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Books > Science & Mathematics > Physics > Classical mechanics > General
This book focuses on the latest applications of nonlinear
approaches in engineering and addresses a range of scientific
problems. Examples focus on issues in automotive technology,
including automotive dynamics, control for electric and hybrid
vehicles, and autodriver algorithm for autonomous vehicles. Also
included are discussions on renewable energy plants, data modeling,
driver-aid methods, and low-frequency vibration. Chapters are based
on invited contributions from world-class experts who advance the
future of engineering by discussing the development of more
optimal, accurate, efficient, cost, and energy effective systems.
This book is appropriate for researchers, students, and practising
engineers who are interested in the applications of nonlinear
approaches to solving engineering and science problems. Presents a
broad range of practical topics and approaches; Explains approaches
to better, safer, and cheaper systems; Emphasises automotive
applications, physical meaning, and methodologies.
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.
The objective of this textbook is the construction, analysis, and
interpretation of mathematical models to help us understand the
world we live in. Rather than follow a case study approach it
develops the mathematical and physical ideas that are fundamental
in understanding contemporary problems in science and engineering.
Science evolves, and this means that the problems of current
interest continually change. What does not change as quickly is the
approach used to derive the relevant mathematical models, and the
methods used to analyze the models. Consequently, this book is
written in such a way as to establish the mathematical ideas
underlying model development independently of a specific
application. This does not mean applications are not considered,
they are, and connections with experiment are a staple of this
book. The book, as well as the individual chapters, is written in
such a way that the material becomes more sophisticated as you
progress. This provides some flexibility in how the book is used,
allowing consideration for the breadth and depth of the material
covered. Moreover, there are a wide spectrum of exercises and
detailed illustrations that significantly enrich the material.
Students and researchers interested in mathematical modelling in
mathematics, physics, engineering and the applied sciences will
find this text useful. The material, and topics, have been updated
to include recent developments in mathematical modeling. The
exercises have also been expanded to include these changes, as well
as enhance those from the first edition. Review of first edition:
"The goal of this book is to introduce the mathematical tools
needed for analyzing and deriving mathematical models. ... Holmes
is able to integrate the theory with application in a very nice way
providing an excellent book on applied mathematics. ... One of the
best features of the book is the abundant number of exercises found
at the end of each chapter. ... I think this is a great book, and I
recommend it for scholarly purposes by students, teachers, and
researchers." Joe Latulippe, The Mathematical Association of
America, December, 2009
This work discusses the problem of physical meaning of the three
main dynamical properties of matter motion, namely gravitation,
inertia and weightlessness. It considers that Newtonian gravitation
and Galileo's inertia are the centrifugal effects of interaction
energy of a self-gravitating n-body system and its potential field.
A self-gravitating celestial body appears to be an excellent
natural centrifuge that is rotated by the energy of interacting
elementary particles. Weightlessness is a consequence of the
centrifugal effect of elementary particles interaction that appears
at differentiation of a body matter with respect to density. The
author analyzes the problem of creation of mass particles and
elements from the elementary particles of "dark matter", and
discusses the basic physics of the Jacobi dynamics from the
viewpoint of quantum gravitation. Chapters assert that the
fundamentals of Jacobi dynamics completely correspond to conditions
of natural centrifuges. The centrifuge is an excellent experimental
model for the study of dynamical effects in solving the many body
problem. In this book, readers may follow the demonstration of some
of those studies and follow derivations, solutions and conclusions
that provide a solid basis for further research in celestial
mechanics, geophysics, astrophysics, geo- and planetary sciences.
Energy Management Principles: Applications, Benefits, Savings,
Second Edition is a comprehensive guide to the fundamental
principles and systematic processes of maintaining and improving
energy efficiency and reducing waste. Fully revised and updated
with analysis of world energy utilization, incentives and utility
rates, and new content highlighting how energy efficiency can be
achieved through 1 of 16 outlined principles and programs, the book
presents cost effective analysis, case studies, global examples,
and guidance on building and site auditing. This fully revised
edition provides a theoretical basis for conservation, as well as
the avenues for its application, and by doing so, outlines the
potential for cost reductions through an analysis of
inefficiencies.
