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

Chang, M.H.; Chen, C.K.
August 2002
Acta Mechanica;2002, Vol. 156 Issue 3/4, p131
Academic Journal
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;.


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