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.

Viscous flow is treated usually in the frame of boundary-layer theory and as two-dimensional flow. Books on boundary layers give at most the describing equations for three-dimensional boundary layers, and solutions often only for some special cases. This book provides basic principles and theoretical foundations regarding three-dimensional attached viscous flow. Emphasis is put on general three-dimensional attached viscous flows and not on three-dimensional boundary layers. This wider scope is necessary in view of the theoretical and practical problems to be mastered in practice. The topics are weak, strong, and global interaction, the locality principle, properties of three-dimensional viscous flow, thermal surface effects, characteristic properties, wall compatibility conditions, connections between inviscid and viscous flow, flow topology, quasi-one- and two-dimensional flows, laminar-turbulent transition and turbulence. Though the primary flight speed range is that of civil air transport vehicles, flows past other flying vehicles up to hypersonic speeds are also considered. Emphasis is put on general three-dimensional attached viscous flows and not on three-dimensional boundary layers, as this wider scope is necessary in view of the theoretical and practical problems that have to be overcome in practice. The specific topics covered include weak, strong, and global interaction; the locality principle; properties of three-dimensional viscous flows; thermal surface effects; characteristic properties; wall compatibility conditions; connections between inviscid and viscous flows; flow topology; quasi-one- and two-dimensional flows; laminar-turbulent transition; and turbulence. Detailed discussions of examples illustrate these topics and the relevant phenomena encountered in three-dimensional viscous flows. The full governing equations, reference-temperature relations for qualitative considerations and estimations of flow properties, and coordinates for fuselages and wings are also provided. Sample problems with solutions allow readers to test their understanding.

Since the inaugural symposium at the Pennsylvania State University in 1977, the venues for the series of biennial symposia on turbulent shear flows have alternated between the USA and Europe. For the Sixth Symposium, the first to be held in France, the city of Toulouse proved a natura] choice, being a centre for the aerospace industry, meteorological research and higher education. The meeting was hosted by the Paul Sabatier University on the southern perimeter of the city, and there nearly 300 workers in the field of turbulence converged to pronounce upon, debate and absorb the current issues in turbulent shear flows and to enjoy the unfailing September sunshine. The meeting had attracted more than 200 offers of papers from which just over 100 full papers and about 20 shorter communications in open forums could be accommodated. The present volume contains 28 of the original symposium presentations selected by the editors. Each contribution has been revised by its authors - sometimes quite extensively -in the light of the oral presentation. It is our hope that the selection provides a substantial statement of permanent interest on current research in the five areas covered by this book, i.e. fundamentals and closures, scalar transport and geophysical flows, aerodynamic flows, complex flows, and numerical simulations.

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.

Viscous flow is treated usually in the frame of boundary-layer theory and as two-dimensional flow. Books on boundary layers give at most the describing equations for three-dimensional boundary layers, and solutions often only for some special cases.

This book provides basic principles and theoretical foundations regarding three-dimensional attached viscous flow. Emphasis is put on general three-dimensional attached viscous flows and not on three-dimensional boundary layers. This wider scope is necessary in view of the theoretical and practical problems to be mastered in practice.

The topics are weak, strong, and global interaction, the locality principle, properties of three-dimensional viscous flow, thermal surface effects, characteristic properties, wall compatibility conditions, connections between inviscid and viscous flow, flow topology, quasi-one- and two-dimensional flows, laminar-turbulent transition and turbulence.

Though the primary flight speed range is that of civil air transport vehicles, flows past other flying vehicles up to hypersonic speeds are also considered. Emphasis is put on general three-dimensional attached viscous flows and not on three-dimensional boundary layers, as this wider scope is necessary in view of the theoretical and practical problems that have to be overcome in practice.

The specific topics covered include weak, strong, and global interaction; the locality principle; properties of three-dimensional viscous flows; thermal surface effects; characteristic properties; wall compatibility conditions; connections between inviscid and viscous flows; flow topology; quasi-one- and two-dimensional flows; laminar-turbulent transition; and turbulence. Detailed discussions of examples illustrate these topics and the relevant phenomena encountered in three-dimensional viscous flows. The full governing equations, reference-temperature relations for qualitative considerations and estimations of flow properties, and coordinates for fuselages and wings are also provided. Sample problems with solutions allow readers to test their understanding.

Le but du livre est de donner aux enseignants et aux etudiants (a partir de Bac+4) en mathematiques appliquees et en mecanique des fluides un outil d'enseignement et d'apprentissage illustre par cinquante problemes accompagnes de leur correction detaillee. Ce livre presente une nouvelle methode d'analyse asymptotique pour des problemes de "couche limite." Celle-ci est appelee MASC "Methode des Approximations Successives Complementaires." La premiere moitie du livre est consacree, outre la presentation de la MASC, a ordonner les connaissances necessaires a l'analyse asymptotique et a donner les cles permettant la comprehension de ce qu'est un probleme dit de "couche limite" et des methodes permettant de construire une approximation. La seconde partie est consacree a l'application de la MASC en mecanique des fluides et a la comparaison avec les methodes plus traditionnelles issues de la celebre MDAR, "Methode des Developpements Asymptotiques Raccordes."

The 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. This part gives also the keys to understand a boundary layer problem and of the methods to construct an approximation.
The second part is devoted to SCEM and its applications in fluid mechanics. The advantages of SCEM are discussed in comparison with the standard method of matched asymptotic expansions.