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This is the second volume in a four-part series on fluid dynamics:
Part 1. Classical Fluid Dynamics
Part 2. Asymptotic Problems of Fluid Dynamics
Part 3. Boundary Layers
Part 4. Hydrodynamic Stability Theory
The series is designed to give a comprehensive and coherent description of fluid dynamics, starting with chapters on classical theory suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field.
In Part 2 the reader is introduced to asymptotic methods, and their...

This is the first book in a four-part series designed to give a comprehensive and coherent description of Fluid Dynamics, starting with chapters on classical theory suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field.
The present Part 1 consists of four chapters. Chapter 1 begins with a discussion of Continuum Hypothesis, which is followed by an introduction to macroscopic functions, the velocity vector, pressure, density, and enthalpy. We then analyse the forces acting inside a...

The notion of the boundary layer was introduced to describe thin viscous layers that form on a rigid body surface in otherwise inviscid flow of a fluid with small viscosity. The book begins with the classical theory of the boundary-layer flows. However, its focus is on recent results of the theory invaluable in describing fluid-dynamics phenomena.

Boundary-layer separation from a rigid body surface is one of the fundamental problems in classical and modern fluid dynamics. This book, a revised translation of the classic Russian edition, takes state-of-the-art triple-deck boundary layer theory to a broad new audience. The authors present this important theory in a unique, systematic account that covers numerical methods for solving the equations of interaction theory and the theory of unsteady separation. The book will serve as a useful introduction to the theory, drawing attention to the new possibilities that application of the...