Asymptotic Modelling of Fluid Flow Phenomena by Radyadour Kh. ZeytounianAsymptotic Modelling of Fluid Flow Phenomena by Radyadour Kh. Zeytounian

Asymptotic Modelling of Fluid Flow Phenomena

byRadyadour Kh. Zeytounian

Paperback | October 28, 2010

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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.
Title:Asymptotic Modelling of Fluid Flow PhenomenaFormat:PaperbackDimensions:568 pages, 9.25 × 6.1 × 0 inPublished:October 28, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048159393

ISBN - 13:9789048159390

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Table of Contents

Preface and Acknowledgments. 1. Introductory Comments and Summary. Part I: Setting the Scene. 2. Newtonian Fluid Flow: Equations and Conditions. 3. Some Basic Aspects of Asymptotic Analysis and Modelling. 4. Useful Limiting Forms of the NS-F Equations. Part II: Main Asymptotic Models. 5. The Navier-Fourier Viscous Incompressible Model. 6. The Inviscid/Nonviscous Euler Model and Some Hydro-Aerodynamics Problems. 7. Boundary-Layer Models for High-Reynolds Numbers. 8. Some Models of Nonlinear Acoustics. 9. Low-Reynolds Numbers asymptotics. Part III: Three Specific Asymptotic Models. 10. Asymptotic Modelling of Thermal Convection and Interfacial Phenomena. 11. Meteo-Fluid-Dynamics Models. 12. Singular Coupling and the Triple-Deck Model. References.

Editorial Reviews

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)