Dimensional analysis is a magical way of finding useful results
with almost no effort. It makes it possible to bring together the
results of experiments and computations in a concise but exact
form, so that they can be used efficiently and economically to make
predictions. It takes advantage of the fact that phenomena go their
way independently of the units we measure them with, because the
units have nothing to do with the underlying physics. This simple
idea turns out to be unexpectedly powerful.Students often fail to
gain from dimensional analysis, because bad teaching has led them
to suppose it cannot be used to derive new results, and can only
confirm results that have been secured by some other route. That
notion is false. This book demonstrates what can be done with
dimensional analysis through a series of examples, starting with
Pythagoras' theorem and the simple pendulum, and going on to a
number of practical examples, many from the author's experience in
ocean engineering. In parallel, the book explains the underlying
theory, starting with Vaschy's elegant treatment, whilst avoiding
unnecessary complexity. It also explores the use and misuse of
models, which can be useful but can also be seriously misleading.
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