The monograph is devoted to modern mathematical models and numerical methods for solving gas- and ?uid-dynamic problems based on them. Two interconnected mathematical models generalizing the Navier-Stokes system are presented; they differ from the Navier-Stokes system by additional dissipative terms with a small parameter as a coef?cient. The new models are called the quasi-gas-dynamic and quasi-hydrodynamic equations. Based on these equations, effective ?nite-difference algorithms for calculating viscous nonstationary ?ows are constructed and examples of numerical computations are presented. The universality, the ef?ciency, and the exactness of the algorithms constructed are ensured by the ful?llment of integral conservation laws and the theorem on entropy balance for them. The book is a course of lectures and is intended for scientists and engineers who deal with constructing numerical algorithms and performing practical calculations of gas and ?uid ?ows and also for students and postgraduate students who specialize in numerical gas and ?uid dynamics.

Introduction to Fluid Mechanics, Sixth Edition, is intended to be used in a first course in Fluid Mechanics, taken by a range of engineering majors. The text begins with dimensions, units, and fluid properties, and continues with derivations of key equations used in the control-volume approach. Step-by-step examples focus on everyday situations, and applications. These include flow with friction through pipes and tubes, flow past various two and three dimensional objects, open channel flow, compressible flow, turbomachinery and experimental methods. Design projects give readers a sense of what they will encounter in industry. A solutions manual and figure slides are available for instructors.

Nonlinear Waves in Elastic Media explores the theoretical results of one-dimensional nonlinear waves, including shock waves, in elastic media. It is the first book to provide an in-depth and comprehensive presentation of the nonlinear wave theory while taking anisotropy effects into account. The theory is completely worked out and draws on 15 years of research by the authors, one of whom also wrote the 1965 classic Magnetohydrodynamics.
Nonlinear Waves in Elastic Media emphasizes the behavior of quasitransverse waves and analyzes arbitrary discontinuity disintegration problems, illustrating that the solution can be non-unique - a surprising result. The solution is shown to be especially interesting when anisotropy and nonlinearity effects interact, even in small-amplitude waves. In addition, the text contains an independent mathematical chapter describing general methods to study hyperbolic systems expressing the conservation laws.
The theoretical results described in Nonlinear Waves in Elastic Media allow, for the first time, discovery and interpretation of many new peculiarities inherent to the general problem of discontinuous solutions and so provide a valuable resource for advanced students and researchers involved with continuum mechanics and partial differential equations.

As the first of its kind, this book provides a valuable introduction for scientists and engineers interested in liquid/fluid interfaces and disperse systems to the rapidly developing area of adsorption dynamics. It is the first extensive review available on the subject of dynamics of adsorption and gives a general summary of the current state of adsorption kinetics theory and experiments. Current progress in recently designed set-ups and improved and generalised known methods for studying interfacial relaxations is reviewed. In addition, the role of the electric charge of surfactants in the adsorption process is discussed in terms of a non-equilibrium distribution of adsorbing ions in the diffuse layer.

Present theories of the effect of dynamic adsorption layers on mobile surfaces, such as moving drops and bubbles, based on both diffusion and kinetic controlled adsorption models are described and efficient approximate analytical methods to solve the mathematical problem of coupling surfactant transport and hydrodynamics are introduced. The role of a dynamic adsorption layer in bubble rising, film drainage and film stabilisation and in complex processes such as flotation and microflotation is discussed.

Containing more than 1100 references, the book is essential reading for industrial scientists and graduate and post-graduate students in physical, surface and colloid chemistry, physico-chemical hydrodynamics, water purification and mineral processing.

Written by eminent researchers in the field, this text describes the theory of superconductivity and superfluidity starting from liquid helium and a charged Bose-gas. It also discusses the modern bipolaron theory of strongly coupled superconductors, which explains the basic physical properties of high-temperature superconductors. This book will be of interest to fourth year graduate and postgraduate students, specialist libraries, information centres and chemists working in high-temperature superconductivity.

eBook available with sample pages: 0203211499

A sourcebook offering an up-to-date perspective on a variety of topics and using practical, applications-oriented data necessary for the design and evaluation of internal fluid system pressure losses. It has been prepared for the practicing engineer who understands fluid-flow fundamentals.

