|
Books > Science & Mathematics > Physics > Classical mechanics
This book describes the development of a new analytical,
full-vehicle model with nine degrees of freedom, which uses the new
modified skyhook strategy (SKDT) to control the full-vehicle
vibration problem. The book addresses the incorporation of road
bank angle to create a zero steady-state torque requirement when
designing the direct tilt control and the dynamic model of the full
car model. It also highlights the potential of the SKDT suspension
system to improve cornering performance and paves the way for
future work on the vehicle's integrated chassis control system.
Active tilting technology to improve vehicle cornering is the focus
of numerous ongoing research projects, but these don't consider the
effect of road bank angle in the control system design or in the
dynamic model of the tilting standard passenger vehicles. The
non-incorporation of road bank angle creates a non-zero steady
state torque requirement.
The book introduces the basic concepts of the finite element method
in the static and dynamic analysis of beam, plate, shell and solid
structures, discussing how the method works, the characteristics of
a finite element approximation and how to avoid the pitfalls of
finite element modeling. Presenting the finite element theory as
simply as possible, the book allows readers to gain the knowledge
required when applying powerful FEA software tools. Further, it
describes modeling procedures, especially for reinforced concrete
structures, as well as structural dynamics methods, with a
particular focus on the seismic analysis of buildings, and explores
the modeling of dynamic systems. Featuring numerous illustrative
examples, the book allows readers to easily grasp the fundamentals
of the finite element theory and to apply the finite element method
proficiently.
Spectral methods have long been popular in direct and large eddy
simulation of turbulent flows, but their use in areas with
complex-geometry computational domains has historically been much
more limited. More recently the need to find accurate solutions to
the viscous flow equations around complex configurations has led to
the development of high-order discretization procedures on
unstructured meshes, which are also recognized as more efficient
for solution of time-dependent oscillatory solutions over long time
periods. Here Karniadakis and Sherwin present a much-updated and
expanded version of their successful first edition covering the
recent and significant progress in multi-domain spectral methods at
both the fundamental and application level. Containing over 50% new
material, including discontinuous Galerkin methods, non-tensorial
nodal spectral element methods in simplex domains, and
stabilization and filtering techniques, this text aims to introduce
a wider audience to the use of spectral/hp element methods with
particular emphasis on their application to unstructured meshes. It
provides a detailed explanation of the key concepts underlying the
methods along with practical examples of their derivation and
application, and is aimed at students, academics and practitioners
in computational fluid mechanics, applied and numerical
mathematics, computational mechanics, aerospace and mechanical
engineering and climate/ocean modelling.
This thesis covers several important topics relevant to our
understanding of quark-gluon plasma. It describes measurement of
the third-order harmonic flow using two-particle correlations and
isolation of flow and non-flow contributions to particle
correlations in gold-gold collisions. The work also investigates
long-range longitudinal correlations in small systems of
deuteron-gold collisions. The former is related to the hydrodynamic
transport properties of the quark-gluon plasma created in gold-gold
collisions. The latter pertains to the question whether
hydrodynamics is applicable to small systems, such as deuteron-gold
collisions, and whether the quark-gluon plasma can be formed in
those small-system collisions. The work presented in this thesis
was conducted with the STAR experiment at the Relativistic Heavy
Ion Collider at Brookhaven National Laboratory, where the
center-of-mass energy of both collision systems was a factor of 100
larger than the rest mass of the colliding nuclei. The results
contained in this thesis are highly relevant to our quest for
deeper understanding of quantum chromodynamics. The results
obtained challenge the interpretation of previous works from
several other experiments on small systems, and provoke a fresh
look at the physics of hydrodynamics and particle correlations
pertinent to high energy nuclear collisions.
This book discusses basic thermodynamic behaviors and 'abnormal'
properties from a thermo-physical perspective, and explores basic
heat transfer and flow properties, the latest findings on their
physical aspects and indications, chemical engineering properties,
microscale phenomena, as well as transient behaviors in fast and
critical environments. It also presents the most and challenging
problems and the outlook for applications and innovations of
supercritical fluids.
This book - specifically developed as a novel textbook on
elementary classical mechanics - shows how analytical and numerical
methods can be seamlessly integrated to solve physics problems.
