Rita Meyer-Spasche

Pattern Formation in Viscous Flows (eBook, PDF)

The Taylor-Couette Problem and Rayleigh-Bénard Convection

• Format: PDF

Produktbeschreibung

The Taylor-Couette system is one of the most studied examples of fluid flow exhibiting the spontaneous formation of dynamical structures. In this book, the variety of time independent solutions with periodic spatial structure is numerically investigated by solution of the Navier-Stokes equations.

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Produktdetails

• Verlag: Springer Basel
• Seitenzahl: 212
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783034887090
• Artikelnr.: 53104908

Inhaltsangabe

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.