In this authoritative and comprehensive volume, Claude Bardos and Andrei Fursikov have drawn together an impressive array of international contributors to present important recent results and perspectives in this area. The main subjects that appear here relate largely to mathematical aspects of the theory but some novel schemes used in applied mathematics are also presented. Various topics from control theory, including Navier-Stokes equations, are covered.

This is the most up-to-date, comprehensive, and practical book on the subject available, explaining the concepts and related practical implementations of all major hot-wire anemometry applications. It introduces the logical framework for a computer-based HWA system and identifies the individual steps in the complete experimental procedure, ranging from probe selection to the presentation of analysed data. This major work will be invaluable as a reference for students, engineers, and researchers engaged in the field.

In the tradition of its predecessors, this volume comprises a selection of the best papers presented at the Ninth International Symposium on Applications of Laser Techniques to Fluid Mechanics, held in Lisbon in July 2000.
The papers reflect the state-of-the-art in laser applications of laser techniques in fluid mechanics describing novel ideas for instrumentation, instrumentation developments, results of measurements of wall-bounded flows, free flows and flames and flow and combustion in engines. The papers demonstrate the continuing interest in the development of an understanding of new methodologies and implementation in terms of new instrumentation.

The book contains high quality papers presented in conference Recent Advances in Mechanical Infrastructure (ICRAM-2019) held at IITRAM, Ahmedabad, India from 20-21 April, 2019.The topics covered in this book are recent advances in thermal infrastructure, manufacturing infrastructure and infrastructure planning and design.

POLYMER MODELS AND EQUILIBRIUM PROPERTIES.

Mechanical Models for Polymer Molecules.

Equilibrium Configurations of Polymer Molecules.

ELEMENTARY APPROACH TO KINETIC THEORY.

Elastic Dumbbell Models.

The Rigid Dumbbell and Multibead-Rod Models.

The Bead-Spring Chain Models.

General Bead-Rod-Spring Models.

A GENERAL PHASE-SPACE KINETIC THEORY.

Phase-Space Theory of Polymeric Liquids.

Phase-Space Theory for Dilute Solutions.

Phase-Space Theory for Concentrated Solutions and Melts.

ELEMENTARY KINETIC THEORY FOR NETWORK MODELS.

Network Theories for Polymer Melts and Concentrated Solutions.

APPENDICES.

Summary of Continuum Mechanics Notation and Results.

Useful Mathematical Formulas.

Author Index.

Subject Index.

The interaction of sound waves with the medium through which they pass can be used to investigate the thermophysical properties of that medium. With the advent of modern instrumentation, it is now possible to determine the speed and absorption of sound with extremely high precision and, through the dependence of those quantities on variables like temperature, pressure, and frequency to gain a sensitive measure of one or more properties of fluid. This has led to renewed interest in such measurements and in the extraction of thermophysical properties of gases and liquids there from.
Physical Acoustics and Metrology of Fluids describes both how to design experiments to achieve the highest possible accuracy and how to relate the quantities measured in those experiments to the thermophysical properties of the medium. A thorough theoretical examination of the alternative experimental methods available is designed to guide the experimentalist toward better and more accurate methods. This theoretical analysis is enhanced and complemented by an in-depth discussion of practical experimental techniques and the problems inherent within them. Bringing together the fields of thermodynamics, kinetic theory, fluid mechanics, and theoretical acoustics, plus a wealth of information about practical instruments, this book represents an essential reference on the design and execution of valuable experiments in fluid metrology and physical acoustics.

Although the application boundary element method (BEM) has a long history in computational fluid dynamics which dates back to the late 1950s and early 1960s, its developments as a problem-solving tool for general problems of fluid dynamics did not start until recently. Taking as its theme time dependent and time-harmonic problems in engineering, this volume demonstrates that boundary element methods are both elegant and efficient in their application to such problems and therefore worthy of considerable development. The text contains a collection of reviews comprising state-of-the-art applications of BEM to nonlinear problems. Subjects covered include: Helmholtz and Poincare potential-vorticity decompositions for the analysis of unsteady compressible viscous flows; advanced boundary element methods for steady incompressible thermoviscous flow; a time-dependent incompressible viscous BEM for moderate Reynolds numbers; a boundary integral formulation in primitive variables for unsteady viscous flows; Newtonian and non-Newtonian unsteady flow problems; a general theory of unsteady compressible potential flows with applications to airplanes and rotors; recent advances in solution metho

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.

