Malik, Mujeeb R. The neutral curve for stationary disturbances in rotating-disk flow. (English) Zbl 0587.76184 J. Fluid Mech. 164, 275-287 (1986). 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. Cited in 1 ReviewCited in 53 Documents MSC: 76U05 General theory of rotating fluids 76D10 Boundary-layer theory, separation and reattachment, higher-order effects 76M99 Basic methods in fluid mechanics Keywords:neutral curve for stationary vortex disturbances; rotating-disk flow; sixth-order system of linear stability equations; effects of streamline curvature; Coriolis force; asymptotic solution; zero mean wall shear Citations:Zbl 0064.436 PDFBibTeX XMLCite \textit{M. R. Malik}, J. Fluid Mech. 164, 275--287 (1986; Zbl 0587.76184) Full Text: DOI References: [1] DOI: 10.1007/BF00860579 [2] Cochran, Proc. Comb. Phil. Soc. 30 pp 365– (1934) [3] Cebeci, AIAA J. 18 pp 1485– (1980) [4] DOI: 10.1007/BF01535696 · Zbl 0357.76027 [5] Wilkinson, AIAA paper No. 23 pp 1131– (1983) [6] Malik, AIAA J. 19 pp 1131– (1981) [7] DOI: 10.1137/0138004 · Zbl 0462.76031 [8] DOI: 10.1007/BF00944970 · Zbl 0495.76072 [9] DOI: 10.1007/BF01190058 · Zbl 0425.76029 [10] Kármán, Z. angew. Math. Mech. 1 pp 232– (1921) [11] Gregory, Phil. Trans. R. Soc. Lond. 248 pp 155– (1955) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.