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Book ON THE NONLINEAR INTERACTION OF CHARGED PARTICLES WITH FLUIDS

Download or read book ON THE NONLINEAR INTERACTION OF CHARGED PARTICLES WITH FLUIDS written by Elie Abdo and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider three different phenomena governing the fluid flow in the presence of charged particles: electroconvection in fluids, electroconvection in porous media, and electrodiffusion. Electroconvecton in fluids is mathematically represented by a nonlinear drift-diffusion partial differential equation describing the time evolution of a surface charge density in a two-dimensional incompressible fluid. The velocity of the fluid evolves according to Navier-Stokes equations forced nonlinearly by the electrical forces due to the presence of the charge density. The resulting model is reminiscent of the quasi-geostrophic equation, where the main difference resides in the dependence of the drift velocity on the charge density. When the fluid flows through a porous medium, the velocity and the electrical forces are related according to Darcy's law, which yields a challenging doubly nonlinear and doubly nonlocal model describing electroconvection in porous media. A different type of particle-fluid interaction, called electrodiffusion, is also considered. This latter phenomenon is described by nonlinearly advected and nonlinearly forced continuity equations tracking the time evolution of the concentrations of many ionic species having different valences and diffusivities and interacting with an incompressible fluid. This work is based on [1, 2, 3] and addresses the global well-posedness, long-time dynamics, and other features associated with the aforementioned three models. REFERENCES:[1] E. Abdo, M. Ignatova, Long time dynamics of a model of electroconvection, Trans. Amer. Math. Soc. 374 (2021), 5849-5875. [2] E. Abdo, M. Ignatova, Long Time Finite Dimensionality in Charged Fluids, Nonlinearity 34 (9) (2021), 6173-6209. [3] E. Abdo, M. Ignatova, On Electroconvection in Porous Media, to appear in Indiana University Mathematics Journal (2023).

Book Charged Particle and Photon Interactions with Matter

Download or read book Charged Particle and Photon Interactions with Matter written by Yoshihiko Hatano and published by CRC Press. This book was released on 2010-12-13 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on Mozumder's and Hatano's Charged Particle and Photon Interactions with Matter: Chemical, Physicochemical, and Biological Consequences with Applications (CRC Press, 2004), Charged Particle and Photon Interactions with Matter: Recent Advances, Applications, and Interfaces expands upon the scientific contents of the previous volume by cover

Book Interaction of Charged Particles with Solids and Surfaces

Download or read book Interaction of Charged Particles with Solids and Surfaces written by Alberto Gras-Martí and published by Springer. This book was released on 1991 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early in 1989, while most of us were gathered in the Mediterranean five-centuries-old city of Alacant, the idea of a school on stopping and particle penetration phenomena came to our minds. Later that year when discussing this plan with some of the participants in the 13th International Conference on Atomic Collisions in Solids in Aarhus, we were pleased to note that the proposal was warmly welcomed indeed by the community. An Advanced Study Institute on this or a related subject had not been organized in the last decade. Because of the progress made particularly in the interaction of high energy beams with matter, and the many applications which the general subject of the stopping of charged particles (ions and electrons) in matter enjoys, a Study Institute appeared a worthy enterprise. Even though several international conference series cover developments in these areas, they miss tutorial introductions to the field. The title chosen was Interaction of Charged Particles with Solids and Surfaces, and the objectives were stated as follows: "to cover theory and experiments, including selected applications and hot topics, of the stopping of charged particles (ions and electrons) in matter. The emphasis will be on outlining the areas where further effort is needed, and on specifying the basic needs in applications. Fundamental concepts will prevail over applications, and the character of the Institute as a school will be stressed. " The school was directed by Fernando Flores (Spain), Herbert M. Urbassek (Germany), Nestor R.

Book Adhesive Particle Flow

    Book Details:
  • Author : Jeffery S. Marshall
  • Publisher : Cambridge University Press
  • Release : 2014-03-31
  • ISBN : 1107032075
  • Pages : 361 pages

Download or read book Adhesive Particle Flow written by Jeffery S. Marshall and published by Cambridge University Press. This book was released on 2014-03-31 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is targeted at professionals and graduate students working in disciplines where flow of adhesive particles plays a significant role.