Fluid Dynamics via Examples and Solutions provides a substantial set of example problems and detailed model solutions covering various phenomena and effects in fluids. The book is ideal as a supplement or exam review for undergraduate and graduate courses in fluid dynamics, continuum mechanics, turbulence, ocean and atmospheric sciences, and related areas. It is also suitable as a main text for fluid dynamics courses with an emphasis on learning by example and as a self-study resource for practicing scientists who need to learn the basics of fluid dynamics. The author covers several sub-areas of fluid dynamics, types of flows, and applications. He also includes supplementary theoretical material when necessary. Each chapter presents the background, an extended list of references for further reading, numerous problems, and a complete set of model solutions.

The five papers collected in this volume are the content of a series of lectures delivered at the Second Winter School in Fluid Dynamics held in Paseky, Czech Republic, from November 29 to December 4 1992, concerning different fields in theoretical fluid mechanics. The lectures present recent results of the authors' investigations and the majority of the contributions are original results which are not published elsewhere. Specifically, Galdi studies the two-dimensional exterior problem for the steady-state Navier-Stokes equations and Matsumura deals with some basic questions related to existence and stability of one-dimensional flow of compressible fluids. Both papers represent a difficult mathematical approach to solving deep problems. The paper by Girault furnishes a detailed and comprehensive analysis of the Stokes problem in exterior domains that has important consequences on numerical analysis. Litvinov's paper is dedicated to existence theory for a class of equations describing the motions of certain non classical fluids. Finally, the contribution from Rajagopal is a detailed and updated review of non-Newtonian fluid mechanics with emphasis on the different types of constitutive equations.

This book provides a practical guide to molecular dynamics and Monte Carlo simulation techniques used in the modelling of simple and complex liquids. Computer simulation is an essential tool in studying the chemistry and physics of condensed matter, complementing and reinforcing both experiment and theory. Simulations provide detailed information about structure and dynamics, essential to understand the many fluid systems that play a key role in our daily lives: polymers, gels, colloidal suspensions, liquid crystals, biological membranes, and glasses. The second edition of this pioneering book aims to explain how simulation programs work, how to use them, and how to interpret the results, with examples of the latest research in this rapidly evolving field. Accompanying programs in Fortran and Python provide practical, hands-on, illustrations of the ideas in the text.

Aimed at graduate students, researchers and academics in mathematics, engineering, oceanography, meteorology, and mechanics, this text provides a detailed introduction to the physical theory of rotating fluids, a significant part of geophysical fluid dynamics. The text is divided into four parts, with the first part providing the physical background of the geophysical models to be analyzed. Part two is devoted to a self contained proof of the existence of weak (or strong) solutions to the imcompressible Navier-Stokes equations. Part three deals with the rapidly rotating Navier-Stokes equations, first in the whole space, where dispersion effects are considered. The case where the domain has periodic boundary conditions is then analyzed, and finally rotating Navier-Stokes equations between two plates are studied, both in the case of periodic horizontal coordinated and those in R2. In Part IV, the stability of Ekman boundary layers and boundary layer effects in magnetohydrodynamics and quasigeostrophic equations are discussed. The boundary layers which appear near vertical walls are presented and formally linked with the classical Prandlt equations. Finally spherical layers are introduced, whose study is completely open.

Aimed at undergraduate and postgraduate students in physics and applied mathematics, this textbook has been constructed as a set of problems followed by detailed solutions. With its assortment of standard problems for beginners, variations on a theme and original problems based upon new trends and theories in physics, the book aims to help students understand practical aspects of the subject. Topics are grouped under the two main headings of fluid mechanics and the electrodynamics of continuous media. They include vectors, tensors and Fourier transformations, dielectric waves in media, natural optical activity, Cherenkov radiation, non-linear interaction of waves, dynamics of ideal fluids, convection, turbulence and acoustic and shock waves, the theory of elasticity and the mechanics of liquid crystals.

