Spectral solutions for three-dimensional triple-deck flow over surface topography

Duck, Peter W.; Burggraf, O. R.

doi:10.1017/s0022112086001891

Cited by 43 publications

(30 citation statements)

References 15 publications

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“…It transpired that the measurements do not seem to be consistent with either model, but they maybe of interest to others. The disturbance flow field in a boundary layer created by a shallow bump (whether of fixed height or oscillating) on the boundary has been studied using triple deck theory by a number of authors; for example, Smith (1982) and references contained therein and Duck and Burggraf (1986), Typically these authors report the wall pressure and shear stress distributions caused by these disturbances. As far as we know there are no predictions or experimental measurements of the velocity field created such a static bump or one oscillating at a very low frequency.…”

Section: Icase Fluid Mechanicsmentioning

confidence: 99%

The velocity field created by a shallow bump in a boundary layer

1994

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The results of measurements of the disturbance velocity field generated in a boundary layer by a shallow three-dimensional bump oscillating at a very low frequency on the surface of a flat plate are reported. The disturbance was entirely confined to the boundary layer. Profiles of the mean velocity, the disturbance velocity at the fundamental frequency, and at the first harmonic are presented. These profiles were measured both upstream and downstream of the oscillating bump. About 100 boundary layer thicknesses downstream of the bump the intensity had a maximum near η=2, with a magnitude of about 0.2%. Measurements of the disturbance velocity were also made at various spanwise and downstream locations at a fixed distance from the boundary of one displacement thickness. The spanwise profiles of the disturbance field changed dramatically from the near-field region of the bump to the far downstream region. Finally, the spanwise spectrum of the disturbances at three locations downstream of the bump are presented. The spanwise spectrum of the disturbance showed a primary peak consistent with the motion and geometry of the driver. This peak decreased slowly with downstream distance. In addition, a small secondary peak in the spanwise spectrum was apparent near the bump. This peak increased rapidly with downstream distance.

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Section: Icase Fluid Mechanicsmentioning

confidence: 99%

The velocity field created by a shallow bump in a boundary layer

1994

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“…The resulting triple deck structure is rather novel in that it is a hybrid between the fully interactive and compensation regimes which seems to be somewhat different from what previously appeared in the literature (e.g. Bogolepov & Lipatov, 1985;Duck & Burggraf, 1986;Bogolepov, 1987;Bogolepov, 1988). Its numerical solution is discussed in subsection 4.2.…”

Section: Introductionmentioning

confidence: 86%

“…The numerical scheme for treating (4.5) (4.6) was an adaptation of the spectral method of Duck & Burggraf (1986). Differentiating (4.6) with respect to Y and invoking the continuity equation so that the hat and script variables are zero in the case of undisturbed flow and satisfy the transverse boundary conditions…”

Section: The Numerical Solutionmentioning

confidence: 99%

Nonlinear wakes behind a row of elongated roughness elements

et al. 2016

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This paper is concerned with the high Reynolds number flow over a spanwise periodic array of roughness elements with inter element spacing of the order of the local boundary layer thickness. While earlier work by Goldstein, Sescu, Duck and Choudhari (2010) and Goldstein, Sescu, Duck and Choudhari (2011) was mainly concerned with smaller roughness heights that produced relatively weak distortions of the downstream flow, the focus here is on extending the analysis to larger roughness heights and streamwise elongated planform shapes that together produce a qualitatively different, nonlinear behavior of the downstream wakes. The roughness scale flow now has a novel triple deck structure that is somewhat different from related studies that have previously appeared in the literature. The resulting flow is formally nonlinear in the intermediate wake region, where the streamwise distance is large compared to the roughness dimensions but small compared to the downstream distance from the leading edge, as well as in the far wake region where the streamwise length scale is of the order of the downstream distance from the leading edge. In contrast, the flow perturbations in both of these wake regions were strictly linear in the earlier work by Goldstein et al (2010Goldstein et al ( , 2011. This is an important difference because the nonlinear wake flow in the present case provides an appropriate basic state for studying the secondary instability and eventual breakdown into turbulence. _______________________________________________________________

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“…To this end, a pseudo-spectral method, cf. Canuto et al [9], Duck & Burggraf [10], Gottlieb & Orszag [11], Biringen & Kao [12], is used that requires much less memory resources than other numerical techniques (e.g. finite difference schemes), which is of crucial importance for the study of three-dimensional flows.…”

Section: Boundary Layer Separationmentioning

confidence: 99%