This book presents a focused, readable account of the principal
physical and mathematical ideas at the heart of fluid dynamics.
Graduate students in engineering, applied math and physics taking
their first graduate course in fluids will find this book
invaluable in providing the background in physics and mathematics
necessary to pursue advanced study. The exposition follows an arc
through the subject building towards a detailed derivation of the
Navier-Stokes and energy equations followed by many examples of
their use in studying the dynamics of fluid flows. Modern tensor
analysis is used to simplify the mathematical derivations thus
allowing a clearer view of the physics. The motivation behind many
fundamental concepts such as Bernoulli's equation and the stream
function are included. Many exercises are designed with a view
toward using MATLAB (R) or equivalent to simplify and extend the
analysis of fluid motion including developing flow simulations
based on techniques described in the book.
General
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