This book evaluates and suggests potentially critical improvements
to causal set theory, one of the best-motivated approaches to the
outstanding problems of fundamental physics. Spacetime structure is
of central importance to physics beyond general relativity and the
standard model. The causal metric hypothesis treats causal
relations as the basis of this structure. The book develops the
consequences of this hypothesis under the assumption of a
fundamental scale, with smooth spacetime geometry viewed as
emergent. This approach resembles causal set theory, but differs in
important ways; for example, the relative viewpoint, emphasizing
relations between pairs of events, and relationships between pairs
of histories, is central. The book culminates in a dynamical law
for quantum spacetime, derived via generalized path summation.
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 - 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.
Pneumatic Conveying Design Guide, 3rd Edition is divided into three
essential parts, system and components, system design, and system
operation, providing both essential foundational knowledge and
practical information to help users understand, design, and build
suitable systems. All aspects of the pneumatic conveying system are
covered, including the type of materials used, conveying distance,
system constraints, including feeding and discharging, health and
safety requirements, and the need for continuous or batch
conveying. This new edition also covers information on the other
conveying systems available and compares them to this method. The
existing content is brought up-to-date and the references are
expanded and updated. This guide is an almost encyclopedic coverage
of pneumatic conveying and as such is an essential text for both
designers and users of pneumatic conveying systems. Each aspect of
the subject is discussed from basic principles to support those new
to, or learning about, this versatile technique.
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.
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.
Energy storage devices are a crucial area of research and
development across many engineering disciplines and industries.
While batteries provide the significant advantage of high energy
density, their limited life cycles, disposal challenges and charge
and discharge management constraints undercut their effectiveness
in certain applications. Compared to electrochemical cells,
supercapacitors are charge-storage devices with much longer life
cycles, yet they have traditionally been hobbled by limited DC
voltage capabilities and energy density. However, recent advances
are improving these issues.
This book provides the opportunity to expand your knowledge of
innovative supercapacitor applications, comparing them to other
commonly used energy storage devices. It will strengthen your
understanding of energy storage from a practical,
applications-based point-of-view, without requiring detailed
examination of underlying electrochemical equations. No matter what
your field, you will find inspiration and guidance in the
cutting-edge advances in energy storage devices in this book.
Provides explanations of the latest energy storage devices in a
practical applications-based context Includes examples of circuit
designs that optimize the use of supercapacitors, and pathways to
improve existing designs by effectively managing energy storage
devices crucial to both low and high power applications.Covers
batteries, BMS (battery management systems) and cutting-edge
advances in supercapacitors, providing a unique compare and
contrast examination demonstrating applications where each
technology can offer unique benefits
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.
Advances in Energy, Environment and Chemical Engineering collects
papers resulting from the conference on Energy, Environment and
Chemical Engineering (AEECE 2022), Dali, China, 24-26 June, 2022.
The primary goal is to promote research and developmental
activities in energy technology, environment engineering and
chemical engineering. Moreover, it aims to promote scientific
information interchange between scholars from the top universities,
business associations, research centers and high-tech enterprises
working all around the world. The conference conducts in-depth
exchanges and discussions on relevant topics such as energy
engineering, environment technology and advanced chemical
technology, aiming to provide an academic and technical
communication platform for scholars and engineers engaged in
scientific research and engineering practice in the field of saving
technologies, environmental chemistry, clean production and so on.
By sharing the research status of scientific research achievements
and cutting-edge technologies, it helps scholars and engineers all
over the world comprehend the academic development trend and
broaden research ideas. So as to strengthen international academic
research, academic topics exchange and discussion, and promote the
industrialization cooperation of academic achievements.