Book Nonlinear Electron Wave Interaction Phenomena

Download or read book Nonlinear Electron Wave Interaction Phenomena written by Joseph E. Rowe and published by Academic Press. This book was released on 2013-10-22 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Electron-Wave Interaction Phenomena explores the interaction between drifting streams of charged particles and propagating electromagnetic waves. Of particular concern are the situations in which the wave amplitude is large and there is strong coupling between the charged fluid and the wave. Emphasis is placed on those devices that utilize a defined injected stream of some type. Particle and electromagnetic wave velocities both small and comparable to the velocity of light are considered. Comprised of 16 chapters, this book begins with an introduction to the various classes of devices in which the drifting stream (charged fluid) is composed of electrons and/or ions coupled to a slow electromagnetic wave over an extended region. The discussion then turns to Eulerian versus Lagrangian formulation and radio-frequency equivalent circuits, along with space-charge-field expressions. Subsequent chapters focus on the interaction mechanisms in klystrons, traveling-wave amplifiers, and O-type backward-wave oscillators, as well as crossed-field forward- and backward-wave amplifiers, and traveling-wave energy converters. The book also evaluates multibeam and beam-plasma interactions; phase focusing of electron bunches; pre-bunched electron beams; collector depression techniques; and modulation characteristics. This monograph is designed to serve both as a research monograph for workers in the fields of microwave electron and plasma devices and as a text for advanced graduate students.

Book Relativistic Nonlinear Electrodynamics

Download or read book Relativistic Nonlinear Electrodynamics written by Hamlet Karo Avetissian and published by Springer Science & Business Media. This book was released on 2007-11-24 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book on the subject matter of relativistic nonlinear electrodynamics The book presents new results on various nonlinear electromagnetic phenomena The topics discussed in the book will be the center of fundamental research in the next decade

Book Charged Particles

    Book Details:
  • Author : Malek Maaza
  • Publisher : BoD – Books on Demand
  • Release : 2019-02-20
  • ISBN : 1789853958
  • Pages : 106 pages

Download or read book Charged Particles written by Malek Maaza and published by BoD – Books on Demand. This book was released on 2019-02-20 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: A charged particle is a particle that carries an electric charge and can be discussed in many aspects. This book focuses on cutting-edge and important research topics such as flavor physics to search for new physics via charged particles that appear in different extensions of the standard model, as well as the analysis of ultra-high energy muons using the pair-meter technique. Also included in this book are the idea of the Eloisatron to PeVatron, the important research field of electrostatic waves in magnetized electron/positron plasmas, and the application of charge bodies.

Book Quasilinear and Nonlinear Wave Particle Interactions in Magnetospheric Plasmas

Download or read book Quasilinear and Nonlinear Wave Particle Interactions in Magnetospheric Plasmas written by Oliver Allanson and published by Frontiers Media SA. This book was released on 2023-10-27 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Reviews of Plasma Physics

    Book Details:
  • Author : Vitaly D. Shafranov
  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • ISBN : 146151309X
  • Pages : 345 pages

Download or read book Reviews of Plasma Physics written by Vitaly D. Shafranov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reviews of Plasma Physics Volume 22, contains two reviews. The first Cooperative Effects in Plasmas by the late B.B. Kadomtsev is based on the second edition of the author's book in Russian which originated from his written lectures for students of the Moscow Institute of Physics and Technology. Kadomtsev intended to publish the book in English and even initiated the translation himself. The book represents a review of the typical plasma cooperative phenomena that determine the behavior of laboratory and astrophysical plasmas. It is characterized by lively language. The first three sections of the review deal with linear and nonlinear phenomena in fluids without a magnetic field. An additional subsection 'Solitons' has been added to the third section. The next two sections address regular nonlinear phenomena in a plasma in a magnetic field. The second review by S.V. Bulanov et al is connected with the contents of the first. The physics of the laser-plasma interaction including such nonlinear processes as wave breaking, the acceleration of charged particles, electromagnetic wave self-focusing, the relativistic soliton and vortex generation, are considered analytically and illustrated using computer simulations.