This book is the first to present flow measurement as an independent branch of the measurement techniques, according to a new global and unitary approach for the measurement of fluid flow field, starting from finding its unitary fundamental bases. Furthermore, it elaborates the method of unitary analysis/synthesis and classification of compound gauging structures (CGS): the UASC - CGS method. These methods ensure, in a systematic and predictable way, both the analysis of the types of flow meters made until present (i.e. CGS) and the synthesis of new types of flowmeters. The book outlines new contributions in this field, including separately, for flow meters, and CGS: structural schemes and their unitary, unitary classification, unitary logical matrix, method of unitary analysis/synthesis and classification.

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.

Fundamental Mechanics of Fluids, Fourth Edition addresses the need for an introductory text that focuses on the basics of fluid mechanics—before concentrating on specialized areas such as ideal-fluid flow and boundary-layer theory. Filling that void for both students and professionals working in different branches of engineering, this versatile instructional resource comprises five flexible, self-contained sections:

Governing Equations deals with the derivation of the basic conservation laws, flow kinematics, and some basic theorems of fluid mechanics.

Ideal-Fluid Flow covers two- and three-dimensional potential flows and surface waves.

Viscous Flows of Incompressible Fluids discusses exact solutions, low-Reynolds-number approximations, boundary-layer theory, and buoyancy-driven flows.

Compressible Flow of Inviscid Fluids addresses shockwaves as well as one- and multidimensional flows.

Methods of Mathematical Analysis summarizes some commonly used analysis techniques. Additional appendices offer a synopsis of vectors, tensors, Fourier series, thermodynamics, and the governing equations in the common coordinate systems.

The book identifies the phenomena associated with the various properties of compressible, viscous fluids in unsteady, three-dimensional flow situations. It provides techniques for solving specific types of fluid-flow problems, and it covers the derivation of the basic equations governing the laminar flow of Newtonian fluids, first assessing general situations and then shifting focus to more specific scenarios.

The author illustrates the process of finding solutions to the governing equations. In the process, he reveals both the mathematical methodology and physical phenomena involved in each category of flow situation, which include ideal, viscous, and compressible fluids. This categorization enables a clear explanation of the different solution methods and the basis for the various physical consequences of fluid properties and flow characteristics. Armed with this new understanding, readers can then apply the appropriate equation results to deal with the particular circumstances of their own work.

Table of Contents

Part I: Governing Equations

Basic Conservation Laws

Statistical and Continuum Methods

Eulerian and Lagrangian Coordinates

Material Derivative

Control Volumes

Reynolds’ Transport Theorem

Conservation of Mass

Conservation of Momentum

Conservation of Energy

Discussion of Conservation Equations

Rotation and Rate of Shear

Constitutive Equations

Viscosity Coefficients

Navier–Stokes Equations

Energy Equation

Governing Equations for Newtonian Fluids

Boundary Conditions

Flow Kinematics

Flow Lines

Circulation and Vorticity

Stream Tubes and Vortex Tubes

Kinematics of Vortex Lines

Special Forms of the Governing Equations

Kelvin’s Theorem

Bernoulli Equation

Crocco’s Equation

Vorticity Equation

　