This approach allows students to solve more advanced and applied
problems at an earlier stage and equips them to deal with
real-world examples well beyond the typical special cases treated
in standard textbooks. Another advantage of this approach is that
students are brought closer to the way physics is actually
discovered and applied, as they are introduced right from the start
to a more exploratory way of understanding phenomena and of
developing their physical concepts. While not a requirement, it is
advantageous for the reader to have some prior knowledge of
scientific programming with a scripting-type language. This edition
of the book uses Python, and a chapter devoted to the basics of
scientific programming with Python is included. A parallel edition
using Matlab instead of Python is also available. Last but not
least, each chapter is accompanied by an extensive set of
course-tested exercises and solutions.
Nature continuously presents a huge number of complex and
multi-scale phenomena, which in many cases, involve the presence of
one or more fluids flowing, merging and evolving around us. Since
its appearance on the surface of Earth, Mankind has tried to
exploit and tame fluids for their purposes, probably starting with
Hero's machinery to open the doors of the Temple of Serapis in
Alexandria to arrive to modern propulsion systems and actuators.
Today we know that fluid mechanics lies at the basis of countless
scientific and technical applications from the smallest physical
scales (nanofluidics, bacterial motility, and diffusive flows in
porous media), to the largest (from energy production in power
plants to oceanography and meteorology). It is essential to deepen
the understanding of fluid behaviour across scales for the progress
of Mankind and for a more sustainable and efficient future. Since
the very first years of the Third Millennium, the Lattice Boltzmann
Method (LBM) has seen an exponential growth of applications,
especially in the fields connected with the simulation of complex
and soft matter flows. LBM, in fact, has shown a remarkable
versatility in different fields of applications from nanoactive
materials, free surface flows, and multiphase and reactive flows to
the simulation of the processes inside engines and fluid machinery.
LBM is based on an optimized formulation of Boltzmann's Kinetic
Equation, which allows for the simulation of fluid particles, or
rather quasi-particles, from a mesoscopic point of view thus
allowing the inclusion of more fundamental physical interactions in
respect to the standard schemes adopted with Navier-Stokes solvers,
based on the continuum assumption. In this book, the authors
present the most recent advances of the application of the LBM to
complex flow phenomena of scientific and technical interest with
particular focus on the multi-scale modeling of heterogeneous
catalysis within nano-porous media and multiphase, multicomponent
flows.
This book is an introduction to wave dynamics as they apply to
earthquakes, among the scariest, most unpredictable, and deadliest
natural phenomena on Earth. Since studying seismic activity is
essentially a study of wave dynamics, this text starts with a
discussion of types and representations, including wave-generation
mechanics, superposition, and spectral analysis. Simple harmonic
motion is used to analyze the mechanisms of wave propagation, and
driven and damped systems are used to model the decay rates of
various modal frequencies in different media.Direct correlation to
earthquakes in California, Mexico, and Japan is used to illustrate
key issues, and actual data from an event in California is
presented and analyzed. Our Earth is a dynamic and changing planet,
and seismic activity is the result. Hundreds of waves at different
frequencies, modes, and amplitudes travel through a variety of
different media, from solid rock to molten metals. Each media
responds differently to each mode; consequently the result is an
enormously complicated dynamic behavior. Earthquakes should serve
well as a complimentary text for an upper-school course covering
waves and wave mechanics, including sound and acoustics and basic
geology. The mathematical requirement includes trigonometry and
series summations, which should be accessible to most upper-school
and college students. Animation, sound files, and videos help
illustrate major topics.
There is a great deal of research into wave propagation in random
media, in such fields as applied mathematics, acoustics, optics,
materials science, atomic physics and geophysics. This book
provides theoretical and practical introductions at research level
to topics such as localization of waves, band gap materials, random
matrices, dielectric media, laser cooled atoms, wave scattering
from rough surfaces, randomly layered media, seismic waves and
imaging the earth.
With rising energy costs and the threat of diminishing resources
affecting all international economies, the computation of energy
required to extract and refine a resource--net energy analysis--has
become an important component of energy analysis. This volume fills
a major gap in the energy development literature by providing a
full-length scholarly treatment of the subject. Written for energy
researchers and managers in industries and utilities, "Net Energy
AnalysiS" thoroughly explains the theoretical principles
underlyiing net energy analysis, offers examples of how these
principles are applied, and provides an impartial critique of
current methods.
