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Books > Science & Mathematics > Physics > Classical mechanics > Fluid mechanics
Provides unified coverage of computational heat transfer and fluid
dynamics. Covers basic concepts and then applies computational
methods for problem analysis and solution. Contains new chapters on
mesh generation and computer modeling of turbulent flow. Includes
ANSYS, STAR CCM+, and COMSOL CFD code and tutorials in the
appendix. Includes a Solutions Manual for instructor use.
The concept of vorticity is of central importance in fluid
mechanics and the change and variability of atmospheric flow is
dominated by transient vortices of different time- and space
scales. Of particular importance are the most in- tense vortices
such as hurricanes, typhoons and tornadoes which are associated
with extreme and hazardous weather events of great concern to
society. In recent years the un- derstanding of these phenomena has
grown due to increased and improved surveillance by satellites and
aircraft as well as by numerical modelling and simulation,
theoretical studies and laboratory experiments. The symposium on
"Intense Atmospheric Vortices" was held at the European Centre for
Medium Range Weather Forecasts (ECMWF), Reading, England, July
14-17, 1981. The subject area of the Symposium was concerned with
observational work, experimental models, theoretical and numerical
studies in- volving hurricanes, typhoons, tornadoes and related
pheno- mena. The aim was to bring together experts on these meteo-
rological processes and on the fundamental fluid-dynamic mechanisms
for vorticity intensification from all parts of the world.
Thirtyfour scientists participated in the Sympo- sium, including
more than half of those leading world ex- perts in the field whom
the organizers had invited.
The content of this book is based, largely, on the core curriculum
in geophys ical fluid dynamics which land my colleagues in the
Department of Geophysical Sciences at The University of Chicago
have taught for the past decade. Our purpose in developing a core
curriculum was to provide to advanced undergraduates and entering
graduate students a coherent and systematic introduction to the
theory of geophysical fluid dynamics. The curriculum and the
outline of this book were devised to form a sequence of courses of
roughly one and a half academic years (five academic quarters) in
length. The goal of the sequence is to help the student rapidly
advance to the point where independent study and research are
practical expectations. It quickly became apparent that several
topics (e. g., some aspects of potential theory) usually thought of
as forming the foundations of a fluid-dynamics curriculum were
merely classical rather than essential and could be, however sadly,
dispensed with for our purposes. At the same time, the diversity of
interests of our students is so great that no curriculum can truly
be exhaust ive in such a curriculum period. It seems to me that the
best that can be achieved as a compromise is a systematic
introduction to some important segment of the total scope of
geophysical fluid dynamics which is illustrative of its most
fruitful methods."
The book provides an original approach in the research of
structural analysis of free developed shear compressible turbulence
at high Reynolds number on the base of direct numerical simulation
(DNS) and instability evolution for ideal medium (integral
conservation laws) with approximate mechanism of dissipation (FLUX
dissipative monotone "upwind" difference schemes) and does not use
any explicit sub-grid approximation and semi-empirical models of
turbulence. Convective mixing is considered as a principal part of
conservation law.Appropriate hydrodynamic instabilities (free
developed shear turbulence) are investigated from unique point of
view. It is based on the concept of large ordered structures with
stochastic core of small scale developed turbulence ("turbulent
spot"). Decay of "turbulent spot" are simulated by Monte Carlo
method. Proposed approach is based on two hypotheses: statistical
independence of the characteristic of large ordered structures
(LOS) and small-scale turbulence (ST) "and" weak influence of
molecular viscosity (or more generally, dissipative mechanism) on
properties of large ordered structures.Two versions of
instabilities, due to Rayleigh-Taylor and Richtmyer-Meshkov are
studied detail by the three-dimensional calculations, extended to
the large temporal intervals, up to turbulent stage and
investigation turbulent mixing zone (TMZ).The book covers both the
fundamental and practical aspects of turbulence and instability and
summarizes the result of numerical experiments conducted over 30
years period with direct participation of the author.In the book
are cited the opinions of the leading scientists in this area of
research: Acad. A S Monin (Russia), Prof. Y Nakamura (Japan, Nagoya
University) and Prof. F Harlow (USA, Los-Alamos).
Ever since airplane speeds started to approach the speed of sound,
the study of compressible flow problems attracted much talent and
support in the major indus trialized countries. Today, gas dynamics
is a mature branch of science whose many aspects and applications
are much too numerous to be mastered by a single person or to be
described in a few volumes. This book commemorates the 70th
birthday of a great pioneer and teacher of gas dynamics, Dr. Klaus
Oswatitsch, Professor of Fluid Mechanics at the Technical
University of Vienna and former Director of the Institute for
Theoretical Gas Dyna mics, Deutsche Forschungs-und Versuchsanstalt
fUr Luft-und Raumfahrt. Several reasons motivated us to prepare an
English translation of Oswatitsch's selected sci entific papers.
