UID:
almafu_9960119214202883
Umfang:
1 online resource (xvii, 258 pages) :
,
digital, PDF file(s).
Ausgabe:
1st ed.
ISBN:
9780511809064
,
1-316-03799-1
,
0-511-80906-9
Serie:
Cambridge texts in applied mathematics ; 32
Inhalt:
Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce these phenomena at a level suitable for a graduate course, by modelling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized, with many figures, and in references to more still and moving pictures. The relation of chaos to transition is discussed at length. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differential equations, complex variables and the elements of fluid mechanics. The book is aimed at graduate students but will also be very useful for specialists in other fields.
Anmerkung:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
,
The Methods of Hydrodynamic Stability --
,
Further Reading and Looking --
,
Introduction to the Theory of Steady Flows, Their Bifurcations and Instability --
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Bifurcation --
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Instability --
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Stability and the Linearized Problem --
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Kelvin-Helmholtz Instability --
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Basic Flow --
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Physical Description of the Instability --
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Governing Equations for Perturbations --
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The Linearized Problem --
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Surface Gravity Waves --
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Internal Gravity Waves --
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Rayleigh-Taylor Instability --
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Instability Due to Shear --
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Capillary Instability of a Jet --
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Rayleigh's Theory of Capillary Instability of a Liquid Jet --
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Development of Instabilities in Time and Space --
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The Development of Perturbations in Space and Time --
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Weakly Nonlinear Theory --
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The Equation of the Perturbation Energy --
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Rayleigh-Benard Convection --
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Thermal Convection --
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The Linearized Problem --
,
The Stability Characteristics --
,
Nonlinear Convection --
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Centrifugal Instability --
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Swirling Flows --
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Instability of Couette Flow --
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Gortler Instability --
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Stability of Parallel Flows --
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Inviscid Fluid --
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Stability of Plane Parallel Flows of an Inviscid Fluid --
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General Properties of Rayleigh's Stability Problem --
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Stability Characteristics of Some Flows of an Inviscid Fluid --
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Nonlinear Perturbations of a Parallel Flow of an Inviscid Fluid --
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Viscous Fluid --
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Stability of Plane Parallel Flows of a Viscous Fluid --
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Some General Properties of the Orr-Sommerfeld Problem --
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Energy --
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Instability in the inviscid limit --
,
Stability Characteristics of Some Flows of a Viscous Fluid.
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English
Weitere Ausg.:
ISBN 9780521804271
Weitere Ausg.:
ISBN 9780521009652
Weitere Ausg.:
ISBN 0-521-00965-0
Weitere Ausg.:
ISBN 0-521-80427-2
Sprache:
Englisch
URL:
https://doi.org/10.1017/CBO9780511809064
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