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Books > Science & Mathematics > Physics > Classical mechanics > General
Aerodynamics is a science that improves the ability to understand
theoretical basics and apply fundamental physics in real-life
problems. The study of the motion of air, both externally over an
airplane wing and internally over a scramjet engine intake, has
acknowledged the significance of studying both incompressible and
compressible flow aerodynamics. Aspects and Applications of
Incompressible and Compressible Aerodynamics discusses all aspects
of aerodynamics from application to theory. It further presents the
equations and mathematical models used to describe and characterize
flow fields as well as their thermodynamic aspects and
applications. Covering topics such as airplane configurations,
hypersonic vehicles, and the parametric effect of roughness, this
premier reference source is an essential resource for engineers,
scientists, students and educators of higher education, military
experts, libraries, government officials, researchers, and
academicians.
Who Needs Nuclear Power challenges conventional thinking about the
role of civil nuclear power in a rapidly changing energy context,
where new energy carriers are penetrating markets around the world.
Against the backdrop of a global energy transition and the defining
issue of Climate Change, Chris Anastasi assesses new nuclear build
in a fast-moving sector in which new technologies and practices are
rapidly emerging. He considers various countries at different
stages of nuclear industry development, and discusses their
political, legal and technical institutions that provide the
framework for both existing nuclear facilities and new build, as
well as a country's technical capability. He also highlights the
critical issue of nuclear safety culture, exploring how
organisations go about instilling it and maintaining it in their
operations and encouraging it in their supply chains; the critical
role played by independent regulators and international
institutions in ensuring the integrity of the industry is also
highlighted. This book provides a balanced and holistic view of
nuclear power for both an expert and non-expert audience, and a
realistic assessment of the potential for this technology over the
critical period to 2050 and beyond.
With the fast pace of developments in quantum technologies, it is
more than ever necessary to make the new generation of students in
science and engineering familiar with the key ideas behind such
disruptive systems. This book intends to fill such a gap between
experts and non-experts in the field by providing the reader with
the basic tools needed to understand the latest developments in
quantum communications and its future directions. This is not only
to expand the audience knowledge but also to attract new talents to
this flourishing field. To that end, the book as a whole does not
delve into much detail and most often suffices to provide some
insight into the problem in hand. The primary users of the book
will then be students in science and engineering in their final
year of undergraduate studies or early years of their post-graduate
programmes.
Integrable models have a fascinating history with many important
discoveries that dates back to the famous Kepler problem of
planetary motion. Nowadays it is well recognised that integrable
systems play a ubiquitous role in many research areas ranging from
quantum field theory, string theory, solvable models of statistical
mechanics, black hole physics, quantum chaos and the AdS/CFT
correspondence, to pure mathematics, such as representation theory,
harmonic analysis, random matrix theory and complex geometry.
Starting with the Liouville theorem and finite-dimensional
integrable models, this book covers the basic concepts of
integrability including elements of the modern geometric approach
based on Poisson reduction, classical and quantum factorised
scattering and various incarnations of the Bethe Ansatz.
Applications of integrability methods are illustrated in vast
detail on the concrete examples of the Calogero-Moser-Sutherland
and Ruijsenaars-Schneider models, the Heisenberg spin chain and the
one-dimensional Bose gas interacting via a delta-function
potential. This book has intermediate and advanced topics with
details to make them clearly comprehensible.
This book is a complete volume of Newton's mathematical principles
relating to natural philosophy and his system of the world. Newton,
one of the most brilliant scientists and thinkers of all time,
presents his theories, formulas and thoughts. Included are chapters
relative to the motion of bodies; motion of bodies in resisting
mediums; and system of the world in mathematical treatment; a
section on axioms or laws of motion, and definitions.
