Fluid mechanics is one of the greatest accomplishments of
classical physics. The Navier-Stokes equations, first derived in
the eighteenth century, serve as an accurate mathematical model
with which to describe the flow of a broad class of real fluids.
Not only is the subject of interest to mathematicians and
physicists, but it is also indispensable to mechanical,
aeronautical, and chemical engineers, who have to apply the
equations to real-world examples, such as the flow of air around an
aircraft wing or the motion of liquid droplets in a suspension. In
this book, which first appeared in a comprehensive collection of
essays entitled "The Theory of Laminar Flows" (Princeton, 1964), P.
A. Lagerstrom imparts the essential theoretical framework of
laminar flows to the reader. A concise and elegant description,
Lagerstrom's work remains a model piece of writing and has much to
offer today's reader seeking an introduction to the flow of
nonturbulent fluids.
Beginning with the conservation laws that result in the equation
of continuity, the Navier-Stokes equation, and the energy transport
equation, Lagerstrom moves on to consider viscous waves, low
Reynolds-number approximations such as Stokes flow and the Oseen
equations, and then high Reynolds-number approximations that are
used to describe boundary layers, jets, and wakes. Finally, he
examines some compressibility effects, such as those that occur in
the laminar boundary layer around a flat plate, both with and
without a pressure gradient.
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