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 i
Perturbation Methods in Fluid Mechanics
โ Scribed by Milton D. Van Dyke, Milton Van Dyke
- Publisher
- Parabolic Pr
- Year
- 1975
- Tongue
- English
- Leaves
- 143
- Edition
- Annotated ed
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
๐ SIMILAR VOLUMES
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 i