In its fifth extended edition the successful monograph package
"Multiphase Flow Dynamics" contains theory, methods and practical
experience for describing complex transient multi-phase processes
in arbitrary geometrical configurations, providing a systematic
presentation of the theory and practice of numerical multi-phase
fluid dynamics. In the present first volume the local volume and
time averaging is used to derive a complete set of conservation
equations for three fluids each of them having multi components as
constituents. Large parts of the book are devoted on the design of
successful numerical methods for solving the obtained system of
partial differential equations. Finally the analysis is repeated
for boundary fitted curvilinear coordinate systems designing
methods applicable for interconnected multi-blocks. This fifth
edition includes various updates, extensions, improvements and
corrections, as well as a completely new chapter containing the
basic physics describing the multi-phase flow in turbines,
compressors, pumps and other rotating hydraulic machines.
This book systematically describes the concepts and principles for
multi-satellite relative motion, passive and near passive formation
designs, trajectory planning and control for fuel optimal formation
maneuvers, and formation flying maintenance control design. As
such, it provides a sound foundation for researchers and engineers
in this field to develop further theories and pursue their
implementations. Though satellite formation flying is widely
considered to be a major advance in space technology, there are few
systematic treatments of the topic in the literature. Addressing
that gap, the book offers a valuable resource for academics,
researchers, postgraduate students and practitioners in the field
of satellite science and engineering.
Fluid Mechanics: An Intermediate Approach addresses the problems
facing engineers today by taking on practical, rather than
theoretical problems. Instead of following an approach that focuses
on mathematics first, this book allows you to develop an intuitive
physical understanding of various fluid flows, including internal
compressible flows with simultaneous area change, friction, heat
transfer, and rotation. Drawing on over 40 years of industry and
teaching experience, the author emphasizes physics-based analyses
and quantitative predictions needed in the state-of-the-art
thermofluids research and industrial design applications. Numerous
worked-out examples and illustrations are used in the book to
demonstrate various problem-solving techniques. The book covers
compressible flow with rotation, Fanno flows, Rayleigh flows,
isothermal flows, normal shocks, and oblique shocks; Bernoulli,
Euler, and Navier-Stokes equations; boundary layers; and flow
separation. Includes two value-added chapters on special topics
that reflect the state of the art in design applications of fluid
mechanics Contains a value-added chapter on incompressible and
compressible flow network modeling and robust solution methods not
found in any leading book in fluid mechanics Gives an overview of
CFD technology and turbulence modeling without its comprehensive
mathematical details Provides an exceptional review and
reinforcement of the physics-based understanding of incompressible
and compressible flows with many worked-out examples and problems
from real-world fluids engineering applications Fluid Mechanics: An
Intermediate Approach uniquely aids in the intuitive understanding
of various fluid flows for their physics-based analyses and
quantitative predictions needed in the state-of-the-art
thermofluids research and industrial design applications.
This monograph presents a systematic analysis of bubble system
mathematics, using the mechanics of two-phase systems in
non-equilibrium as the scope of analysis. The author introduces the
thermodynamic foundations of bubble systems, ranging from the
fundamental starting points to current research challenges. This
book addresses a range of topics, including description methods of
multi-phase systems, boundary and initial conditions as well as
coupling requirements at the phase boundary. Moreover, it presents
a detailed study of the basic problems of bubble dynamics in a
liquid mass: growth (dynamically and thermally controlled),
collapse, bubble pulsations, bubble rise and breakup. Special
emphasis is placed on bubble dynamics in turbulent flows. The
analysis results are used to write integral equations governing the
rate of vapor generation (condensation) in non-equilibrium flows,
thus creating a basis for solving a number of practical problems.
This book is the first to present a comprehensive theory of boiling
shock with applications to problems of critical discharge and
flashing under the fast decompression conditions. Reynolds' analogy
was the key to solving a number of problems in subcooled
forced-flow boiling, the theoretical results of which led to
easy-to-use design formulas. This book is primarily aimed at
graduate and post-graduate students specializing in hydrodynamics
or heat and mass transfer, as well as research expert focused on
two-phase flow. It will also serve as a comprehensive reference
book for designers working in the field of power and aerospace
technology.
