Zeytounian R.Kh. Asymptotic Modelling of Fluid Flow Phenomena

Kluwer Academic Publishers, New York, Boston, Dordrecht, London, Moscow, 2002. XVIII, 550 p. — ISBN: 0-306-48386-6 (eBook), ISBN: 1-4020-0432-X (Print). — (Fluid Mechanics and Its Applications. Volume 64).This is the first book devoted entirely to asymptotic modelling of fluid flow phenomena and deals with the art of the asymptotic modelling of Newtonian laminar fluid flows. This asymptotic modelling consists of deriving fluid flow model problems in such a way that they become amenable to mathematical analysis and to numerical simulations. The main goal of the text is modelling and not the presentation of solutions.
One may assume that for some time to come the further expansion of the capabilities of numerical simulations will depend on, or will at least be related to, the development of asymptotic modelling. The book includes the basic aspects, recent developments, and the current issues important to the asymptotic modelling of fluid flow phenomena.Preface and Acknowledgments.
Introductory Comments and Summary.Setting the Scene.Newtonian Fluid Flow: Equations and Conditions.
Some Basic Aspects of Asymptotic Analysis and Modelling.
Useful Limiting Forms of the NS-F Equations.Main Asymptotic Models.The Navier-Fourier Viscous Incompressible Model.
The Inviscid/Nonviscous Euler Model and Some Hydro-Aerodynamics Problems.
Boundary-Layer Models for High-Reynolds Numbers.
Some Models of Nonlinear Acoustics.
Low-Reynolds Numbers asymptotics.Three Specific Asymptotic Models.Asymptotic Modelling of Thermal Convection and Interfacial Phenomena.
Meteo-Fluid-Dynamics Models.
Singular Coupling and the Triple-Deck Model.