By Tom Mullin, Doug Satchwell, Yorinobu Toya (auth.), Christoph Egbers, Gerd Pfister (eds.)
This ebook is dedicated to contemporary advancements within the box of rotating fluids, specifically the research of Taylor--Couette stream, round Couette move, planar Couette stream, in addition to rotating annulus circulation. in addition to a accomplished review of the present cutting-edge, attainable destiny instructions during this study box are investigated. the 1st a part of this quantity provides a number of new leads to the classical Taylor--Couette procedure masking various theoretical, experimental and numerical paintings on bifurcation conception, effect of boundary stipulations, counter-rotating flows, spiral vortices and so forth. the second one half specializes in round Couette flows, together with isothermal flows, thermal convective movement, in addition to magnetohydrodynamics in round shells. the rest components are dedicated to Goertler vortices, rotating annulus flows, in addition to superfluid Couette flows. the current e-book could be of curiosity to all researchers and graduate scholars operating actively within the field.
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Extra info for Physics of Rotating Fluids: Selected Topics of the 11th International Couette-Taylor Workshop Held at Bremen, Germany, 20–23 July 1999
Example text
The numerical problem is such that all of the symmetry-breaking bifurcations are perfect, and therefore on perfectly symmetric boundary conditions there is no possibility of distinguishing between asymmetric solution branches. One practical point here is that it is possible to step on to an asymmetric solution branch by perturbing the pitchfork bifurcation so that all solutions become slightly asymmetric. It is then possible to step along the connected solution branch through the point at which the pitchfork occurs in the symmetric case.
9. 6. 48 A. Schulz and G. Pfister mode, which is an oscillation of the outward flow while the inward flow remains almost stationary, the antijet mode, which has its strongest oscillation in the inward flow, the core mode, oscillations of the vortex core and a wavy mode, an oscillation of the entire vortex. Gerdts et al. [11] explored the stability diagram for the onset of time dependence for the normal four- to 16-vortex flow. They normalized the aspect ratio Γ by the number of Taylor cells N in the cylinder.
A numerical and experimental study of the Taylor problem with asymmetric end conditions, 6th Int. Symp. on Finite Element Method in flow problems, June 16-20, Antibes, France, (1986) 8. : Numerical methods for the Navier– Stokes equations. Application to the simulation of compressible and incompressible flows. Computer Physics Report 6, 73–188 (1987) 9. : B´enard Cells and Taylor Vortices; Cambridge University Press, Cambridge, England (1993) 10. : Pattern Formation in Viscous Flow ; International Series of Numerical Mathematics, volume [128], Birkh¨ auser Verlag (1999) 11.