New edition of the popular textbook, comprehensively updated
throughout and now includes a new dedicated website for gas dynamic
calculations The thoroughly revised and updated third edition of
Fundamentals of Gas Dynamics maintains the focus on gas flows below
hypersonic. This targeted approach provides a cohesive and rigorous
examination of most practical engineering problems in this gas
dynamics flow regime. The conventional one-dimensional flow
approach together with the role of temperature-entropy diagrams are
highlighted throughout. The authors--noted experts in the
field--include a modern computational aid, illustrative charts and
tables, and myriad examples of varying degrees of difficulty to aid
in the understanding of the material presented. The updated edition
of Fundamentals of Gas Dynamics includes new sections on the shock
tube, the aerospike nozzle, and the gas dynamic laser. The book
contains all equations, tables, and charts necessary to work the
problems and exercises in each chapter. This book's accessible but
rigorous style: Offers a comprehensively updated edition that
includes new problems and examples Covers fundamentals of gas flows
targeting those below hypersonic Presents the one-dimensional flow
approach and highlights the role of temperature-entropy diagrams
Contains new sections that examine the shock tube, the aerospike
nozzle, the gas dynamic laser, and an expanded coverage of rocket
propulsion Explores applications of gas dynamics to aircraft and
rocket engines Includes behavioral objectives, summaries, and check
tests to aid with learning Written for students in mechanical and
aerospace engineering and professionals and researchers in the
field, the third edition of Fundamentals of Gas Dynamics has been
updated to include recent developments in the field and retains all
its learning aids. The calculator for gas dynamics calculations is
available at https: //www.oscarbiblarz.com/gascalculator gas
dynamics calculations
The Boussinesq equation is the first model of surface waves in
shallow water that considers the nonlinearity and the dispersion
and their interaction as a reason for wave stability known as the
Boussinesq paradigm. This balance bears solitary waves that behave
like quasi-particles. At present, there are some Boussinesq-like
equations. The prevalent part of the known analytical and numerical
solutions, however, relates to the 1d case while for
multidimensional cases, almost nothing is known so far. An
exclusion is the solutions of the Kadomtsev-Petviashvili equation.
The difficulties originate from the lack of known analytic initial
conditions and the nonintegrability in the multidimensional case.
Another problem is which kind of nonlinearity will keep the
temporal stability of localized solutions. The system of coupled
nonlinear Schroedinger equations known as well as the vector
Schroedinger equation is a soliton supporting dynamical system. It
is considered as a model of light propagation in Kerr isotropic
media. Along with that, the phenomenology of the equation opens a
prospect of investigating the quasi-particle behavior of the
interacting solitons. The initial polarization of the vector
Schroedinger equation and its evolution evolves from the vector
nature of the model. The existence of exact (analytical) solutions
usually is rendered to simpler models, while for the vector
Schroedinger equation such solutions are not known. This determines
the role of the numerical schemes and approaches. The vector
Schroedinger equation is a spring-board for combining the reduced
integrability and conservation laws in a discrete level. The
experimental observation and measurement of ultrashort pulses in
waveguides is a hard job and this is the reason and stimulus to
create mathematical models for computer simulations, as well as
reliable algorithms for treating the governing equations. Along
with the nonintegrability, one more problem appears here - the
multidimensionality and necessity to split and linearize the
operators in the appropriate way.
This is the proceedings of the 2nd International Conference on
Theoretical, Applied and Experimental Mechanics that was held in
Corfu, Greece, June 23-26, 2019. It presents papers focusing on all
aspects of theoretical, applied and experimental mechanics,
including biomechanics, composite materials, computational
mechanics, constitutive modeling of materials, dynamics,
elasticity, experimental mechanics, fracture, mechanical properties
of materials, micromechanics, nanomechanics, plasticity, stress
analysis, structures, wave propagation. The papers update the
latest research in their field, carried out since the last
conference in 2018. This book is suitable for engineers, students
and researchers who want to obtain an up-to-date view of the recent
advances in the area of mechanics.
Waste to Energy deals with the very topical subject of converting
the calorific content of waste material into useful forms of
energy. It complements and, to a certain degree, overlaps with its
companion volume, "Biomass to Biofuels", since a significant
proportion of biomass converted to energy nowadays originates from
various types of waste. The material in the first, more substantial
part of the volume has been arranged according to the type of
process for energy conversion. Biochemical processes are described
in six articles. These relate to the production of methane by
anaerobic digestion; reactor conversion efficiencies;
investigations on ethanol production from biodegradable municipal
solid waste through hydrolysis and fermentation; hydrogen
production from glucose through a hybrid anaerobic and
photosynthetic process; biodiesel production from used cooking oil
through base-catalyzed transesterification. Conversions by
thermochemical processes are discussed in the subsequent eleven
articles of the volume.These cover combustion, the direct use of
heat energy; using the heat produced in thermal power stations for
steam and, ultimately, electricity generation; municipal solid
waste and refuse-derived fuel. In another article, computational
fluid dynamics modelling is applied to assess the influence of
process parameters and to perform optimization studies. A group of
articles deal with more complex thermochemical processes involving
combustion combined with pyrolysis and gasification. Two articles
focus on biofuels as feed for fuel cells. In the last six articles,
the emphasis is on management and policy rather than technical
issues.