Book Lectures on Fluid Dynamics

    Book Details:
  • Author : Roman Jackiw
  • Publisher : Springer Science & Business Media
  • Release : 2013-03-09
  • ISBN : 1475736657
  • Pages : 121 pages

Download or read book Lectures on Fluid Dynamics written by Roman Jackiw and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains the motivation and reviewing the classical theory in a new form; Discusses conservation laws and Euler equations; For one-dimensional cases, the models presented are completely integrable

Book Astrophysical Plasmas and Fluids

Download or read book Astrophysical Plasmas and Fluids written by VINOD Balakrishnan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Life was simple when the dynamic, the spectral and the resolving powers of our instruments were small. One observed whole objects - planets, stars, sunspots, galaxies, often in rainbow colours. Then the revolution occurred: we acquired the centimetric eyes, the mil limetric eyes, the infrared eyes, the ultraviolet eyes, the X-ray eyes and the ,-ray eyes. With these we see mottles on the surface of stars, streams in sunspots, and spirals in nuclei of galaxies. We see regions of multiple mass densities and temperatures in a precari ous balance, losing it occasionally, exhaling flares. The universe is timed, cosmic phenomena are clocked; eternity is lost and variabil ity is bought. Microarcsecond resolutions revealed stirring and siz zling interiors underneath serene surfaces. Short durations and small scales demanded employing a discipline with similar attributes - the discipline of Plasmas and Fluids - known more for its complexity than for its felicity. Some would like to wish it away. We shall learn about plasmas for it is too little familiarity that breeds fear. Complexity can be systemized, to a large extent, by looking for a common denominator among apparently disparate phe nomena. It is not immediately obvious what the contents and the style of a graduate level course on plasmas and fluids aimed at understanding astrophysical phenomena should be. Plasmas and fluids are huge subjects by themselves. The cosmic phenomena where plasmas and fluids playa definite role are equally diverse and numerous.

Book Bubbles  Drops  and Particles in Non Newtonian Fluids

Download or read book Bubbles Drops and Particles in Non Newtonian Fluids written by R.P. Chhabra and published by CRC Press. This book was released on 2006-07-25 with total page 801 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bubbles, Drops, and Particles in Non-Newtonian Fluids, Second Edition continues to provide thorough coverage of the scientific foundations and the latest advances in particle motion in non-Newtonian media. The book demonstrates how dynamic behavior of single particles can yield useful information for modeling transport processes in complex multipha

Book Nuclear Science Abstracts

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1975 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Computational Overview of Fluid Structure Interaction

Download or read book Computational Overview of Fluid Structure Interaction written by Khaled Ghaedi and published by BoD – Books on Demand. This book was released on 2021-07-28 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid-Structure Interaction (FSI), also known as engineering fluid mechanics, deals with mutual interaction between fluid and structural components. Fluid flow depending on the structural shape, motion, surface, and structural roughness, acts as mechanical forces on the structure. FSI can be seen everywhere in medicine, engineering, aerospace, the sciences, and even our daily life. This book provides the basic concept of fluid flow behavior in interaction with structures, which is crucial for almost all engineering disciplines. Along with the fundamental principles, the book covers a variety of FSI problems ranging from fundamentals of fluid mechanics to plasma physics, wind turbines and their turbulence, heat transfer, magnetohydrodynamics, and dam-reservoir systems.

Book Investigation of Nonlinear Interaction Phenomena in the Ionosphere

Download or read book Investigation of Nonlinear Interaction Phenomena in the Ionosphere written by H. C. Hsieh and published by . This book was released on 1965 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Collective Behavior of Colloidal Particles on Fluid Interface

