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This book presents a new method of asymptotic analysis of boundary-layer problems, the Successive Complementary Expansion Method (SCEM). The first part is devoted to a general presentation of the tools of asymptotic analysis. It gives the keys to understand a boundary-layer problem and explains the methods to construct an approximation. The second part is devoted to SCEM and its applications in fluid mechanics, including external and internal flows.
Introduction
Introduction to Singular Perturbation Problems
Boundary Layer Structure
Asymptotic Expansions
Successive Complementary Expansion Method
Ordinary Differential Equations
High Reynolds Number Flows
Interactive Boundary Layer
Applications of Interactive Boundary Layer Models
Regular Forms of Interactive Boundary Layer
Turbulent Boundary Layer
Channel Flow
Conclusion
Appendices