The main objective of the book is to highlight the modeling of magnetic particles with different shapes and magnetic properties, to provide graduate students and young researchers information on the theoretical aspects and actual techniques for the treatment of magnetic particles in particle-based simulations. In simulation, we focus on the Monte Carlo, molecular dynamics, Brownian dynamics, lattice Boltzmann and stochastic rotation dynamics (multi-particle collision dynamics) methods. The latter two simulation methods can simulate both the particle motion and the ambient flow field simultaneously. In general, specialized knowledge can only be obtained in an effective manner under the supervision of an expert. The present book is written to play such a role for readers who wish to develop the skill of modeling magnetic particles and develop a computer simulation program using their own ability. This book is therefore a self-learning book for graduate students and young researchers. Armed with this knowledge, readers are expected to be able to sufficiently enhance their skill for tackling any challenging problems they may encounter in future.

Superfluidity and Superconductivity, Third Edition introduces the low-temperature phenomena of superfluidity and superconductivity from a unified viewpoint. The book stresses the existence of a macroscopic wave function as a central principle, presents an extensive discussion of macroscopic theories, and includes full descriptions of relevant experimental results throughout. This edition also features an additional chapter on high-temperature superconductors. With problems at the end of most chapters as well as the careful elaboration of basic principles, this comprehensive survey of experiment and theory provides an accessible and invaluable foundation for graduate students studying low-temperature physics as well as senior undergraduates taking specialized courses.

This volume comprises the carefully revised papers of the 9th IUTAM Symposium on Laminar-Turbulent Transition, held at the Imperial College, London, UK, in September 2019. The papers focus on the leading research in understanding transition to turbulence, which is a challenging topic of fluid mechanics and arises in many modern technologies as well as in nature. The proceedings are of interest for researchers in fluid mechanics and industry who have to handle these types of problems, such as in the aeronautical sector.

The advancements in micro- and nano-fabrication techniques, especially in the last couple of decades, have led research communities, over the world, to invest unprecedented levels of attention on the science and technology of micro- and nano-scale devices and the concerned applications. With an intense focus on micro- and nanotechnology from a fluidic perspective, Microfluidics and Microscale Transport Processes provides a broad review of advances in this field. A comprehensive compendium of key indicators to recent developments in some very active research topics in microscale transport processes, it supplies an optimal balance between discussions of concrete applications and development of fundamental understanding. The chapters discuss a wide range of issues in the sub-domains of capillary transport, fluidic resistance, electrokinetics, substrate modification, rotational microfluidics, and the applications of the phenomena of these sub-domains in diverse situations ranging from non-biological to biological ones like DNA hybridization and cellular biomicrofluidics. The book also addresses a generic problem of particle transport in nanoscale colloidal suspensions and includes a chapter on Lattice-Boltzmann methods for phase-changing problems which represents a generic particle based approach that may be useful to address many microfluidic problems of interdisciplinary relevance.

Presenting a comprehensive account of the physical concepts and theoretical approaches developed for the study of the dynamical properties of liquids (or, more generally, of high-density fluids), at a microscopic level, this book first discusses the basic dynamical phenomena to be interpreted, as well as the various experimental probes. It then proceeds to an exposition of the sophisticated theoretical techniques needed for a satisfactory account of both single particle and collective motions. The complications are faced in a stepwise fashion, with special attention to the physical content of the results. Based on the results of the progress achieved in the last decade the book provides a satisfactory understanding of most of the phenomena characterising this fascinating field.

