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Introduction to Practical Fluid Flow provides essential information on the the solution of practical fluid flow and fluid transportation problems through the application of fluid dynamics.Emphasising the solution of practical operating and design problems using the latest methods, the text concentrates on computer-based methods throughout, in keeping with modern trends in engineering. With a focus on the flow of slurries and non-Newtonian fluids, it will be useful for and engineering students who have to deal with practical fluid flow problems.The book is supported by an accomp
Fluid dynamics. --- Fluid mechanics. --- Hydromechanics --- Continuum mechanics --- Dynamics --- Fluid mechanics
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Continuum mechanics --- Materials --- Milieux continus, Mécanique des --- Matériaux
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Sound --- Sound. --- Acoustics --- Continuum mechanics --- Mathematical physics --- Physics --- Pneumatics --- Radiation --- Wave-motion, Theory of
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This book surveys analytical and numerical techniques appropriate to the description of fluid motion with an emphasis on the most widely used techniques exhibiting the best performance.Analytical and numerical solutions to hyperbolic systems of wave equations are the primary focus of the book. In addition, many interesting wave phenomena in fluids are considered using examples such as acoustic waves, the emission of air pollutants, magnetohydrodynamic waves in the solar corona, solar wind interaction with the planet venus, and ion-acoustic solitons.
Wave-motion, Theory of --- Fluid mechanics --- Hydromechanics --- Continuum mechanics --- Undulatory theory --- Mechanics --- Mathematics.
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This 2002 book discusses the classical foundations of field theory, using the language of variational methods and covariance. It explores the limits of what can be achieved with purely classical notions, and shows how these have a deep and important connection with the second quantized field theory, which follows on from the Schwinger Action Principle. The book takes a pragmatic view of field theory, focusing on issues which are usually omitted from quantum field theory texts and cataloging results which are often hard to find in the literature. Care is taken to explain how results arise and how to interpret them physically, for graduate students starting out in the field. Many physical examples are provided, making the book an ideal supplementary text for courses on elementary field theory, group theory and dynamical systems. It will also be a valuable reference for researchers already working in these and related areas.
Field theory (Physics) --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics
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The term "turbulence” is used for a large variety of dynamical phenomena of fluids in motion whenever the details of the flow appear to be random and average properties are of primary interest. Just as wide ranging are the theoretical methods that have been applied towards a better understanding of fluid turbulence. In this book a number of these methods are described and applied to a broad range of problems from the transition to turbulence to asymptotic turbulence when the inertial part of the spectrum is fully developed. Statistical as well as nonstatistical treatments are presented, but a complete coverage of the subject is not attempted. The book will be of interest to scientists and engineers who wish to familiarize themselves with modern developments in theories of turbulence. The fact that the properties of turbulent fluid flow are addressed from very different points of view makes this volume rather unique among presently available books on turbulence.
Turbulence --- Fluid dynamics --- Fluides, Dynamique des --- Mathematical models. --- Fluids. --- Fluid mechanics. --- Fluid- and Aerodynamics. --- Engineering Fluid Dynamics. --- Hydromechanics --- Continuum mechanics --- Hydraulics --- Mechanics --- Physics --- Hydrostatics --- Permeability
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Nonlocal continuum field theories are concerned with material bodies whose behavior at any interior point depends on the state of all other points in the body -- rather than only on an effective field resulting from these points -- in addition to its own state and the state of some calculable external field. Nonlocal field theory extends classical field theory by describing the responses of points within the medium by functionals rather than functions (the "constitutive relations" of classical field theory). Such considerations are already well known in solid-state physics, where the nonlocal interactions between the atoms are prevalent in determining the properties of the material. The tools developed for crystalline materials, however, do not lend themselves to analyzing amorphous materials, or materials in which imperfections are a major part of the structure. Nonlocal continuum theories, by contrast, can describe these materials faithfully at scales down to the lattice parameter. This book presents a unified approach to field theories for elastic solids, viscous fluids, and heat-conducting electromagnetic solids and fluids that include nonlocal effects in both space and time (memory effects). The solutions to the field equations agree remarkably well with atomic theories and experimental observations.
Field theory (Physics) --- Continuum mechanics. --- Mechanics, applied. --- Mechanics. --- Condensed Matter Physics. --- Theoretical and Applied Mechanics. --- Classical Mechanics. --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Condensed matter. --- Mechanics, Applied. --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids --- Classical field theory --- Continuum physics --- Continuum mechanics
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This concise textbook develops step by step the fundamental principles of continuum mechanics. Emphasis is on mathematical clarity, and an extended appendix provides the required background knowledge in linear algebra and tensor calculus. After introducing the basic notions about general kinematics, balance equations, material objectivity and constitutive functions, the book turns to the presentation of rational thermodynamics by stressing the role of Lagrange multipliers in deriving constitutive funcitions from the underlying entropy principle. A brief lecture on extended thermodynamics closes the book. Many examples and exercises round off the material presented in the chapters. The book addresses primarily advanced undergraduate students in theoretical physics, applied mathematics and materials sciences.
Continuum mechanics. --- Milieux continus, Mécanique des --- 539.3 --- Elasticity. Deformation. Mechanics of elastic solids --- 539.3 Elasticity. Deformation. Mechanics of elastic solids --- Milieux continus, Mécanique des --- Continuum mechanics --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Mechanics. --- Thermodynamics. --- Mechanics, Applied. --- Applied mathematics. --- Engineering mathematics. --- Classical Mechanics. --- Solid Mechanics. --- Applications of Mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Physics --- Heat --- Heat-engines --- Quantum theory --- Classical mechanics --- Newtonian mechanics --- Mathematics
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The method of difference potentials (MDP) was proposed in [1]-[8] and sig nificantly developed in [9]-[101] and some other works. The present book describes the current state of the art in the method of difference potentials and is a revised and essentially supplemented version of the author's first book devoted to this method, which was published by "Nauka" in 1987 [100]. This monograph deals with the MDP apparatus and several of its appli cations, particularly to the following problems: 1. the numerical solution ofinterior and exterior boundary-value problems for systems of partial differential equations; 2. the construction of conditions at the artificial boundary ofthe compu tational domain, which equivalently replace the equations and conditions at infinity in stationary problems of gas flowpast immersed bodies as well as in some other steady-state problems; 3. the spectral approach to the construction of artificial boundary con ditions replacing the equations of propagation of physical fields outside the computational domain containing perturbation sources; 4. the construction of artificial boundary conditions on the boundary of the computational domain for numerically solving the scattering problems in large time in a neighborhood of a fixed or a moving scatterer; 5. the statement and solution of stationary mathematical problems of the active shielding of a given subdomain from the influence of perturbation sources located outside the screened subdomain.
681.3*I29 <063> --- Continuum mechanics --- Potential theory (Mathematics) --- Green's operators --- Green's theorem --- Potential functions (Mathematics) --- Potential, Theory of --- Mathematical analysis --- Mechanics --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Robotics: manipulators; propelling mechanisms; sensors (Artificial intelli- gence)--Congressen --- Continuum mechanics. --- Potential theory (Mathematics). --- 681.3*I29 <063> Robotics: manipulators; propelling mechanisms; sensors (Artificial intelli- gence)--Congressen --- Mathematical analysis. --- Analysis (Mathematics). --- Numerical analysis. --- Functions of complex variables. --- Mathematical physics. --- Analysis. --- Numerical Analysis. --- Functions of a Complex Variable. --- Theoretical, Mathematical and Computational Physics. --- Physical mathematics --- Physics --- Complex variables --- Elliptic functions --- Functions of real variables --- 517.1 Mathematical analysis --- Mathematics
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