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.
"Laminar Flow Theory is a milestone in the fluid mechanics literature because it introduces a new viewpoint into theoretical fluid mechanics. . . . this small book should be in the library of every serious scholar of fluid mechanics."--AIAA Journal
Table of Contents:
Ch. 1 The Navier-Stokes Equations for a Viscous Heat-Conducting Compressible Fluid 3
Ch. 2 Review of Viscous Incompressible Fluids 45
Ch. 3 Introductory Discussion of the Navier-Stokes Equations for a Compressible Fluid 150
Ch. 4 Laminar Boundary Layers in Compressible Fluids 191
Cited References 265