This book provides 1-page short biographies of scientists and engineers having worked in the areas of hydraulic engineering and fluid dynamics in the USA. On each page, a notable individual is highlighted by: (1) Exact dates and locations of birth and death; (2) Educational and professional details, including also awards received; (3) Reasons for inclusion in the book by highlighting key publications; (4) Short bibliography including both individual's own, and source literature such as Who's Who details, or origination details of the portrait; (5) In most cases, an illustrative portrait or photo showing, for example, a book cover of the individual, or photograph of a typical work such as a dam or a canal. This volume includes almost 1,000 individuals, of which there are only 2 women. The book also provides a detailed Index, and a 2-page list of individuals (normally born in Europe) listed in previous volumes (1 and 2), but having a relation to this volume 3. The book also contains a map of the USA highlighting the major American rivers, with a close relation to projects carried out by several of the individuals presented in the book. This book provides a beautiful overview of the many scientists and engineers having contributed to the current knowledge in hydraulic engineering and fluid mechanics. The author made every effort in compiling the most important hydraulicians of the USA in this work as it will become much more difficult in future decades to find biographical details on these, given the current policy that so few memoirs or necrologues are published.

Replacing the Traditional Physical Model Approach Computational models offer promise in improving the modeling of shallow water flows. As new techniques are considered, the process continues to change and evolve. Modeling Shallow Water Flows Using the Discontinuous Galerkin Method examines a technique that focuses on hyperbolic conservation laws and includes one-dimensional and two-dimensional shallow water flows and pollutant transports. Combines the Advantages of Finite Volume and Finite Element Methods This book explores the discontinuous Galerkin (DG) method, also known as the discontinuous finite element method, in depth. It introduces the DG method and its application to shallow water flows, as well as background information for implementing and applying this method for natural rivers. It considers dam-break problems, shock wave problems, and flows in different regimes (subcritical, supercritical, and transcritical). Readily Adaptable to the Real World While the DG method has been widely used in the fields of science and engineering, its use for hydraulics has so far been limited to simple cases. The book compares numerical results with laboratory experiments and field data, and includes a set of tests that can be used for a wide range of applications. Provides step-by-step implementation details Presents the different forms in which the shallow water flow equations can be written Places emphasis on the details and modifications required to apply the scheme to real-world flow problems This text enables readers to readily understand and develop an efficient computer simulation model that can be used to model flow, contaminant transport, and other aspects in rivers and coastal environments. It is an ideal resource for practicing environmental engineers and researchers in the area of computational hydraulics and fluid dynamics, and graduate students in computational hydraulics.

This is the third edition of a book which has consistently fulfilled its aim of making a low-priced collection of tables available to the student and practicing engineer. In the second edition all parameters were made non-dimensional. This new edition now includes and additional table of Isentropic flow; it is hoped that this inclusion will significantly increase the range of application of the book's data.

A low-priced collection of tables available to the student and practising engineer
Now includes a table of Isentropic flow=, therefore increasing the range of application of the book's data.

This book presents the solutions to the problems in Convective Heat Transfer. It also contains computer programs to solve homework problems on the CD accompanying the book. Included on the CD are computer programs based on differential and integral methods. Those on differential methods are for two-dimensional flows and allow the user to solve compressible external laminar and turbulent boundary layers, forced and free convection problems between two vertical parallel plates, wall jet problems, turbulent free jet problems, mixing layer between two uniform streams at different temperatures and internal laminar and turbulent flow problems with fully developed velocity profiles. Those programs based on integral methods are for two-dimensional flows and include Thwaites' method for momentum transfer, Smith-Spalding's method for heat transfer, Michel's method for predicting transition, Head's method for momentum transfer and Ambrok's method for heat transfer.

