Fluid Mechanics
second edition
The multidisciplinary field of fluid mechanics is one of the most actively developing
fields of physics, mathematics and engineering. This textbook, fully revised and
enlarged for the Second Edition, presents the minimum of what every physicist,
engineer and mathematician needs to know about hydrodynamics. It includes new
illustrations throughout, using examples from everyday life: from hydraulic jumps in a
kitchen sink to Kelvin–Helmholtz instabilities in clouds and geophysical and
astrophysical phenomena, providing readers with a better understanding of the world
around them. Aimed at undergraduate and graduate students as well as researchers, the
book assumes no prior knowledge of the subject and only a basic understanding of
vector calculus and analysis. It contains 41 original problems with very detailed
solutions, progressing from dimensional estimates and intuitive arguments to detailed
computations to help readers understand fluid mechanics.
g r e g o r y fa l kov i c h is Professor in the Department of Physics of Complex
Systems at Weizmann Institute of Science in Rehovot, Israel. He has researched in
plasma, condensed matter, fluid mechanics, statistical and mathematical physics and
cloud physics and meteorology, and has won several awards for his work.
Published online by Cambridge University Press
“This is by far the best textbook on modern Fluid Mechanics I’ve seen in decades. It will
benefit both beginners, who wish to learn the field from scratch, and mature scientists
and engineers in need of catching up on its contemporary status. Throughout the book,
the emphasis is on the place of each particular equation in the “grand scheme of things”,
and on their internal connections. For this reason even researchers actively involved in
this exciting field will find it an invaluable source of ideas and inspiration.”
Professor Alexander Zamolodchikov,
Rutgers University
“This short book is elegant and poetic. It is written with passionate admiration for
its subject, fluids. Mathematicians interested in the Navier Stokes model for fluids
can gain intuition into its unknown mysteries. They can gain informed speculations
about long time prediction and they can realize the value of knowing about the
possible singularities of ideal fluids without friction. Mathematicians and physicists
not primarily interested in fluids can learn why they might well profit from a familiarity
with the rich panorama surveyed in this work.”
Professor Dennis Sullivan,
City University of New York and Stony Brook University
“Fluid dynamics is a classic subject, and one whose importance only grows larger with
time. Grisha Falkovich’s text combines concision with precision as it leads physicists
through a course on fluids at the depth they expect. A unique feature of this text is its
treatment of dispersive wave interaction, modulations, collapse and solitons alongside
traditional topics like turbulence and shocks. My students and I learn from it with
pleasure during courses on both fluid and plasma physics.”
Professor Patrick Diamond,
University of California San Diego
“Gregory Falkovich has written a must-read for anyone in need of a concise and
basic introduction to fluid dynamics. Since fluids and gases are everywhere, from
microorganisms to galactic scales, there might be more in need than realized. . . At
the same time, advanced readers will appreciate the overall quality and some gems like
the sections on quasi-momentum and dispersive waves. I have this book on my shelves
and highly recommend it!”
Professor Massimo Vergassola,
University of California San Diego
Published online by Cambridge University Press
Fluid Mechanics
second edition
G R E G O RY FA L KOV I C H
Weizmann Institute of Science, Rehovot, Israel
Published online by Cambridge University Press
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www.cambridge.org
Information on this title: www.cambridge.org/9781107129566
DOI: 10.1017/9781316416600
© Gregory Falkovich 2018
This publication is in copyright. Subject to statutory exception
and to the provisions of relevant collective licensing agreements,
no reproduction of any part may take place without the written
permission of Cambridge University Press.
First published 2018
Printed in the United Kingdom by TJ International Ltd. Padstow Cornwall
A catalogue record for this publication is available from the British Library.
ISBN 978-1-107-12956-6 Hardback
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Published online by Cambridge University Press