Perturbation Methods in Fluid Mechanics by Milton D. Van Dyke

Product Description

Techniques for treating regular and singular perturbations are illustrated by application to problems of fluid motion. In particular, the method of matched asymptotic expansions is applied to the aerodynamics of airfoils and wings, and to viscous flow at high and low Reynolds numbers. Other topics include the methods of strained coordinates and of multiple scales, and the improvement of series.
Product Details
Amazon Sales Rank: #735244 in Books
Published on: 1975-06-15
Binding: Hardcover
271 pages
Editorial Reviews

Review
Long established as one of the most useful references available in the area of regular and singular perturbation techniques. --F. B. Sleator, Mathematical Reviews

Review
This is a book which should be in the possession of all graduate students in engineering and applied mathematics embarking on research in fluid mechanics --B. A. Woods, Aeronautical Journal

Review
It is hard to imagine any fluid dynamicist or for that matter any scientist using asymptotic methods who has not used Milton Van Dyke's book at some time. Althouth other fine books on similar and related topies have appeared since publication of "Perturbation Methods" in 1964, Van Dyke's treatment remains unique and useful. --L. Sirovich, Quarterly of Applied Mathematics
Customer Reviews

An excellent introduction to a powerful analysis tool.
Dr. Van Dyke presents a good discussion of the role of perturbation methods to fluid mechanics. Topics include an overview of perturbation methods (matched asympotic expansions, successive approximations, strained coordinates, etc.) as well a broad range of applications ranging from low speed viscous (Stokes) flows to hypersonic flows. I found this book far more approachable than other perturbation texts (e.g., Kevorkian & Cole). And, like his renowned "Album of Fluid Motion," the price has been kept low. It should be on the shelf of any serious fluid dynamicist.