Ebook: Asymptotic Analysis and Boundary Layers

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 comprehensive 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. The advantages of SCEM are discussed in comparison with the standard Method of Matched Asymptotic Expansions. In particular, for the first time, the theory of Interactive Boundary Layer is fully justified.
With its chapter summaries, detailed derivations of results, discussed examples and fully worked out problems and solutions, the book is self-contained. It is written on a mathematical level accessible to graduate and post-graduate students of engineering and physics with a good knowledge in fluid mechanics. Researchers and practitioners will esteem it as a valuable monograph in their field of work.

Asymptotic Analysis and Boundary Layers is an extended English edition of Analyse asymptotique et couche limite published in the Springer series Mathématiques et Applications.

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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 comprehensive 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. The advantages of SCEM are discussed in comparison with the standard Method of Matched Asymptotic Expansions. In particular, for the first time, the theory of Interactive Boundary Layer is fully justified.
With its chapter summaries, detailed derivations of results, discussed examples and fully worked out problems and solutions, the book is self-contained. It is written on a mathematical level accessible to graduate and post-graduate students of engineering and physics with a good knowledge in fluid mechanics. Researchers and practitioners will esteem it as a valuable monograph in their field of work.

Asymptotic Analysis and Boundary Layers is an extended English edition of Analyse asymptotique et couche limite published in the Springer series Math?matiques et Applications.

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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 comprehensive 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. The advantages of SCEM are discussed in comparison with the standard Method of Matched Asymptotic Expansions. In particular, for the first time, the theory of Interactive Boundary Layer is fully justified.
With its chapter summaries, detailed derivations of results, discussed examples and fully worked out problems and solutions, the book is self-contained. It is written on a mathematical level accessible to graduate and post-graduate students of engineering and physics with a good knowledge in fluid mechanics. Researchers and practitioners will esteem it as a valuable monograph in their field of work.

Asymptotic Analysis and Boundary Layers is an extended English edition of Analyse asymptotique et couche limite published in the Springer series Math?matiques et Applications.

Content:
Front Matter....Pages I-XVII
Introduction....Pages 1-6
Introduction to Singular Perturbation Problems....Pages 7-29
Boundary Layer Structure....Pages 31-42
Asymptotic Expansions....Pages 43-57
Successive Complementary Expansion Method....Pages 59-98
Ordinary Differential Equations....Pages 99-131
High Reynolds Number Flows....Pages 133-167
Interactive Boundary Layer....Pages 169-183
Applications of Interactive Boundary Layer Models....Pages 185-213
Regular Forms of Interactive Boundary Layer....Pages 215-235
Turbulent Boundary Layer....Pages 237-265
Channel Flow....Pages 267-299
Conclusion....Pages 301-302
Back Matter....Pages 303-434

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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 comprehensive 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. The advantages of SCEM are discussed in comparison with the standard Method of Matched Asymptotic Expansions. In particular, for the first time, the theory of Interactive Boundary Layer is fully justified.
With its chapter summaries, detailed derivations of results, discussed examples and fully worked out problems and solutions, the book is self-contained. It is written on a mathematical level accessible to graduate and post-graduate students of engineering and physics with a good knowledge in fluid mechanics. Researchers and practitioners will esteem it as a valuable monograph in their field of work.

Asymptotic Analysis and Boundary Layers is an extended English edition of Analyse asymptotique et couche limite published in the Springer series Math?matiques et Applications.

Content:
Front Matter....Pages I-XVII
Introduction....Pages 1-6
Introduction to Singular Perturbation Problems....Pages 7-29
Boundary Layer Structure....Pages 31-42
Asymptotic Expansions....Pages 43-57
Successive Complementary Expansion Method....Pages 59-98
Ordinary Differential Equations....Pages 99-131
High Reynolds Number Flows....Pages 133-167
Interactive Boundary Layer....Pages 169-183
Applications of Interactive Boundary Layer Models....Pages 185-213
Regular Forms of Interactive Boundary Layer....Pages 215-235
Turbulent Boundary Layer....Pages 237-265
Channel Flow....Pages 267-299
Conclusion....Pages 301-302
Back Matter....Pages 303-434
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