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The neutral curve for stationary disturbances in rotating-disk flow. (English) Zbl 0587.76184

The neutral curve for stationary vortex disturbances in rotating-disk flow is computed up to a Reynolds number of \(10^ 7\) using the sixth- order system of linear stability equations which includes the effects of streamline curvature and Coriolis force. It is found that the neutral curve has two minima. At large Reynolds numbers, the upper branch tends to Stuart’s asymptotic solution [see: N. Gregory, J. T. Stuart and W. S. Walker, Philos. Trans. R. Soc. Lond., A 248, 155- 199 (1955; Zbl 0064.436)] while the lower branch tends to a solution that is associated with the wave angle corresponding to the direction of zero mean wall shear.

MSC:

76U05 General theory of rotating fluids
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
76M99 Basic methods in fluid mechanics

Citations:

Zbl 0064.436
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References:

[1] DOI: 10.1007/BF00860579
[2] Cochran, Proc. Comb. Phil. Soc. 30 pp 365– (1934)
[3] Cebeci, AIAA J. 18 pp 1485– (1980)
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[11] Gregory, Phil. Trans. R. Soc. Lond. 248 pp 155– (1955)
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