Part II: Ideal-Fluid Flow

Two-Dimensional Potential Flows

Stream Function

Complex Potential and Complex Velocity

Uniform Flows

Source, Sink, and Vortex Flows

Flow in Sector

Flow around Sharp Edge

Flow due to Doublet

Circular Cylinder without Circulation

Circular Cylinder with Circulation

Blasius Integral Laws

Force and Moment on Circular Cylinder

Conformal Transformations

Joukowski Transformation

Flow around Ellipses

Kutta Condition and Flat-Plate Airfoil

Symmetrical Joukowski Airfoil

Circular-Arc Airfoil

Joukowski Airfoil

Schwarz–Christoffel Transformation

Source in Channel

Flow through Aperture

Flow Past Vertical Flat Plate

Three-Dimensional Potential Flows

Velocity Potential

Stokes’ Stream Function

Solution of Potential Equation

Uniform Flow

Source and Sink

Flow due to Doublet

Flow near Blunt Nose

Flow around Sphere

Line-Distributed Source

Sphere in Flow Field of Source

Rankine Solids

D’Alembert’s Paradox

Forces Induced by Singularities

Kinetic Energy of Moving Fluid

Apparent Mass

Surface Waves

General Surface-Wave Problem

Small-Amplitude Plane Waves

Propagation of Surface Waves

Effect of Surface Tension

Shallow-Liquid Waves of Arbitrary Form

Complex Potential for Traveling Waves

Particle Paths for Traveling Waves

Standing Waves

Particle Paths for Standing Waves

Waves in Rectangular Vessels

Waves in Cylindrical Vessels

Propagation of Waves at Interface

　

Part III: Viscous Flows of Incompressible Fluids

Exact Solutions

Couette Flow

Poiseuille Flow

Flow between Rotating Cylinders

Stokes’ First Problem

Stokes’ Second Problem

Pulsating Flow between Parallel Surfaces

Stagnation-Point Flow

Flow in Convergent and Divergent Channels

Flow over Porous Wall

Low Reynolds Number Solutions

Stokes Approximation

Uniform Flow

Doublet

Rotlet

Stokeslet

Rotating Sphere in Fluid

Uniform Flow Past Sphere

Uniform Flow Past Circular Cylinder

Oseen Approximation

Boundary Layers

Boundary-Layer Thicknesses

Boundary-Layer Equations

Blasius Solution

Falkner–Skan Solutions

Flow over a Wedge

Stagnation-Point Flow

Flow in Convergent Channel

Approximate Solution for Flat Surface

General Momentum Integral

Kármán–Pohlhausen Approximation

Boundary-Layer Separation

Stability of Boundary Layers

Buoyancy-Driven Flows

Boussinesq Approximation

Thermal Convection

Boundary-Layer Approximations

Vertical Isothermal Surface

Line Source of Heat

Point Source of Heat

Stability of Horizontal Layers

　

Part IV: Compressible Flow of Inviscid Fluids

Shock Waves

Propagation of Infinitesimal Disturbances

Propagation of Finite Disturbances

Rankine-Hugoniot Equations

Conditions for Normal Shock Waves

Normal-Shock-Wave Equations

Oblique Shock Waves

One-Dimensional Flows

Weak Waves

Weak Shock Tubes

Wall Reflection of Waves

Reflection and Refraction at Interface

Piston Problem

Finite-Strength Shock Tubes

Nonadiabatic Flows

Isentropic-Flow Relations

Flow through Nozzles

Multidimensional Flows

Irrotational Motion

Janzen–Rayleigh Expansion

Small-Perturbation Theory

Pressure Coefficient

Flow over Wave-Shaped Wall

Prandtl–Glauert Rule for Subsonic Flow

Ackeret’s Theory for Supersonic Flows

Prandtl–Meyer Flow

　

Part V: Methods of Mathematical Analysis

Some Useful Methods of Analysis

Fourier Series

Complex Variables

Separation of Variable Solutions

Similarity Solutions

Group Invariance Methods

Appendix A: Vector Analysis

Vector Identities

Integral Theorems

Orthogonal Curvilinear Coordinates

Appendix B: Tensors

Notation and Definition

Tensor Algebra

Tensor Operations

Isotropic Tensors

Integral Theorems

Appendix C: Governing Equations

Cartesian Coordinates

Cylindrical Coordinates

Spherical Coordinates

Appendix D: Fourier Series

Appendix E: Thermodynamics

Zeroth Law

First Law

Equations of State

Enthalpy

Specific Heats

Adiabatic, Reversible Processes

Entropy

Second Law

Canonical Equations of State

Reciprocity Relations

This book introduces an interesting and alternative way to design absorbing boundary conditions (ABCs) for quantum wave equations, basically the nonlinear Schroedinger equation. The focus of this book is the application of the phase space filter approach to derive accurate radiation conditions for Schroedinger equations. Researchers who are interested in partial differential equations and mathematical physics might find this book appealing.