In this book, recent developments in our understanding of
fundamental vortex ring and jet dynamics will be discussed, with a
view to shed light upon their near-field behaviour which underpins
much of their far-field characteristics. The chapters provide
up-to-date research findings by their respective experts and seek
to link near-field flow physics of vortex ring and jet flows with
end-applications in mind. Over the past decade, our knowledge on
vortex ring and jet flows has grown by leaps and bounds, thanks to
increasing use of high-fidelity, high-accuracy experimental
techniques and numerical simulations. As such, we now have a much
better appreciation and understanding on the initiation and
near-field developments of vortex ring and jet flows under many
varied initial and boundary conditions. Chapter 1 outlines the
vortex ring pinch-off phenomenon and how it relates to the initial
stages of jet formations and subsequent jet behaviour, while
Chapter 2 takes a closer look at the behaviour resulting from
vortex ring impingement upon solid boundaries and how the use of a
porous surface alters the impingement process. Chapters 3 and 4
focus upon the formation of synthetic jets from vortex ring
structures experimentally and numerically, the challenges in
understanding the relationships between their generation parameters
and how they can be utilized in flow separation control problems.
Chapter 5 looks at the use of imposing selected nozzle
trailing-edge modifications to effect changes upon the near-field
dynamics associated with circular, noncircular and coaxial jets,
with a view to control their mixing behaviour. And last but not
least, Chapter 6 details the use of unique impinging jet
configurations and how they may lend themselves towards greater
understanding and operating efficacies in heat transfer problems.
This book will be useful to postgraduate students and researchers
alike who wish to get up to speed regarding the latest developments
in vortex ring and jet flow behaviour and how their interesting
flow dynamics may be put into good use in their intended
applications.
Many open questions in Theoretical Physics pertain to strongly
interacting quantum systems such as the quark-gluon plasma (QGP)
produced in heavy-ion collisions or the strange-metal phase
observed in many high-temperature superconductors. These systems
are notoriously difficult to study using traditional methods such
as perturbation theory, but the gauge/gravity duality offers a
successful alternative approach, which maps strongly interacting
quantum gauge theories to computationally tractable, classical
gravity theories. This book begins with a pedagogical introduction
to how the duality can be used to extract transport properties of
quantum systems from their gravity dual. It then presents new
results on hydrodynamic transport in strongly interacting quantum
fluids, providing strong evidence that the Haack-Yarom identity
between second-order transport coefficients holds for all fluids
with a classical gravity dual and may be a universal feature of all
strongly coupled quantum fluids such as the QGP. Newly derived Kubo
formulae, expressing transport coefficients in terms of quantum
correlators, hold independently of the duality. Lastly, the book
discusses new results on magnetic impurities in strongly correlated
metals, including the first dual gravity description of an
inter-impurity coupling, crucial for the quantum criticality
underlying the strange-metal phase.
This book highlights time reversal acoustics, techniques based on
the symmetry properties of acoustic fields. It has the unique
feature that the first eleven chapters of the book are on the
indepth studies of the theories of time reversal acoustics. The
remaining chapters are on the four major applications of time
reversal acoustics, together with their experimental setups and
case studies: underwater communication, seismic
exploration,nondestructive evaluation, and medical ultrasound
imaging.. The gauge invariance approach to acoustic fields,
proposed by the author in 2007, is confirmed by the successful
fabrication of acoustical metamaterials and the applications of
time reversal acoustics to superresolution. The book also presents
groundbreaking applications of time reversal acoustics to
underwater communication technology and the application of
metamaterials to time reversal acoustics.
This monograph describes various methods for solving deformation
problems of particulate solids, taking the reader from analytical
to computational methods. The book is the first to present the
topic of linear elasticity in mathematical terms that will be
familiar to anyone with a grounding in fluid mechanics. It
incorporates the latest advances in computational algorithms for
elliptic partial differential equations, and provides the
groundwork for simulations on high performance parallel computers.
Numerous exercises complement the theoretical discussions, and a
related set of self-documented programs is available to readers
with Internet access. The work will be of interest to advanced
students and practicing researchers in mechanical engineering,
chemical engineering, applied physics, computational methods, and
developers of numerical modeling software.