This book shows how the web-based PhysGL programming environment
(http://physgl.org) can be used to teach and learn elementary
mechanics (physics) using simple coding exercises. The book's theme
is that the lessons encountered in such a course can be used to
generate physics-based animations, providing students with
compelling and self-made visuals to aid their learning. Topics
presented are parallel to those found in a traditional physics
text, making for straightforward integration into a typical
lecture-based physics course. Users will appreciate the ease at
which compelling OpenGL-based graphics and animations can be
produced using PhysGL, as well as its clean, simple language
constructs. The author argues that coding should be a standard part
of lower-division STEM courses, and provides many anecdotal
experiences and observations, that include observed benefits of the
coding work.
This book seeks to construct a consistent fundamental quantum
theory of gravity, which is often considered one of the most
challenging open problems in present-day physics. It approaches
this challenge using modern functional renormalization group
techniques, and attempts to realize the idea of "Asymptotic Safety"
originally proposed by S. Weinberg. Quite remarkably, the book
makes significant progress regarding both the fundamental aspects
of the program and its phenomenological consequences. The
conceptual developments pioneer the construction of a well-behaved
functional renormalization group equation adapted to spacetimes
with a preferred time-direction. It is demonstrated that the
Asymptotic Safety mechanism persists in this setting and extends to
many phenomenologically interesting gravity-matter systems. These
achievements constitute groundbreaking steps towards bridging the
gap between quantum gravity in Euclidean and Lorentzian
spacetimes.The phenomenological applications cover core topics in
quantum gravity, e.g. constructing a phenomenologically viable
cosmological evolution based on quantum gravity effects in the very
early universe, and analyzing quantum corrections to black holes
forming from a spherical collapse.As a key feature, all
developments are presented in a comprehensive and accessible way.
This makes the work a timely and valuable guide into the rapidly
evolving field of Asymptotic Safety.
This book addresses problems in three main developments in modern
condensed matter physics- namely topological superconductivity,
many-body localization and strongly interacting
condensates/superfluids-by employing fruitful analogies from
classical mechanics. This strategy has led to tangible results,
firstly in superconducting nanowires: the density of states, a
smoking gun for the long sought Majorana zero mode is calculated
effortlessly by mapping the problem to a textbook-level classical
point particle problem. Secondly, in localization theory even the
simplest toy models that exhibit many-body localization are
mathematically cumbersome and results rely on simulations that are
limited by computational power. In this book an alternative
viewpoint is developed by describing many-body localization in
terms of quantum rotors that have incommensurate rotation
frequencies, an exactly solvable system. Finally, the fluctuations
in a strongly interacting Bose condensate and superfluid, a
notoriously difficult system to analyze from first principles, are
shown to mimic stochastic fluctuations of space-time due to quantum
fields. This analogy not only allows for the computation of
physical properties of the fluctuations in an elegant way, it sheds
light on the nature of space-time. The book will be a valuable
contribution for its unifying style that illuminates conceptually
challenging developments in condensed matter physics and its use of
elegant mathematical models in addition to producing new and
concrete results.
This accessible monograph introduces physicists to the general
relation between classical and quantum mechanics based on the
mathematical idea of deformation quantization and describes an
original approach to the theory of quantum integrable systems
developed by the author.The first goal of the book is to develop of
a common, coordinate free formulation of classical and quantum
Hamiltonian mechanics, framed in common mathematical language.In
particular, a coordinate free model of quantum Hamiltonian systems
in Riemannian spaces is formulated, based on the mathematical idea
of deformation quantization, as a complete physical theory with an
appropriate mathematical accuracy.The second goal is to develop of
a theory which allows for a deeper understanding of classical and
quantum integrability. For this reason the modern separability
theory on both classical and quantum level is presented. In
particular, the book presents a modern geometric separability
theory, based on bi-Poissonian and bi-presymplectic representations
of finite dimensional Liouville integrable systems and their
admissible separable quantizations.The book contains also a
generalized theory of classical Stackel transforms and the
discussion of the concept of quantum trajectories.In order to make
the text consistent and self-contained, the book starts with a
compact overview of mathematical tools necessary for understanding
the remaining part of the book. However, because the book is
dedicated mainly to physicists, despite its mathematical nature, it
refrains from highlighting definitions, theorems or
lemmas.Nevertheless, all statements presented are either proved or
the reader is referred to the literature where the proof is
available.
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