Boundary layer on a rotating cylinder in axial flow

Петров, Г. В.

doi:10.1007/bf00852000

Cited by 5 publications

(6 citation statements)

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“…However, that article only gives such profiles for the case of small Z (thin boundary layer) and no explanation is provided. Petrov [7] also gives the maximum axial velocity U max z = max R (U z (R)) as a function of Z. Figure 6 shows a comparison with our results.…”

Section: Resultsmentioning

confidence: 61%

“…The existence of a wall jet at large S is apparent in the axial velocity profiles given by Petrov [7]. However, that article only gives such profiles for the case of small Z (thin boundary layer) and no explanation is provided.…”

Section: Resultsmentioning

confidence: 94%

“…Whereas for lower values of S, boundarylayer thickening leads to positive V r , at large S entrainment by the wall jet gives negative V r outside the layer (figure 4). The existence of a wall jet at large S is apparent in the axial velocity profiles given by Petrov [7]. However, that article only gives such profiles for the case of small Z (thin boundary layer) and no explanation is provided.…”

Section: Resultsmentioning

confidence: 94%

“…Figure 6. Comparison of U maxz as a function of Z 1/2 obtained by the present study with[7] for the case of S = 5 and S = 10.…”

mentioning

confidence: 83%

“…Petrov [7] appears to be the first to have studied the rotating case. Axial velocity profiles were obtained in the limit of small z and show the existence of a wall jet for sufficiently strong rotation, though this interesting feature was not explained in the paper.…”

Section: Introductionmentioning

confidence: 99%

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Flow around a rotating, semi-infinite cylinder in an axial stream

et al. 2016

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This paper concerns steady, high-Reynolds-number flow around a semi-infinite, rotating cylinder placed in an axial stream and uses boundary-layer type of equations which apply even when the boundary-layer thickness is comparable to the cylinder radius, as indeed it is at large enough downstream distances. At large rotation rates, it is found that a wall jet appears over a certain range of downstream locations. This jet strengthens with increasing rotation, but first strengthens then weakens as downstream distance increases, eventually disappearing, so the flow recovers a profile qualitatively similar to a classical boundary layer. The asymptotic solution at large streamwise distances is obtained as an expansion in inverse powers of the logarithm of the distance. It is found that the asymptotic radial and axial velocity components are the same as for a non-rotating cylinder, to all orders in this expansion.

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Section: Resultsmentioning

confidence: 61%

Section: Resultsmentioning

confidence: 94%

Section: Resultsmentioning

confidence: 94%

“…Figure 6. Comparison of U maxz as a function of Z 1/2 obtained by the present study with[7] for the case of S = 5 and S = 10.…”

mentioning

confidence: 83%

Section: Introductionmentioning

confidence: 99%