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Fluid mechanics. (English) Zbl 0780.76001
San Diego, CA: Academic Press, Inc.. xxii, 638 p. (1990).
This book is a basic introduction to the subject of fluid mechanics and is intended for undergraduate and beginning graduate students of science and engineering. There is enough material in the book for at least two courses. No previous knowledge of the subject is assumed, and much of the text is suitable in a first source on the subject.
After an introductory chapter, the second chapter of the book explains the fundamentals of Cartesian tensors. The next three chapters deal with standard and introductory material on kinematics, conservation laws, and vorticity dynamics. Most of the material here is suitable for presentation to geophysicists as well as engineers.
In much of the rest of the book the teacher is expected to select topics that are suitable for his or her particular audience. Chapter 6 discusses irrotational flow; chapter 7 discusses gravity waves in homogeneous and stratified fluids; the emphasis is on linear analysis, although brief discussions of nonlinear effects such as hydraulic jump, Stokes’ drift, and soliton are given.
After a discussion of dynamic similarity in chapter 8, the study of viscous flow starts with chapter 9, which discusses laminar flow. The material is standard, but the concept and analysis of similarity solutions are explained in detail. In chapter 10 on boundary layers, the central idea has been introduced intuitively at first. Only after a thorough physical discussion has the boundary layer been explained as a singular perturbation problem. Instability of flows is discussed at some length in chapter 11. The emphasis is on linear analysis, but some discussion of “chaos” is given in order to point out how deterministic nonlinear systems can lead to irregular solutions. Fully developed three- dimensional turbulence is discussed in chapter 12. In addition to standard engineering topics such as wall-bounded shear flows, the theory of turbulent dispersion of particles is discussed because of its geophysical importance.
The remaining three chapters deal with more specialized applications in geophysics and engineering. Chapter 13 on geophysical fluid dynamics emphasizes the linear analysis of certain geophysically important wave systems. Chapter 14 on aerodynamics emphasizes the application of potential theory to flow around lift-generating profiles; an elementary discussion of finite-wing theory is also given. Chapter 15 on compressible flow contains standard topics, available in most engineering texts.
Some problems in the basic chapters are worked out in the text, in order to illustrate the application of the basic principles. The appendices contain conversion factors, properties of water and air, equations in curvilinear coordinates, and short bibliographical sketches of founders of modern fluid dynamics.

MSC:
76-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to fluid mechanics
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