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Vorticity, Statistical Mechanics, and Monte Carlo Simulation
This book is drawn from across many active fields of mathematics and physics, and has connections to atmospheric dynamics, spherical codes, graph theory, constrained optimization problems, Markov Chains, and Monte Carlo methods. It addresses how to access interesting, original, and publishable research in statistical modeling of large-scale flows and several related fields. The authors f this book explicitly reach around the major branches of mathematics and physics, showing how the use of a few straightforward approaches can create a cornucopia of intriguing questions and the tools to answer them. In reading this book, the reader will learn how to research a topic and how to understand statistical mechanics treatments of fluid dynamics.
Vorticity and Vortex Dynamics
This book is a monograph naturally identifies the content and scope of vorticity and vortex dynamics. This is followed by a detailed presentation of vorticity dynamics as the basis of later development.
Vortices and Turbulence at Very Low Temperatures
Recent investigations have highlighted the similarities between turbulence in cryogenic fluids at temperatures close to absolute zero, in particular superfluid helium, and turbulence in ordinary fluids. This book contains lectures on various theoretical and experimental aspects of the problem given by experts at the advanced school “Vortices and Turbulence at Low Temperatures” held at CISM, Udine, in the summer of 2007. The lectures provide an introduction into this rapidly expanding area of research.
Turbulence in Fluids : Fourth Revised and Enlarged ed.
This is the 4th edition of a book originally published by Kluwer Academic Publishers. It is an exhaustive monograph on turbulence in fluids in its theoretical and applied aspects, with many advanced developments using mathematical spectral methods (two-point closures like the EDQNM theory), direct-numerical simulations, and large-eddy simulations.Topics dealt with include: an introduction to turbulence in fluid mechanics; basic fluid dynamics; transition to turbulence; shear-flow turbulence; Fourier analysis for homogeneous turbulence; isotropic turbulence; phenomenology and simulations; analytical theories and stochastic models; two-dimensional turbulence; geostrophic turbulence; absolute-equilibrium ensembles; the statistical predictability theory; large-eddy simulations; and a section that explores developments towards real-world turbulence.
Turbomachinery Flow Physics and Dynamic Performance
Over the past three decades turbomachines experienced a steep increase in efficiency and performance. Based on fundamental principles of turbomachinery thermo-fluid mechanics, numerous CFD based calculation methods are being developed to simulate the complex 3-dimensional, highly unsteady turbulent flow within turbine or compressor stages. The objective of this book is to present the fundamental principals of turbomachinery fluid-thermodynamic design process of turbine and compressor components, power generation and aircraft gas turbines in a unified and compact manner. The book provides senior undergraduate students, graduate students and engineers in the turbomachinery industry with a solid background of turbomachinery flow physics and performance fundamentals that are essential for understanding turbomachinery performance and flow complexes.
Trends in Partial Differential Equations of Mathematical Physics
Vsevolod Alekseevich Solonnikov is known as one of the outstanding mathematicians from the St Petersburg Mathematical School. This book contains twenty original contributions on many topics related to V A Solonnikov's work, selected from the invited talks of an international conference held on the occasion of his 70th birthday.
The Genesis of Fluid Mechanics, 1640-1780
Fluid Mechanics, as a scientific discipline in a modern sense, was established between the last third of the 17th century and the first half of the 18th one. This book analyses its genesis, following its evolution along two basic lines of research, which have been named the "problem of resistance" and the "problem of discharge". This approach highlights the existence of a remarkable experimental aspect in the aforementioned research lines, together with their link with problems of a practical nature, such as ballistics, hydraulics, fluid-using machines or naval theory. On the other hand, although previous studies usually present fluid mechanics from the point of view of mathematics, this is complemented here by an engineering viewpoint.
The Finite Element Method : Fundamentals and Applications in Civil, Hydraulic, Mechanical and Aeronautical Engineering
A comprehensive review of the Finite Element Method (FEM), this book provides the fundamentals together with a wide range of applications in civil, mechanical and aeronautical engineering. It addresses both the theoretical and numerical implementation aspects of the FEM, providing examples in several important topics such as solid mechanics, fluid mechanics and heat transfer, appealing to a wide range of engineering disciplines.
Sterilization of Food in Retort Pouches
The subject of sterilization of food in cans has been well studied both experimentally and theoretically, but very limited work has been undertaken to study the sterilization of food in pouches. Sterilization of Foods in Retort Pouches examines the important interaction between fluid mechanics, heat transfer and microbial inactivation during sterilization of food in pouches. Such interaction is complex and if ignored would lead to incorrect information not only on food sterility but also on food quality.Sterilization of Foods in Retort Pouches is useful for engineers and food scientists where heat transfer is one of the basic disciplines. It is also suitable as a text for postgraduate students and researchers.
Stabilization, Optimal and Robust Control : Theory and Applications in Biological and Physical Sciences
Systems governed by nonlinear partial differential equations (PDEs) arise in many spheres of study. The stabilization and control of such systems, which are the focus of this book, are based around game theory. The robust control methods proposed here have the twin aims of compensating for system disturbances in such a way that a cost function achieves its minimum for the worst disturbances and providing the best control for stabilizing fluctuations with a limited control effort.Mathematical foundations essential for the required analysis are provided so that the book remains accessible to the non-control-specialist. Following chapters giving a general view of convex analysis and optimization and robust and optimal control, problems arising in fluid-mechanical, biological and materials-scientific systems are laid out in detail; specifically
Springer Handbook of Experimental Fluid Mechanics
Consolidates authoritative and state-of-the-art information from the large number of disciplines used in experimental fluid mechanics into a readable desk reference book. It comprises four parts covering Experiments in Fluid Mechanics, Measurement of Primary Quantities, Specific Experimental Environments and Techniques, and Analyses and Post-Processing of Data. Prepared for physicists and engineers in research and development in universities, industry and in governmental research institutions or national laboratories. Both experimental methodology and techniques are covered fundamentally and for a wide range of application fields.