First, we hope that a book containing his major papers will be wel
come as a valuable reference text in gas dynamics. Oswatitsch's
work is frequently used in the literature in one form or another,
but it is usually quite time-consuming for the English speaking
reader to consult the original texts. As a result, reference to and
understanding of his papers is often incomplete. For example,
Oswatitsch's formulation of the equivalence rule hardly ever is
quoted in recent textbooks, al though it preceded declassification
of Whitcomb's results by several years. Further more, his papers
contain much information, which has not yet been fully appreciated
in the Anglo-American literature."
This book presents the mathematical theory of turbulence to engineers and physicists, and the physical theory of turbulence to mathematicians. It is the result of many years of research by the authors to analyze turbulence using Sobolev spaces and functional analysis. In this way the authors have recovered parts of the conventional theory of turbulence, deriving rigorously from the Navier-Stokes equations that had been arrived at earlier by phenomenological arguments. Appendices give full details of the mathematical proofs and subtleties.
This introduction to the mathematics of incompressible fluid
mechanics and its applications keeps prerequisites to a minimum -
only a background knowledge in multivariable calculus and
differential equations is required. Part One covers inviscid fluid
mechanics, guiding readers from the very basics of how to represent
fluid flows through to the incompressible Euler equations and many
real-world applications. Part Two covers viscous fluid mechanics,
from the stress/rate of strain relation to deriving the
incompressible Navier-Stokes equations, through to Beltrami flows,
the Reynolds number, Stokes flows, lubrication theory and boundary
layers. Also included is a self-contained guide on the global
existence of solutions to the incompressible Navier-Stokes
equations. Students can test their understanding on 100
progressively structured exercises and look beyond the scope of the
text with carefully selected mini-projects. Based on the authors'
extensive teaching experience, this is a valuable resource for
undergraduate and graduate students across mathematics, science,
and engineering.
Flowing matter is all around us, from daily-life vital processes
(breathing, blood circulation), to industrial, environmental,
biological, and medical sciences. Complex states of flowing matter
are equally present in fundamental physical processes, far remote
from our direct senses, such as quantum-relativistic matter under
ultra-high temperature conditions (quark-gluon plasmas). Capturing
the complexities of such states of matter stands as one of the most
prominent challenges of modern science, with multiple ramifications
to physics, biology, mathematics, and computer science. As a
result, mathematical and computational techniques capable of
providing a quantitative account of the way that such complex
states of flowing matter behave in space and time are becoming
increasingly important. This book provides a unique description of
a major technique, the Lattice Boltzmann method to accomplish this
task. The Lattice Boltzmann method has gained a prominent role as
an efficient computational tool for the numerical simulation of a
wide variety of complex states of flowing matter across a broad
range of scales; from fully-developed turbulence, to multiphase
micro-flows, all the way down to nano-biofluidics and lately, even
quantum-relativistic sub-nuclear fluids. After providing a
self-contained introduction to the kinetic theory of fluids and a
thorough account of its transcription to the lattice framework,
this text provides a survey of the major developments which have
led to the impressive growth of the Lattice Boltzmann across most
walks of fluid dynamics and its interfaces with allied disciplines.
Included are recent developments of Lattice Boltzmann methods for
non-ideal fluids, micro- and nanofluidic flows with suspended
bodies of assorted nature and extensions to strong non-equilibrium
flows beyond the realm of continuum fluid mechanics. In the final
part, it presents the extension of the Lattice Boltzmann method to
quantum and relativistic matter, in an attempt to match the major
surge of interest spurred by recent developments in the area of
strongly interacting holographic fluids, such as electron flows in
graphene.
Originally published in 1926, this informative and detailed
textbook is primarily aimed at university students studying applied
mathematics for a science or engineering degree and contains a
large number of useful examples to work though. Basic knowledge of
elementary dynamics is assumed throughout, as is a working
knowledge of differential and integral calculus. Answers can be
found at the back of the book, as well as a summary of the methods
of solution of the equations contained. Examples are mostly
collected from a variety of past university and college examination
papers, and notably rigid dynamics has been confined to
two-dimensional motion and omissions have been made to all
reference of moving axes. Covering the topic in its entirety, this
book gives a panoramic overview of the subject and will be of
considerable value to anyone with a keen interest in mathematics
and engineering, as well as the history of education.
The monograph addresses a canonical problem in linear water wave
theory, through the development-detailed, asymptotic analysis of
contour integrals in the complex plane. It is anticipated that the
methodology developed in the monograph will have applications to
many associated linear wave evolution problems, to which the reader
may adapt the approach developed in the monograph. The approach
adopted in the monograph is novel, and there are no existing
publications for comparison.
Theory of Dislocations provides unparalleled coverage of the
fundamentals of dislocation theory, with applications to specific
metal and ionic crystals. Rather than citing final results,
step-by-step developments are provided to offer an in-depth
understanding of the topic. The text provides the solid theoretical
foundation for researchers to develop modeling and computational
approaches to discrete dislocation plasticity, yet it covers
important experimental observations related to the effects of
crystal structure, temperature, nucleation mechanisms, and specific
systems. This new edition incorporates significant advances in
theory, experimental observations of dislocations, and new findings
from first principles and atomistic treatments of dislocations.
Also included are new discussions on thin films, deformation in
nanostructured systems, and connection to crystal plasticity and
strain gradient continuum formulations. Several new computer
programs and worked problems allow the reader to understand,
visualize, and implement dislocation theory concepts.
