1973
DOI: 10.1017/s0022112073001114
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Pressure distributions on circular cylinders at critical Reynolds numbers

Abstract: It has been conjectured for many years that plane Couette flow is stable to infinitesimal disturbances although this has never been proved. In this paper we use a, combination of asymptotic analysis and numerical computation to examine the associated Orr-Sommerfeld differential problem in a systematic manner. We obtain new evidence that the conjecture is, in all probability, correct. In particular we find that, a t afixed large value of the Reynolds number R, as in an experiment, if a disturbance of wavenumber… Show more

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Cited by 149 publications
(54 citation statements)
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“…The sensitivity of the drag crisis 11 to geometrical defects is then evidenced since the scenario of reattachments is now quite different. Drastic changes after a rotation of the cylinder was also reported by Batham 28 . The interesting feature in our case is the appearance of a simultaneous reattachment on both sides of the cylinder (two bubbles transition) around Re = 3.6 × 10 5 as observed in Fig.…”
Section: B Geometry and Pressure Measurementssupporting
confidence: 66%
“…The sensitivity of the drag crisis 11 to geometrical defects is then evidenced since the scenario of reattachments is now quite different. Drastic changes after a rotation of the cylinder was also reported by Batham 28 . The interesting feature in our case is the appearance of a simultaneous reattachment on both sides of the cylinder (two bubbles transition) around Re = 3.6 × 10 5 as observed in Fig.…”
Section: B Geometry and Pressure Measurementssupporting
confidence: 66%
“…2a. The calculation agrees well with the measurements of Batham [37]. Figure 2b shows the vorticity magnitude distribution on the cylinder, in which the maximum vorticity magnitude occurs at around 60…”
Section: Validation Of the Methodssupporting
confidence: 85%
“…In the attached flow region, the pressure fluctuation nearly vanishes. The peak value occurs around the mean separation location, which is related to the fluctuating displacement of instantaneous separation (Batham 1973;Shvets 1983). The pressure fluctuation obviously exists in the base region of the cylinder.…”
Section: Pressure and Friction On The Surfacementioning
confidence: 99%