Download or read book Collective Behavior of Colloidal Particles on Fluid Interface written by Shenghan Yan and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well known that charged colloidal particles may form an effective two dimensional suspension at a fluidic interface. Research toward the understanding of the dynamics and collective behavior of these suspended particles is at the core of engineering Pickering emulsions, which have a broad range of practical applications. In the first half of this dissertation, we will explore the single phase particle monolayer. Although microscopic images and rheological measurements have been obtained in abundance, the underlying physics behind the collective behavior of such systems is yet to be fully understood. We started by examining the attractive and repulsive potentials in this system. In the case of charged colloidal particles at a fluidic interface, capillary attraction rises from the meniscus deformation, which is predominantly due to the mismatch of dielectric constants between the aqueous phase and the non-polar phase. On the other hand, aggregation is prevented by the long range Coulombic repulsion through the non-polar phase as proposed by Aveyard and coworkers. With the basic knowledge of interaction potentials present, Monte Carlo simulation and Brownian dynamics simulation were performed, assuming pair-wise interactions with all physical constants of a system consisting of latex particles trapped at a water-decane interface. Microscopic images of such a system were recorded concurrently, serving as an internal verification of the numerical simulation. Furthermore, the pair distribution function in the radial direction and the angular order parameter, were extracted from the equilibrium configuration of the Monte Carlo simulation as well as real-time microscopic images to investigate the phase transition behaviour. The primitive simulation results agreed with the experimental observation qualitatively, showing a two-dimensional phase transition from a disordered phase to an ordered solid phase as the surface coverage of the particles increases. In the second half of the dissertation, we focus on the coalescence experiments involving a Pickering droplet. Many experiments have been performed where two particle laden interfaces have been brought into close contact in a controlled manner and various observations, including particle "bridging", have been made in an attempt to understand the stabilization mechanism of interfacial particles in a Pickering emulsion. One of the most interesting observations is the tendency for the particles on one interface to "evacuate" and those on the other interface to "aggregate" during the close approach of the surfaces. In this work, we propose to understand the mechanism of particle evacuation- aggregation via a combined experimental and theoretical approach. First, we performed real-time experiments where two particle-laden water-decane interfaces were brought into contact. Many phenomena including particle evacuation-aggregationand bridging were observed. We then developed a Brownian dynamics simulation of the evacuation-aggregation including the important relevant interparticle interactions that we presumed were important in describing the phenomena. In order to do so, we had to answer three questions. First, what are the relevant aspects of the charged particle interaction within the same interface? Second, what is the charge interaction across the two approaching interfaces? Third, what are the flow effects, including the flow between the two interfaces during approach, on the particle motion and how can we model such a flow? Toward this goal, we have incorporated both reasonable electric inter-particle interactions from available literature studies and flow interactions via a porous media model that relates the particle velocity to the local surface coverage through the effective permeability of a porous media. Thus the flow effects are captured in a mean field sense. The BD simulations were able to capture the evacuation-aggregation qualitatively and, in most instances, quantitatively. In particular the diameter of the evacuated area decreases with increasing surface coverage in both simulations and experiments, and we will describe the physical mechanisms leading to this behavior by analyzing the particle force balance in the BD simulations.

Book Dynamics of Bubbles  Drops and Rigid Particles

Download or read book Dynamics of Bubbles Drops and Rigid Particles written by Z. Zapryanov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Objective and Scope Bubbles, drops and rigid particles occur everywhere in life, from valuable industrial operations like gas-liquid contracting, fluidized beds and extraction to such vital natural processes as fermentation, evaporation, and sedimentation. As we become increasingly aware of their fundamental role in industrial and biological systems, we are driven to know more about these fascinating particles. It is no surprise, therefore, that their practical and theoretical implications have aroused great interest among the scientific community and have inspired a growing number of studies and publications. Over the past ten years advances in the field of small Reynolds numbers flows and their technological and biological applications have given rise to several definitive monographs and textbooks in the area. In addition, the past three decades have witnessed enormous progress in describing quantitatively the behaviour of these particles. However, to the best of our knowledge, there are still no available books that reflect such achievements in the areas of bubble and drop deformation, hydrodynamic interactions of deformable fluid particles at low and moderate Reynolds numbers and hydrodynamic interactions of particles in oscillatory flows. Indeed, only one more book is dedicated entirely to the behaviour of bubbles, drops and rigid particles ["Bubbles, Drops and Particles" by Clift et al. (1978)] and the authors state its limitations clearly in the preface: "We treat only phenomena in which particle-particle interactions are of negligible importance. Hence, direct application of the book is limited to single-particle systems of dilute suspensions.