Modelling transport and mixing by turbulence in complex flows are huge challenges for computational fluid dynamics (CFD). This highly readable book introduces readers to modelling levels that respect the physical complexity of turbulent flows. It examines the hierarchy of Reynolds-averaged Navier-Stokes (RANS) closures in various situations ranging from fundamental flows to three-dimensional industrial and environmental applications. The general second-moment closure is simplified to linear eddy-viscosity models, demonstrating how to assess the applicability of simpler schemes and the conditions under which they give satisfactory predictions. The principal changes for the second edition reflect the impact of computing power: a new chapter devoted to unsteady RANS and another on how large-eddy simulation, LES, and RANS strategies can be effectively combined for particular applications. This book will remain the standard for those in industry and academia seeking expert guidance on the modelling options available, and for graduate students in physics, applied mathematics and engineering entering the world of turbulent flow CFD.

This book presents a theoretical study of heat transfer due to laminar natural convection of nanofluids, using Al2O3-water nanofluid as an example. An innovative method of similarity transformation of velocity fields on laminar boundary layers is applied for the development of a mathematical governing model of natural convection with actual nanofluids, and a novel model of the nanofluid's variable thermophysical properties is derived by a mathematical analysis based on the developed model of variable physical properties of fluids combined with the model of the nanofluid's thermal conductivity and viscosity. Based on these, the physical property factors of nanofluids are produced, which leads to a simultaneous solution for deep investigations of hydrodynamics and heat transfer of nanofluid's natural convection. The book also proposes novel predictive formulae for the evaluation of heat transfer of Al2O3-water nanofluid's natural convection. The formulae have reliable theoretical and practical value because they are developed by rigorous theoretical analysis of heat transfer combined with full consideration of the effects of the temperature-dependent physical properties of nanofluids and the nanoparticle shape factor and concentration, as well as variations of fluid boundary temperatures. The conversion factors proposed help to turn the heat transfer coefficient and rate of fluid natural convection into those of nanofluid natural convection. Furthermore, several calculation examples are provided to demonstrate the heat transfer application of the proposed predictive formulae.

Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment. They are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography, physics, and engineering. This is a graduate-level textbook to introduce these phenomena by modeling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized with many figures. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differntial equations, complex variable and the elements of fluid mechanics. The book is aimed at graduate students, but is very useful for specialists in other fields.

The idea of this book is to present the up-to-date research results on Nitrate Esters as explosive materials. It covers many aspects including the material structures, nitrating agent, chemical synthesis devices, preparation technology, and applications etc. In particular, this work sheds light on the comprehensive utilization and thorough destruction of the used Nitrate Easters which is crucial for preventing repeated pollution. This is a highly informative and instructive book providing insight for the researchers working on nitrating theory, energetic materials and chemical equipments.

Introduction to Thermal and Fluid Engineering combines coverage of basic thermodynamics, fluid mechanics, and heat transfer for a one- or two-term course for a variety of engineering majors. The book covers fundamental concepts, definitions, and models in the context of engineering examples and case studies. It carefully explains the methods used to evaluate changes in equilibrium, mass, energy, and other measurable properties, most notably temperature. It then also discusses techniques used to assess the effects of those changes on large, multi-component systems in areas ranging from mechanical, civil, and environmental engineering to electrical and computer technologies.

Includes a motivational student study guide on CD to promote successful evaluation of energy systems

This material helps readers optimize problem solving using practices to determine equilibrium limits and entropy, as well as track energy forms and rates of progress for processes in both closed and open thermodynamic systems. Presenting a variety of system examples, tables, and charts to reinforce understanding, the book includes coverage of:

• How automobile and aircraft engines work
• Construction of steam power plants and refrigeration systems
• Gas and vapor power processes and systems
• Application of fluid statics, buoyancy, and stability, and the flow of fluids in pipes and machinery
• Heat transfer and thermal control of electronic components

Keeping sight of the difference between system synthesis and analysis, this book contains numerous design problems. It would be useful for an intensive course geared toward readers who know basic physics and mathematics through ordinary differential equations but might not concentrate on thermal/fluids science much further. Written by experts in diverse fields ranging from mechanical, chemical, and electrical engineering to applied mathematics, this book is based on the assertion that engineers from all walks absolutely must understand energy processes and be able to quantify them.