Asymptotic Modelling of Fluid Flow Phenomena

From the reviews: "[...]this book has to be highly recommended both to newcomers in fluid mechanics modelling and to confirmed researchers, since most recent results related to asymptotic analysis in this area can be found in this book." (Mathematical Reviews 2003A, 2003) "The author states that the goal of this book is to promote the use of asymptotic methods for developing simplified but rational models for the Navier-Stokes equations which can then be solved numerically to obtain appropriate descriptions of the flow. This is an extremely worthwhile objective because most of the relevant engineering computations are based on relatively adhoc models that are rife with internal inconsistencies. To my knowledge, this is the first book devoted to accomplishing the author's stated objective." (Marvin E. Goldstein, SIAM Review, Vol. 45 (1), 2003)

• Introductory Comments and Summary.- 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 Astmptotic 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.