The aim of this book is to bring together classical and recent
developments in the particular field of Newtonian flow at low
Reynolds numbers. The methods are developed from first principles,
alternative formulations are compared, a variety of configurations
are addressed, the proper mathematical framework is discussed in
the context of functional analysis and integral-equation-theory,
and procedures of numerical solution in the context of the boundary
element method are introduced. The text contains a fair amount of
original material pertaining, in particular, to the properties and
explicit form of the Green's functions, and the theory of the
integral equations that arise from boundary integral
representations.
Die Neuauflage halt am bewahrten und anerkannten Konzept der
Vorauflage fest: ein Grundlagenwerk zum Einsatz in der
universitaren Lehre, aber vor allem ein Nachschlagewerk fur den
Beruf zum tieferen Verstandnis der verfahrenstechnischen
Zusammenhange. Gegenuber der Vorauflage wurde das Werk allerdings
erheblich erweitert sowie durch aktuelle Forschungsergebnisse und
ein Kapitel zur konzeptuellen Prozessentwicklung erganzt.
Die Grundverfahren werden auf der Basis der Thermodynamik, der
Warme- und Stoffubertragung und der Fluiddynamik ubergreifend
dargestellt. Damit erhalt der Praktiker erste Informationen uber
die Auswahl, die Auslegung und den Betrieb von Apparaten. Nach
einer komprimierten Darstellung wichtiger Grundlagen werden u.a.
das Destillieren, die Rektifikation, die Absorption, die
Kristallisation und die Adsorption behandelt. Es wird aufgezeigt,
wie sich grundlagenorientierte Berechnungsansatze fur
fluiddynamische und kinetische Vorgange in bekannten und neuen
Apparaten finden lassen."
This book is devoted to the study of the dynamics of rotating
bodies with cavities containing liquid. Two basic classes of
motions are analyzed: rotation and libration. Cases of complete and
partial filling of cavities with ideal liquid and complete filling
with viscous liquid are treated. The volume presents a method for
obtaining relations between angular velocities perpendicular to
main rotation and external force momentums, which are treated as
control. The developed models and methods of solving dynamical
problems as well as numerical methods for solving problems of
optimal control can be used for studying the dynamics of aircraft
in the atmosphere and spacecraft with stores of liquid fuel, which
are rotating around some axis for stabilization. The results are
also applicable in the development of fast revolving rotors,
centrifuges and gyroscopes, which have cavities filled with liquid.
This work will be of interest to researchers at universities and
laboratories specializing in problems of control for hybrid
systems, as well as to under-/postgraduates with this
specialization. It will also benefit researchers and practitioners
in aerospace and mechanical engineering.
This textbook treats Hydro- and Fluid Dynamics, the engineering
science dealing with forces and energies generated by fluids in
motion, playing a vital role in everyday life. Practical examples
include the flow motion in the kitchen sink, the exhaust fan above
the stove, and the air conditioning system in our home. When
driving a car, the air flow around the vehicle body induces some
drag which increases with the square of the car speed and
contributes to excess fuel consumption. Engineering applications
encompass fluid transport in pipes and canals, energy generation,
environmental processes and transportation (cars, ships,
aircrafts). This book deals with the topic of applied
hydrodynamics. The lecture material is grouped into two
complementary sections: ideal fluid flow and real fluid flow. The
former deals with two- and possibly three-dimensional fluid motions
that are not subject to boundary friction effects, while the latter
considers the flow regions affected by boundary friction and
turbulent shear. The lecture material is designed as an
intermediate course in fluid dynamics for senior undergraduate and
postgraduate students in Civil, Environmental, Hydraulic and
Mechanical Engineering. It is supported by notes, applications,
remarks and discussions in each chapter. Moreover a series of
appendices is added, while some major homework assignments are
developed at the end of the book, before the bibliographic
references.
This book lays a unique and straightforward mathematical foundation
on the aspects of liquid layers, capillary interfaces, floating
drops and particles. For the first time, these topics are studied
in a joint framework. Readers will acquire deeper comprehension and
gain results. Practical interest are presented, making it
beneficial to engineers and physicists as well as
mathematicians.The text takes an insight-oriented approach that
gives it immediacy and flexibility. It contains 70 problems where
some are exercises, while others are open problems. It is also
illustrated with 95 figures and photographs for further
understanding.
In dem Forschungsgebiet "Insektenflug" treffen Fragestellungen
der Biologie und der StrAmungsmechanik vielseitig zusammen. Der
Bogen reicht von der Konstruktionsmorphologie A1/4ber die
Flugbiophysik bis zur Energetik und zum Flugverhalten. Der Autor
ist einer der international angesehensten Grundlagenforscher in
diesem Forschungsgebiet. Das Buch stellt nicht nur einen Bericht
A1/4ber die vielseitigen ForschungsansAtze von ihm und seiner
Arbeitsgruppe dar; es bringt auch die allgemeinen Grundlagen und
fA1/4hrt mit einer FA1/4lle von Beispielen an die Grenzen des
derzeitigen Kenntnisstandes.
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