High Reynolds number thick axisymmetric turbulent boundary layer measurements

Cipolla, Kimberly; Keith, William L.

doi:10.1007/s00348-003-0706-x

Cited by 19 publications

(20 citation statements)

References 15 publications

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“…They present results for four flow speeds from 3.1 to 14.4 m s −1 . An unexpected result is that there are fluctuations in the drag rather than a decrease with length (this was also reported in Cippola & Keith (2003a) where similar results with fewer data points are presented). No explanation of this effect was given.…”

Section: Resultssupporting

confidence: 70%

“…There is little difference between the values obtained from (2.9) using the mean value of the experimental results and those plotted by Furey et al (2004) obtained using the distribution of wall shear stress as a function of x. Also, Cippola & Keith (2003a) plotted the estimated values of the momentum thickness nondimensionalized by ν/û τ against the momentum thickness Reynolds number, and noted that the apparent linear relationship could only be obtained ifû τ was constant.…”

Section: Resultsmentioning

confidence: 75%

“…As can be seen from figure 10, the results from the numerical solution support this. Cippola & Keith (2003a) and Furey et al (2004) used (2.9) with the experimental drag values to estimate the variation in momentum thickness with length of the cylinder. There is little difference between the values obtained from (2.9) using the mean value of the experimental results and those plotted by Furey et al (2004) obtained using the distribution of wall shear stress as a function of x.…”

Section: Resultsmentioning

confidence: 99%

“…A series of experiments has been performed in a large towing tank (approximately 900 m in length) using thin cylinders aligned with the flow, with diameters of order 1 mm and lengths of order 100 m (Cippola & Keith 2003a;Furey, Cippola & Atsavappranee 2004) at relatively low Reynolds numbers (Re of O(10 3 − 10 4 )). A primary measurement in this work is the mean drag on the cylinders as a function of cylinder length, obtained by a direct measurement of the force on the body for cylinders of different lengths.…”

Section: Introductionmentioning

confidence: 99%

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Flow along a long thin cylinder

Tutty

2008

J. Fluid Mech.

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Two different approaches have been used to calculate turbulent flow along a long thin cylinder where the flow is aligned with the cylinder. A boundary-layer code is used to predict the mean flow for very long cylinders (length to radius ratio of up to O(10 6 )), with the effects of the turbulence estimated through a turbulence model. Detailed comparison with experimental results shows that the mean properties of the flow are predicted within experimental accuracy. The boundary-layer model predicts that, sufficiently far downstream, the surface shear stress will be (almost) constant. This is consistent with experimental results from long cylinders in the form of sonar arrays. A periodic Navier-Stokes problem is formulated, and solutions generated for Reynolds number from 300 to 5 × 10 4 . The results are in agreement with those from the boundary-layer model and experiments. Strongly turbulent flow occurs only near the surface of the cylinder, with relatively weak turbulence over most of the boundary layer. For a thick boundary layer with the boundary-layer thickness much larger than the cylinder radius, the mean flow is effectively constant near the surface, in both temporal and spatial frameworks, while the outer flow continues to develop in time or space. Calculations of the circumferentially averaged surface pressure spectrum show that, in physical terms, as the radius of the cylinder decreases, the surface noise from the turbulence increases, with the maximum noise at a Reynolds number of O(10 3 ). An increase in noise with a decrease in radius (Reynolds number) is consistent with experimental results.

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Section: Resultssupporting

confidence: 70%

Section: Resultsmentioning

confidence: 75%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Flow along a long thin cylinder

Tutty

2008

J. Fluid Mech.

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“…The flow has many industrial and medical applications especially when extended to annular Couette-Poiseuille flow (for details see the introduction of DN11) while the zero pressure gradient state has some relevance to the boundary layer flow along a cylinder (e.g. Tutty 2008 andCipolla &Keith 2003): see section 6 of Gittler (1993). Despite these important applications, experimental investigations of annular flow with a sliding inner core can only found in Shands et al (1980) and Frei et al (2000).…”

Section: Introductionmentioning

confidence: 99%

Axisymmetric travelling waves in annular sliding Couette flow at finite and asymptotically large Reynolds number

Deguchi

Walton

2013

J. Fluid Mech.

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The relationship between numerical finite-amplitude equilibrium solutions of the full Navier-Stokes equations and nonlinear solutions arising from a high Reynolds number asymptotic analysis is discussed for a Tollmien-Schlichting wave type two-dimensional vortical flow structure. The specific flow chosen for this purpose is that which arises from the mutual axial sliding of co-axial cylinders for which nonlinear axisymmetric travellingwave solutions have been discovered recently by Deguchi & Nagata (J. Fluid Mech., vol. 678, 2011, pp. 156-178). We continue this solution branch to a Reynolds number R = 10 8 and confirm that the behaviour of its so-called lower branch solutions, which typically produce a smaller modification to the laminar state than the other solution branches, quantitatively agrees with the axisymmetric asymptotic theory developed in this paper. We further find that this asymptotic structure breaks down when the disturbance wavelength is comparable with R. The new structure which replaces it is investigated and the governing equations are derived and solved. The flow visualization of the resultant solutions reveals that they possess a streamwise localized structure, with the trend agreeing qualitatively with full Navier-Stokes solutions for relatively long wavelength disturbances.

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