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Incompressible Fluid Dynamics is a textbook for graduate and
advanced undergraduate students of engineering, applied
mathematics, and geophysics. The text comprises topics that
establish the broad conceptual framework of the subject, expose key
phenomena, and play an important role in the myriad of applications
that exist in both nature and technology. The first half of the
book covers topics that include the inviscid equations of Euler and
Bernoulli, the Navier-Stokes equation and some of its simpler exact
solutions, laminar boundary layers and jets, potential flow theory
with its various applications to aerodynamics, the theory of
surface gravity waves, and flows with negligible inertia, such as
suspensions, lubrication layers, and swimming micro-organisms. The
second half is more specialised. Vortex dynamics, which is so
essential to many natural phenomena in fluid mechanics, is
developed in detail. This is followed by chapters on stratified
fluids and flows subject to a strong background rotation, both
topics being central to our understanding of atmospheric and
oceanic flows. Fluid instabilities and the transition to turbulence
are also covered, followed by two chapters on fully developed
turbulence. The text is largely self-contained, and aims to combine
mathematical precision with a breadth of engineering and
geophysical applications. Throughout, physical insight is given
priority over mathematical detail.
An Introduction to Electrodynamics provides an excellent foundation
for those undertaking a course on electrodynamics, providing an
in-depth yet accessible treatment of topics covered in most
undergraduate courses, but goes one step further to introduce
advanced topics in applied physics, such as fusions plasmas,
stellar magnetism and planetary dynamos. Some of the central ideas
behind electromagnetic waves, such as three-dimensional wave
propagation and retarded potentials, are first explored in the
introductory background chapters and explained in the much simpler
context of acoustic waves. The inclusion of two chapters on
magnetohydrodynamics provides the opportunity to illustrate the
basic theory of electromagnetism with a wide variety of physical
applications of current interest. Davidson places great emphasis on
the pedagogical development of ideas throughout the text, and
includes many detailed illustrations and well-chosen exercises to
complement the material and encourage student development.
An Introduction to Electrodynamics provides an excellent foundation
for those undertaking a course on electrodynamics, providing an
in-depth yet accessible treatment of topics covered in most
undergraduate courses, but goes one step further to introduce
advanced topics in applied physics, such as fusions plasmas,
stellar magnetism and planetary dynamos. Some of the central ideas
behind electromagnetic waves, such as three-dimensional wave
propagation and retarded potentials, are first explored in the
introductory background chapters and explained in the much simpler
context of acoustic waves. The inclusion of two chapters on
magnetohydrodynamics provides the opportunity to illustrate the
basic theory of electromagnetism with a wide variety of physical
applications of current interest. Davidson places great emphasis on
the pedagogical development of ideas throughout the text, and
includes many detailed illustrations and well-chosen exercises to
complement the material and encourage student development.
The role of high performance computing in current research on
transitional and turbulent flows is undoubtedly very important.
This review volume provides a good platform for leading experts and
researchers in various fields of fluid mechanics dealing with
transitional and turbulent flows to synergistically exchange ideas
and present the state of the art in the fields.Contributed by
eminent researchers, the book chapters feature keynote lectures,
panel discussions and the best invited contributed papers.
Magnetohydrodynamics (MHD) plays a crucial role in astrophysics,
planetary magnetism, engineering and controlled nuclear fusion.
This comprehensive textbook emphasizes physical ideas, rather than
mathematical detail, making it accessible to a broad audience.
Starting from elementary chapters on fluid mechanics and
electromagnetism, it takes the reader all the way through to the
latest ideas in more advanced topics, including planetary dynamos,
stellar magnetism, fusion plasmas and engineering applications.
With the new edition, readers will benefit from additional material
on MHD instabilities, planetary dynamos and applications in
astrophysics, as well as a whole new chapter on fusion plasma MHD.
The development of the material from first principles and its
pedagogical style makes this an ideal companion for both
undergraduate students and postgraduate students in physics,
applied mathematics and engineering. Elementary knowledge of vector
calculus is the only prerequisite.
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