TITLE

The stability of the narrow-gap Taylor-Couette system with an axial flow

AUTHOR(S)
Chang, M.H.; Chen, C.K.
PUB. DATE
August 2002
SOURCE
Acta Mechanica;2002, Vol. 156 Issue 3/4, p131
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The stability of viscous flow between concentric rotating cylinders with an axial flow due to an axial pressure gradient is considered. The governing equations with respect to three-dimensional disturbances are derived and solved by a direct numerical procedure. Results are given for the case of small-gap approximation. Three typical cases &b.mu; = -1, 0 and 0.5 are studied, where &b.mu; represents the fatio of angular velocity of the outer cylinder to that of the inner cylinder. The value of the axial Reynolds number R is up to 100. It is found that the critical disturbance is a non-axisymmetric mode when the value of R is sufficiently large, and the transition of the onset mode with R is demonstrated in detail. Results for the critical Taylor number, wave number, vortex incline angle, and relative wave velocity are also determined. The present stability analysis is found to be in agreement with previous experimental studies and particularly reveals the stability characteristics with the variation of &b.mu;.
ACCESSION #
7592457

 

Related Articles

  • Nonmixing vortex cores in wavy Taylor vortex flow. Rudman, Murray; Metcalfe, Guy; Graham, Lachlan J. W. // Physics of Fluids;Jun2008, Vol. 20 Issue 6, p063602 

    When the symmetry of axisymmetric Taylor vortex flow is broken, time-periodic wavy vortex flow (WVF) appears and quite quickly becomes globally chaotic (in the Lagrangian sense) with increasing Reynolds number. Previously published simulations of WVF suggest that beyond a certain Re, nonmixing...

  • Multiple localized states in centrifugally stable rotating flow. Abshagen, J.; Heise, M.; Pfister, G.; Mullin, T. // Physics of Fluids;Feb2010, Vol. 22 Issue 2, p021702 

    We report experimental and numerical results from investigations into the onset of novel localized cellular states in the centrifugally stable regime of Taylor–Couette flow at sufficiently high rates of counter-rotation of the outer cylinder. Quantitative comparison is made between...

  • Angular-momentum conservative smoothed particle dynamics for incompressible viscous flows. Hu, X. Y.; Adams, N. A. // Physics of Fluids;Oct2006, Vol. 18 Issue 10, p101702 

    Current smoothed particle dynamics discretizations for macroscopic and mesoscopic viscous flows usually do not conserve angular momentum. Angular-momentum conservation, however, potentially stabilizes the solution for long-time simulations. We show that a simple angular-momentum conservative...

  • Taylor vortices in annular spherical flow at large aspect ratios. Loukopoulos, Vassilios C.; Karahalios, George T. // Physics of Fluids;Jul2004, Vol. 16 Issue 7, p2708 

    Motivated by recent theoretical and experimental work, we numerically investigate spherical Couette flow with a view to obtaining for the first time Taylor vortices at large aspect ratios σ such as 0.38, 0.42, and 0.48. It is found that Taylor vortices can exist, stable or time-dependent, in...

  • Quantitative investigation of the transition process in Taylor-Couette flow. Tu, Xin; Liu, Dong; Kim, Hyoung-Bum // Journal of Mechanical Science & Technology;Feb2013, Vol. 27 Issue 2, p407 

    The transition process from circular Couette flow to Taylor vortex flow regime was experimentally investigated by measuring the instantaneous velocity vector fields at the annular gap flow region between two concentric cylinders. The proper orthogonal decomposition method, vorticity calculation,...

  • Drifting vortices in ramped Taylor vortex flow: Quantitative results from phase equation. Paap, Hans-Georg; Riecke, Hermann // Physics of Fluids A;Jun91, Vol. 3 Issue 6, p1519 

    The phase equation approach for the description of patterns in a spatially varying environment is tested for realistic setups. To this end the phase equation for axisymmetric Taylor vortex flow with spatially varying cylinder radii (spatial ramps) is derived and solved for various geometries...

  • Vortex pair annihilation in Taylor wavy-vortex flow. Crawford, Gerald L.; Park, Kwangjai; Donnelly, Russell J. // Physics of Fluids (00319171);Jan85, Vol. 28 Issue 1, p7 

    We have made precision measurements of the vortex pair size and wavy mode amplitude of vortices in wavy Taylor–Couette vortex flow. These results are compared to a model advanced by Park and Crawford to account for expulsion of vortex pairs as the Reynolds number is increased in the...

  • Experiments with deceleration from a Taylor-vortex flow. Squire, T. H.; Jankowski, D. F.; Neitzel, G. P. // Physics of Fluids (00319171);Aug86, Vol. 29 Issue 8, p2742 

    The behavior of a Taylor-vortex structure during a constant deceleration has been studied experimentally. As expected, the results show a return to circular Couette flow at an instantaneous Reynolds number below the steady critical value.

  • Two-phase Couette–Taylor flow: Arrangement of the dispersed phase and effects on the flow structures. Djeridi, H.; Gabillet, C.; Billard, J.Y. // Physics of Fluids;Jan2004, Vol. 16 Issue 1, p128 

    This study investigates the mutual interactions between a continuous and a dispersed phase (noncondensable or condensable) in the well-known Couette–Taylor flow between two concentric cylinders at low Reynolds numbers, where the outer cylinder is immobilized. In this experiment, the...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics