomalous diffusion and characteristic shock waves to name but a few. The book is organized as follows: Part I comprises the rigorous theoretical results for the dilute limit. The detailed properties of binary collisions are described in Part II. Part III contains experimental investigations of granular gases. Large-scale behaviour as found in astrophysical systems is discussed in Part IV. Part V, finally, deals with possible generalizations for dense granular systems.
Author: Vicente Garzó
Publisher: Springer
ISBN: 3030044440
Category : Science
Languages : en
Pages : 394
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Book Description
Back Cover Text: This book addresses the study of the gaseous state of granular matter in the conditions of rapid flow caused by a violent and sustained excitation. In this regime, grains only touch each other during collisions and hence, kinetic theory is a very useful tool to study granular flows. The main difference with respect to ordinary or molecular fluids is that grains are macroscopic and so, their collisions are inelastic. Given the interest in the effects of collisional dissipation on granular media under rapid flow conditions, the emphasis of this book is on an idealized model (smooth inelastic hard spheres) that isolates this effect from other important properties of granular systems. In this simple model, the inelasticity of collisions is only accounted for by a (positive) constant coefficient of normal restitution. The author of this monograph uses a kinetic theory description (which can be considered as a mesoscopic description between statistical mechanics and hydrodynamics) to study granular flows from a microscopic point of view. In particular, the inelastic version of the Boltzmann and Enskog kinetic equations is the starting point of the analysis. Conventional methods such as Chapman-Enskog expansion, Grad’s moment method and/or kinetic models are generalized to dissipative systems to get the forms of the transport coefficients and hydrodynamics. The knowledge of granular hydrodynamics opens up the possibility of understanding interesting problems such as the spontaneous formation of density clusters and velocity vortices in freely cooling flows and/or the lack of energy equipartition in granular mixtures. Some of the topics covered in this monograph include: Navier-Stokes transport coefficients for granular gases at moderate densities Long-wavelength instability in freely cooling flows Non-Newtonian transport properties in granular shear flows Energy nonequipartition in freely cooling granular mixtures Diffusion in strongly sheared granular mixtures Exact solutions to the Boltzmann equation for inelastic Maxwell models
Author: Pierre Degond
Publisher: Springer Science & Business Media
ISBN: 0817682007
Category : Mathematics
Languages : en
Pages : 360
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Book Description
In recent years kinetic theory has developed in many areas of the physical sciences and engineering, and has extended the borders of its traditional fields of application. This monograph is a self-contained presentation of such recently developed aspects of kinetic theory, as well as a comprehensive account of the fundamentals of the theory. Emphasizing modeling techniques and numerical methods, the book provides a unified treatment of kinetic equations not found in more focused works. Specific applications presented include plasma kinetic models, traffic flow models, granular media models, and coagulation-fragmentation problems. The work may be used for self-study, as a reference text, or in graduate-level courses in kinetic theory and its applications.
Author: Huilin Lu
Publisher: Springer Nature
ISBN: 9811615586
Category : Technology & Engineering
Languages : en
Pages : 198
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Book Description
This book is for engineers and students to solve issues concerning the fluidized bed systems. It presents an analysis that focuses directly on the problem of predicting the fluid dynamic behavior which empirical data is limited or unavailable. The second objective is to provide a treatment of computational fluidization dynamics that is readily accessible to the non-specialist. The approach adopted in this book, starting with the formulation of predictive expressions for the basic conservation equations for mass and momentum using kinetic theory of granular flow. The analyses presented in this book represent a body of simulations and experiments research that has appeared in numerous publications over the last 20 years. This material helps to form the basis for university course modules in engineering and applied science at undergraduate and graduate level, as well as focused, post-experienced courses for the process, and allied industries.
Author: Marco Mazzuoli
Publisher: Springer Nature
ISBN: 3031555090
Category :
Languages : en
Pages : 224
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Book Description
Author: Pannala, Sreekanth
Publisher: IGI Global
ISBN: 1615206523
Category : Computers
Languages : en
Pages : 500
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Book Description
"This book provides various approaches to computational gas-solids flow and will aid the researchers, graduate students and practicing engineers in this rapidly expanding area"--Provided by publisher.
