Asymptotic Modelling in Fluid Mechanics

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Beschreibung

The purpose of this book is to gather contributions from scientists in fluid mechanics who use asymptotic methods to cope with difficult problems. The selected topics are as follows: vorticity and turbulence, hydrodynamic instability, non-linear waves, aerodynamics and rarefied gas flows. The last chapter of the book broadens the perspective with an overview of other issues pertaining to asymptotics, presented in a didactic way.

Inhalt
Growing up with asymptotics.- Instabilities and vortex patterns in circular Couette flow with axial density stratification.- Vortices subjected to non-axisymmetric strain unsteady asymptotic evolution.- Some contributions to asymptotic theory for turbulent shear flows.- Turbulent entrance flow in a channel: An asymptotic approach.- An efficient wave interaction mechanism within a turbulent boundary layer.- Bifurcations of capillary-gravity interfacial waves.- The effect of a low-frequency modulation on some codimension 2 bifurcations.- Finite amplitude waves in a boundary layer flow over compliant walls.- Recent developments in the theory of the non-linear stability of high Reynolds number flows.- Weakly non linear instability of the laminar boundary layer calculated by a parabolic system of equations.- Applying a condition of observability to constitutive equations of laminar motion.- Hysteresis and interaction of standing waves with Faraday excitation.- About the radiation diagram of an underwater acoustic source in the presence of gravity waves.- Finite-amplitude, pulsed, ultrasonic beams.- Long-waves on thin viscous liquid film derivation of model equations.- On global existence theorems for the initial-boundary value problem for the Boltzmann equation.- Diffusion approximation and Arnold's Cat Map.- Second order analysis of the inner shock structure.- Transient behaviour of a gaseous cavity attached to a projectile in a two phase flow.- From the analytical theory to hypersonic aircraft design.- Upstream influence in mixed convection at small Richardson number on triple, double and single deck scales.- Asymptotic modelling for separating boundary layers.- Going on with asymptotics.

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Produktinformationen

Titel
Asymptotic Modelling in Fluid Mechanics
Untertitel
Proceedings of a Symposium in Honour of Professor Jean-Pierre Guiraud Held at the Université Pierre et Marie Curie, Paris, France, 20-22 April 1994
Editor
EAN
9783662139981
ISBN
978-3-662-13998-1
Format
Kartonierter Einband
Herausgeber
Springer, Berlin
Genre
Physik & Astronomie
Anzahl Seiten
307
Gewicht
491g
Größe
H234mm x B18mm x T156mm
Jahr
2013
Untertitel
Englisch
Auflage
Softcover reprint of the original 1st ed. 1995
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