This book offers comprehensive coverage of compressible flow phenomena and their applications, and is intended for undergraduate/graduate students, practicing professionals, and researchers interested in the topic. Thanks to the clear explanations provided of a wide range of basic principles, the equations and formulas presented here can be understood with only a basic grasp of mathematics. The book particularly focuses on shock waves, offering a unique approach to the derivation of shock wave relations from conservation relations in fluids together with a contact surface, slip line or surface; in addition, the thrust of a rocket engine and that of an air-breathing engine are also formulated. Furthermore, the book covers important fundamentals of various aspects of physical fluid dynamics and engineering, including one-dimensional unsteady flows, and two-dimensional flows, in which oblique shock waves and Prandtl-Meyer expansion can be observed.

Fluid Transport: Pipes, part of the Industrial Equipment for Chemical Engineering set, provides a description and calculation of the essential equipment used for fluid transport. Gas-liquid flows are studied with regard to the nature of this type of flow, along with the pressure drop that they may trigger. Many numerical examples are offered, and the calculation of a fluid transport line is detailed. The vacuum technique and the behavior of non-Newtonian liquids is thoroughly presented, and the author also provides the methods needed for understanding the equipment used in applied thermodynamics to encourage students and engineers to self build the programs they need. Chapters are complemented with appendices that provide additional information and associated references.

This self-contained, interdisciplinary book encompasses mathematics, physics, computer programming, analytical solutions and numerical modelling, industrial computational fluid dynamics (CFD), academic benchmark problems and engineering applications in conjunction with the research field of anisotropic turbulence. It focuses on theoretical approaches, computational examples and numerical simulations to demonstrate the strength of a new hypothesis and anisotropic turbulence modelling approach for academic benchmark problems and industrially relevant engineering applications. This book contains MATLAB codes, and C programming language based User-Defined Function (UDF) codes which can be compiled in the ANSYS-FLUENT environment. The computer codes help to understand and use efficiently a new concept which can also be implemented in any other software packages. The simulation results are compared to classical analytical solutions and experimental data taken from the literature. A particular attention is paid to how to obtain accurate results within a reasonable computational time for wide range of benchmark problems. The provided examples and programming techniques help graduate and postgraduate students, engineers and researchers to further develop their technical skills and knowledge.

This successful textbook emphasizes the unified nature of all the disciplines of Fluid Mechanics as they emerge from the general principles of continuum mechanics. The different branches of Fluid Mechanics, always originating from simplifying assumptions, are developed according to the basic rule: from the general to the specific. The first part of the book contains a concise but readable introduction into kinematics and the formulation of the laws of mechanics and thermodynamics. The second part consists of the methodical application of these principles to technology. In addition, sections about thin-film flow and flow through porous media are included.

This book focuses on the latest developments in detonation engines for aerospace propulsion, with a focus on the rotating detonation engine (RDE). State-of-the-art research contributions are collected from international leading researchers devoted to the pursuit of controllable detonations for practical detonation propulsion. A system-level design of novel detonation engines, performance analysis, and advanced experimental and numerical methods are covered. In addition, the world's first successful sled demonstration of a rocket rotating detonation engine system and innovations in the development of a kilohertz pulse detonation engine (PDE) system are reported. Readers will obtain, in a straightforward manner, an understanding of the RDE & PDE design, operation and testing approaches, and further specific integration schemes for diverse applications such as rockets for space propulsion and turbojet/ramjet engines for air-breathing propulsion. Detonation Control for Propulsion: Pulse Detonation and Rotating Detonation Engines provides, with its comprehensive coverage from fundamental detonation science to practical research engineering techniques, a wealth of information for scientists in the field of combustion and propulsion. The volume can also serve as a reference text for faculty and graduate students and interested in shock waves, combustion and propulsion.

Discusses the CFD-DEM method of modeling which combines both the Discrete Element Method and  Computational Fluid Dynamics to simulate fluid-particle interactions. Deals with both theoretical and practical concepts of CFD-DEM, its numerical implementation accompanied by a hands-on numerical code in FORTRAN Gives examples of industrial applications

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.

