Steady supercritical Taylor vortex flow

Abstract

Experiments studying steady supercritical Taylor vortex flow have been made using pairs of long cylinders with two different radius ratios, three fluids of different viscosities and three different end boundaries for the fluid column. The emphasis in these experiments is on the determination of the wavelength of the Taylor vortices and the size of the end rings. The wavelength which one measures in a finite cylinder differs from the wavelengths found theoretically for infinitely long cylinders. Provided that the end effects were properly taken into account, the wavelength of singly periodic Taylor vortices in an infinitely long cylinder was found to remain constant between TIE = 1 and TIT, w 80 in experiments with radius ratios 7 = 0.505 and 7 = 0.727. Further studies of Taylor vortex flow a t very high Taylor numbers, where the vortices are either doubly periodic or truly turbulent, showed that the wavelength increases under these conditions. However, the observed wavelengths were no longer unique but distributed statistically around a wavelength larger than the critical wavelength.

On the quasiperiodic state in a moderate aspect ratio Taylor–Couette flow

“…As Re is increased further the wave modulation frequency is the first to give way to a broad based frequency component that indicates transition to chaotic vortex flow ͑CVF͒. 11,14 Eventually, the azimuthal wave also disappears and power spectra are characterized only by the broadband frequency component as the flow becomes turbulent, 11,15 although the Taylor vortices may remain present underneath the fluctuations even at Re values of order 10 4 . Despite the increasing turbulence, coherent structures such as Görtler vortices 16 and herringbone streaks 17 have also been observed at high Re values.…”

Stability of Finite-Amplitude Baroclinic Waves in a Two-Layer Channel Flow

“…Thus "finite-amplitude" effects are essential to determine the value of U*. Examples of the latter type (say, type II) are the Benard convection (e.g., Chandrasekhar, 1961;Krishnamurti, 1970a, b), the Taylor vortex (Taylor, 1923;Coles, 1965;Burkhalter and Koschmieder, 1973), the baroclinic instability in a rotating annulus (Hide, 1969;King, 1979), and the barotropic instability in a rotating system ( Hide and Titman, 1967;Yamagata and Kimura, 1973;Kimura, 1976). For this type U* generally coincides with Uc.…”

CFD Simulation of Annular Centrifugal Extractors

“…Similarly, number of vortices also depended upon the startup conditions of experimentation [91]. Burkhalter and Koschmeider [93] carried out experiments to study the end effects on the vortex pattern. They found that the size of the end vortices increases with an increase in Ta, and the number of vortices decreases with an increase in the annular gap.…”