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Field name	Details
Dewey Class	531
Title	Pattern Formation in Viscous Flows ([EBook] :) : The Taylor-Couette Problem and Rayleigh-Bénard Convection / / by Rita Meyer-Spasche.
Author	Meyer-Spasche, Rita
Other name(s)	SpringerLink (Online service)
Publication	Basel : : Birkhäuser Basel : : Imprint: Birkhäuser, , 1999.
Physical Details	XI, 212 p. 58 illus. : online resource.
Series	ISNM International Series of Numerical Mathematics ; 128
ISBN	9783034887090
Summary Note	It seems doubtful whether we can expect to understand fully the instability of fluid flow without obtaining a mathematical representa tion of the motion of a fluid in some particular case in which instability can actually be ob served, so that a detailed comparison can be made between the results of analysis and those of experiment. - G.l. Taylor (1923) Though the equations of fluid dynamics are quite complicated, there are configurations which allow simple flow patterns as stationary solutions (e.g. flows between parallel plates or between rotating cylinders). These flow patterns can be obtained only in certain parameter regimes. For parameter values not in these regimes they cannot be obtained, mainly for two different reasons: • The mathematical existence of the solutions is parameter dependent; or • the solutions exist mathematically, but they are not stable. For finding stable steady states, two steps are required: the steady states have to be found and their stability has to be determined.:
Contents note	1 The Taylor Experiment -- 1.1 Modeling of the Experiment -- 1.2 Flows between Rotating Cylinders -- 1.3 Stability of Couette Flow -- 2 Details of a Numerical Method -- 2.1 Introduction -- 2.2 The Discretized System -- 2.3 Computation of Solutions -- 2.4 Computation of flow Parameters -- 2.5 Numerical Accuracy -- 3 Stationary Taylor Vortex Flows -- 3.1 Introduction -- 3.2 Computations with Fixed Period ? ? 2 -- 3.3 Variation of Flows with Period ? -- 3.4 Interactions of Secondary Branches -- 3.5 Re = 2 Recr and the (n, pn) Double Points -- 3.6 Stability of the Stationary Vortices -- 4 Secondary Bifurcations on Convection Rolls -- 4.1 Introduction -- 4.2 The Rayleigh-Bénard Problem -- 4.3 Stationary Convection Rolls -- 4.4 The (2,4) Interaction in a Model Problem -- 4.5 The (2,6) Interaction in a Model Problem -- 4.6 Generalisations and Consequences.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-0348-8709-0
Links to Related Works	Subject References: Classical Continuum Physics . Continuum physics . Mathematical Modeling and Industrial Mathematics . Mathematical models . Physics . Physics, general . Authors: Meyer-Spasche, Rita . Corporate Authors: SpringerLink (Online service) . Series: ISNM International Series of Numerical Mathematics . Classification: 531 .

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Pattern Formation in Viscous Flows: The Taylor-Couette Problem and Rayleigh-Bénard Convection /

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