This textbook highlights the theory of fractional calculus and its wide applications in mechanics and engineering. It describes in details the research findings in using fractional calculus methods for modeling and numerical simulation of complex mechanical behavior. It covers the mathematical basis of fractional calculus, the relationship between fractal and fractional calculus, unconventional statistics and anomalous diffusion, typical applications of fractional calculus, and the numerical solution of the fractional differential equation. It also includes latest findings, such as variable order derivative, distributed order derivative and its applications. Different from other textbooks in this subject, the book avoids lengthy mathematical demonstrations, and presents the theories in close connection to the applications in an easily readable manner. This textbook is intended for students, researchers and professionals in applied physics, engineering mechanics, and applied mathematics. It is also of high reference value for those in environmental mechanics, geotechnical mechanics, biomechanics, and rheology.

This volume contains selected presentations of the 3rd International PAMIR Conference on Transfer Phenomena in Magnetohydrodynamic and Electroconducting Flows held at the Paul Langevin Centre in Aussois, France, in September 1997. The main scientific domain of the conference was the interaction between a magnetic field and a conducting fluid, which can be either an electrolyte (with low electrical conductivity) or a liquid metal (with high electrical conductivity). One of the perspectives of the conference was to facilitate the interaction between the MHD and chemical engineering communities. Thus, the connection between mass transfer in electrochemical systems and magnetic fields (sometimes called magnetoelectrolysis) was introduced for the first time as a topic of the conference. This offered a new class of problems to the MHD community. The presentations focused on four main topics related to interfacial heat and mass transfer phenomena, energetic applications, the dynamo effect and MEHD phenomena, and they encompassed both numerical and experimental studies. The invited lectures were devoted to different subjects, such as the dynamo effect, magnetoelectrolysis, instability problems, and metallurgical applications of MHD. The state of the art was discussed together with promising new orientations. This book should be of interest to researchers and advanced graduate students in physics and engineering sciences, working in MHD and related areas.

Here, the authors present modern mathematical methods to solve problems of differential-operator inclusions and evolution variation inequalities which may occur in fields such as geophysics, aerohydrodynamics, or fluid dynamics. For the first time, they describe the detailed generalization of various approaches to the analysis of fundamentally nonlinear models and provide a toolbox of mathematical equations. These new mathematical methods can be applied to a broad spectrum of problems. Examples of these are phase changes, diffusion of electromagnetic, acoustic, vibro-, hydro- and seismoacoustic waves, or quantum mechanical effects. This is the first of two volumes dealing with the subject.

Almost all materials posses a microstructure, which cannot be accounted for in detail in structural engineering calculations. Instead, effective material properties are used. These are obtained by homogenization methods. This book provides

This book gathers contributions to the 21st biannual symposium of the German Aerospace Aerodynamics Association (STAB) and the German Society for Aeronautics and Astronautics (DGLR). The individual chapters reflect ongoing research conducted by the STAB members in the field of numerical and experimental fluid mechanics and aerodynamics, mainly for (but not limited to) aerospace applications, and cover both nationally and EC-funded projects. Special emphasis is given to collaborative research projects conducted by German scientists and engineers from universities, research-establishments and industries. By addressing a number of cutting-edge applications, together with the relevant physical and mathematics fundamentals, the book provides readers with a comprehensive overview of the current research work in the field. The book's primary emphasis is on aerodynamic research in aeronautics and astronautics, and in ground transportation and energy as well.

Recent Advances in Computational Mechanics contains selected papers presented at the jubilee 20th Conference on Computer Methods in Mechanics (CMM 2013), which took place from 27 to 31 August 2013 at the Poznan University of Technology. The first Polish Conference on Computer Methods in Mechanics was held in Poznan in 1973. This very successful meeting initiated a series of conferences organized every two years by different Polish universities. Over the years the series gained an increasingly international character. The common general objective of the CMM conferences is to provide a forum for presentation and discussion of new ideas referring to the theoretical background and practical applications of computational mechanics. The program of each conference reflects current extensive research in this field of science. This proceedings volume addresses various aspects of computational mechanics, including advanced analysis of structures, modelling of material properties, damage mechanics, contact mechanics, biomechanics, heat transfer and coupled problems. This book will be of interest to students, researchers and practitioners in the fields of structural mechanics, mechanical engineering, material technology and biomechanics.