This book provides novel insights into two fundamental subjects in
solid mechanics: virtual work and shape change. The author explains
how the principle of virtual work represents a tool for analysis of
the mechanical effects of the evolution of the shape of a system,
how it can be applied to observations and experiments, and how it
may be adapted to produce predictive theories of numerous
phenomena. The book is divided into three parts. The first relates
the principle of virtual work to what we observe with our eyes, the
second demonstrates its flexibility on the basis of many examples,
and the third applies the principle to predict the motion of solids
with large deformations. Examples of both usual and unusual shape
changes are presented, and equations of motion, some of which are
entirely new, are derived for smooth and non-smooth motions
associated with, for instance, systems of disks, systems of balls,
classical and non-classical small deformation theories, systems
involving volume and surface damage, systems with interactions at a
distance (e.g., solids reinforced by fibers), systems involving
porosity, collisions, and fracturing of solids.
This monograph deals with the mechanics and thermodynamics of
materials with memory, including properties of the dynamical
equations that describe their evolution in time under varying
loads. A work in four parts, the first is an introduction to
continuum mechanics, including classical fluid mechanics, linear
and non-linear elasticity. The second part considers continuum
thermodynamics and its use to derive constitutive equations of
materials with memory, including viscoelastic solids, fluids, heat
conductors and some examples of non-simple materials. In the third
part, free energies for materials with linear memory constitutive
relations are discussed. The concept of a minimal state is
introduced. Explicit formulae are presented for the minimum and
related free energies. The final part deals with existence,
uniqueness, and stability results for the integrodifferential
equations describing the dynamical evolution of viscoelastic
materials, including a new approach based on minimal states rather
than histories. There are also chapters on the controllability of
thermoelastic systems with memory, the Saint-Venant problem for
viscoelastic materials and on the theory of inverse problems. The
second edition includes a new chapter on thermoelectromagnetism as
well as recent findings on minimal states and free energies. It
considers the case of minimum free energies for non-simple
materials and dielectrics, together with an introduction to
fractional derivative models.
This thesis presents experimental and theoretical investigations of
the connection between the time asymmetry in the short-time
evolution of particle clusters and the intrinsic irreversibility of
turbulent flows due to the energy cascade. The term turbulence
describes a special state of a continuous medium in which many
interacting degrees of freedom are excited. One of the interesting
phenomena observed in turbulent flows is their time
irreversibility. When milk is stirred into coffee, for example,
highly complex and interwoven structures are produced, making the
mixing process irreversible. This behavior can be analyzed in more
detail by studying the dispersion of particle clusters. Previous
experimental and numerical studies on the time asymmetry in
two-particle dispersion indicate that particles separate faster
backwards than forwards in time, but no conclusive explanation has
yet been provided. In this thesis, an experimental study on the
short-time behavior of two- and four-particle dispersion in a
turbulent water flow between two counter-rotating propellers is
presented. A brief but rigorous theoretical analysis reveals that
the observed time irreversibility is closely linked to the
turbulence energy cascade. Additionally, it is demonstrated
experimentally that the addition of minute amounts of polymers to
the flow has a significant impact on multi-particle dispersion due
to an alteration of the energy cascade.
This research monograph discusses novel approaches to geometric
continuum mechanics and introduces beams as constraint continuous
bodies. In the coordinate free and metric independent geometric
formulation of continuum mechanics as well as for beam theories,
the principle of virtual work serves as the fundamental principle
of mechanics. Based on the perception of analytical mechanics that
forces of a mechanical system are defined as dual quantities to the
kinematical description, the virtual work approach is a systematic
way to treat arbitrary mechanical systems. Whereas this methodology
is very convenient to formulate induced beam theories, it is
essential in geometric continuum mechanics when the assumptions on
the physical space are relaxed and the space is modeled as a smooth
manifold. The book addresses researcher and graduate students in
engineering and mathematics interested in recent developments of a
geometric formulation of continuum mechanics and a hierarchical
development of induced beam theories.
Collates the most relevant and up to date information on renewable
energy systems in a user friendly format for undergraduate and high
school students Focused on power production technologies from
renewable energy sources. An introduction to how sources of
renewable energy work; their advantages and drawbacks. Timely text
with the need for fast adoption of renewable energy technologies
around the world. Diverse audience including students with some
scientific background such as final year in high school wanting to
know more about combatting climate change.
|
You may like...
Rethinking Debussy
Elliott Antokoletz, Marianne Wheeldon
Hardcover
R1,955
Discovery Miles 19 550
|