Original scientific paper
The stability of Taylor vortex flow between a rotating wavy inner cylinder and a stationary circular outer cylinder
Chin-Hwa Kong
; Dept. of Naval Architecture and Ocean Engineering, National Taiwan University, Taipei, TAIWAN, R.O.C
Chi-Kuo Lee
; College Entrance Examination Center, Taipei, TAIWAN, R.O.C
Chi-Min Liu
; Dept. of Naval Architecture and Ocean Engineering, National Taiwan University, Taipei, TAIWAN, R.O.C
Abstract
Studies on the stability problem when a viscous incompressible fluid is filled into two circular concentric cylinders are usually conducted using the following boundary conditions: the outer cylinder remains stationary, and the inner cylinder rotates with constant angular speed. In this paper, we will apply these same boundary conditions to solve the stability problem, but with a wavy inner cylinder. The main purpose of the present research is to find the effects of the asymmetric inner cylinder on the centrifugal stability problem using of the principle of analogy and superposition, which is obtained from the effort of former researchers in time-dependent Couette flow. The result shows that the critical Taylor number and critical axial wavelength are inversely proportional to the numbers of the peaks of inner cylinder, and the difference between critical Taylor numbers for inner cylinders of different peaks increases when their peak height increases.
Keywords
Hrčak ID:
318803
URI
Publication date:
12.12.2001.
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