Some extremum and unilateral boundary value problems in viscous
hydrodynamics.- On axisymmetric motion of the fluid with a free
surface.- On the occurrence of singularities in axisymmetrical
problems of hele-shaw type.- New asymptotic method for solving of
mixed boundary value problems.- Some results on the thermistor
problem.- New applications of energy methods to parabolic and
elliptic free boundary problems.- A localized finite element method
for nonlinear water wave problems.- Approximate method of
investigation of normal oscillations of viscous incompressible
liquid in container.- The classical Stefan problem as the limit
case of the Stefan problem with a kinetic condition at the free
boundary.- A mathematical model of oscillations energy dissipation
of viscous liquid in a tank.- Existence of the classical solution
of a two-phase multidimensional Stefan problem on any finite time
interval.- Asymptotic theory of propagation of nonstationary
surface and internal waves over uneven bottom.- Multiparametric
problems of two-dimensional free boundary seepage.- Nonisothermal
two-phase filtration in porous media.- Explicit solution of
time-dependent free boundary problems.- Nonequilibrium phase
transitions in frozen grounds.- System of variational inequalities
arising in nonlinear diffusion with phase change.- Contact
viscoelastoplastic problem for a beam.- Application of a
finite-element method to two-dimensional contact problems.-
Computations of a gas bubble motion in liquid.- Waves on the
liquid-gas free surface in the presence of the acoustic field in
gas.- Smooth bore in a two-layer fluid.- Numerical calculation of
movable free and contact boundaries in problems of dynamic
deformation of viscoelastic bodies.- On the canonical variables for
two-dimensional vortex hydrodynamics of incompressible fluid.-
About the method with regularization for solving the contact
problem in elasticity.- Space evolution of tornado-like vortex
core.- Optimal shape design for parabolic system and two-phase
Stefan problem.- Incompressible fluid flows with free boundary and
the methods for their research.- On the Stefan problems for the
system of equations arising in the modelling of liquid-phase
epitaxy processes.- Stefan problem with surface tension as a limit
of the phase field model.- The modelization of transformation phase
via the resolution of an inclusion problem with moving boundary.-
To the problem of constructing weak solutions in dynamic
elastoplasticity.- The justification of the conjugate conditions
for the Euler's and Darcy's equations.- On an evolution problem of
thermo-capillary convection.- Front tracking methods for
one-dimensional moving boundary problems.- On Cauchy problem for
long wave equations.- On fixed point (trial) methods for free
boundary problems.- Nonlinear theory of dynamics of a viscous fluid
with a free boundary in the process of a solid body wetting.
The principle aim of the book is to present a self-contained,
modern account of similarity and symmetry methods, which are
important mathematical tools for both physicists, engineers and
applied mathematicians. The idea is to provide a balanced
presentation of the mathematical techniques and applications of
symmetry methods in mathematics, physics and engineering. That is
why it includes recent developments and many examples in finding
systematically conservation laws, local and nonlocal symmetries for
ordinary and partial differential equations. The role of continuous
symmetries in classical and quantum field theories is exposed at a
technical level accessible even for non specialists. The importance
of symmetries in continuum mechanics and mechanics of materials is
highlighted through recent developments, such as the construction
of constitutive models for various materials combining Lie
symmetries with experimental data. As a whole this book is a unique
collection of contributions from experts in the field, including
specialists in the mathematical treatment of symmetries,
researchers using symmetries from a fundamental, applied or
numerical viewpoint. The book is a fascinating overview of symmetry
methods aimed for graduate students in physics, mathematics and
engineering, as well as researchers either willing to enter in the
field or to capture recent developments and applications of
symmetry methods in different scientific fields.
This book presents an introduction to the classical theories of
continuum mechanics; in particular, to the theories of ideal,
compressible, and viscous fluids, and to the linear and nonlinear
theories of elasticity. These theories are important, not only
because they are applicable to a majority of the problems in
continuum mechanics arising in practice, but because they form a
solid base upon which one can readily construct more complex
theories of material behavior. Further, although attention is
limited to the classical theories, the treatment is modern with a
major emphasis on foundations and structure
This book discusses the thermal-elastic mechanics problems of
concrete rectangular thin plate. Using theoretical derivation
combined with numerical examples, it explains in detail the
analytical solution of the deflection, bending moment, thermal
vibration and thermal buckling of concrete rectangular thin plate.
To facilitate application, the book also includes deflection and
bending moment calculation tables of concrete rectangular thin
plate with four edges supported and with free boundary conditions.
This book presents a wealth of images of shock wave phenomena,
gathered by the author over the past 40 years. Shadowgrams and
interferograms of basic shock-dynamic topics such as reflection,
diffraction, refraction, and focusing of shock waves in gases and
liquids are sequentially displayed. Though the images themselves
are self-explanatory, brief explanations of the experimental
conditions are included, so as to facilitate analysis and numerical
reproduction of the image data. In addition, the book presents
interferometric observations of underwater shock wave/bubble
interactions, and highlights the multifaceted applications of shock
wave phenomena to medicine and industry. Given its scope, the book
offers a unique resource for students and researchers who are
interested in shock wave phenomena. However, the content has also
been specifically prepared for the benefit of readers who are
interested in gas dynamics and medical applications of shock waves,
and are looking for reliable experimental images.
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