Singular Perturbation Theory : Mathematical and Analytical Techniques with Applications to Engineering
Singular Perturbation Theory introduces all the background ideas to this subject, designed for those with only the most superficial familiarity with university-level mathematics. The methods are developed through worked examples and set exercises (with answers); the latter part of the book is devoted to applications drawn from: mechanics, physics, semi- and superconductor theory, fluid mechanics, thermal processes, chemical and biochemical reactions. In a novel approach, these are grouped together so that the reader with particular interests can readily access them.
Screw Compressors : Mathematical Modelling and Performance Calculation
The first part of "Screw Compressors" gives a review of recent developments in screw compressor design.The second part presents a generalized mathematical definition of screw machine rotors and describes some well known lobe shapes in detail.The third part treats the mathematical modelling of the thermodynamics and fluid mechanics of compression and expansion processes.The fourth and fifth parts discuss the principles used and describe the application of the analytical procedures and rotor profiling techniques, presented in the earlier chapters, to the design of a number of twin screw compressors, currently manufactured including the examples of combining expansion and compression in the same machine.
Scaling of Differential Equations
Serves both as a reference for various scaled models with corresponding dimensionless numbers, and as a resource for learning the art of scaling. A special feature of the book is the emphasis on how to create software for scaled models, based on existing software for unscaled models. Scaling (or non-dimensionalization) is a mathematical technique that greatly simplifies the setting of input parameters in numerical simulations. Moreover, scaling enhances the understanding of how different physical processes interact in a differential equation model. Compared to the existing literature, where the topic of scaling is frequently encountered, but very often in only a brief and shallow setting, the present book gives much more thorough explanations of how to reason about finding the right scales.
Quality and Reliability of Large-Eddy Simulations
Computational resources have developed to the level that, for the first time, it is becoming possible to apply large-eddy simulation (LES) to turbulent flow problems of realistic complexity. Many examples can be found in technology and in a variety of natural flows. This puts issues related to assessing, assuring, and predicting the quality of LES into the spotlight. Several LES studies have been published in the past, demonstrating a high level of accuracy with which turbulent flow predictions can be attained, without having to resort to the excessive requirements on computational resources imposed by direct numerical simulations. However, the setup and use of turbulent flow simulations requires a profound knowledge of fluid mechanics, numerical techniques, and the application under consideration.
Quadrature Domains and Their Applications : The Harold S. Shapiro Anniversary Volume
Quadrature domains were singled out about 30 years ago by D. Aharonov and H.S. Shapiro in connection with an extremal problem in function theory. Since then, a series of coincidental discoveries put this class of planar domains at the center of crossroads of several quite independent mathematical theories, e.g., potential theory, Riemann surfaces, inverse problems, holomorphic partial differential equations, fluid mechanics, operator theory. The volume is devoted to recent advances in the theory of quadrature domains, illustrating well the multi-facet aspects of their nature. The book contains a large collection of open problems pertaining to the general theme of quadrature domains.
Problems in Hydraulics and Fluid Mechanics
The exercises are organized by subject, covering forces on planes and curved surfaces; floating bodies; exercises that require the application of linear and angular momentum balancing in inertial and non-inertial references; pipeline systems, with particular applications to industrial plants; hydraulic systems with machines (pumps and turbines); transient phenomena in pipelines; and uniform and gradually varied flows in open channels.
Pressure and Temperature Sensitive Paints
This book helps the reader to understand the physics and chemistry and the capabilities of PTP and TSP. It provides an overview of the wide scope of applications and explains the system requirements for using these sensors. The book also includes an extensive table of properties of PTP and TSP.
Pneumatic Drives : System Design, Modelling and Control
It bridges the gap between classical descriptions of pneumatic systems in terms of their steady-state behaviour and the wish of design engineers to test their design before setting up the actual hardware. The book covers the whole range of today’s technology for pneumatic drives. Starting with a wide selection of linear actuators – among them standard and rodless cylinders, bellows and diaphragm cylinders –, semi-rotatory drives and air motors are described in detail. Standard directional control valves, analogue valves as well as pressure control valves are covered, including their design, application and modelling. Several control schemes and the necessary converters like solenoids or piezoelectric actuators are presented.
Plasma Astrophysics ; Part II : Reconnection and Flares
Devoted to classic fundamentals, current practice, and perspectives of modern plasma astrophysics. The first part is unique in covering all the basic principles and practical tools required for understanding and working in plasma astrophysics. The second part presents the physics of magnetic reconnection and flares of electromagnetic origin in space plasmas within the solar system; single and double stars, relativistic objects, accretion disks, and their coronae are also covered. This book is designed mainly for professional researchers in astrophysics. However, it will also be interesting and useful to graduate students in space sciences, geophysics, as well as advanced students in applied physics and mathematics seeking a unified view of plasma physics and fluid mechanics.
