Receptivity coefficients at excitation of cross-flow waves by free-stream vortices in the presence of surface roughness

Бородулин, В. И.; Ivanov, A. V.; Kachanov, Y. S.; Roschektaev, A. P.

doi:10.1017/jfm.2012.555

Cited by 29 publications

(84 citation statements)

References 52 publications

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“…Similarly, some experimental studies indicate an initial linear growth rate of the flow perturbation, for example Borodoulin et al [12], whilst others have observed a quadratic relationship in the 'linear' region (Kurian et al [13]). Note that a key difference between these experiments is that one used a swept--wing while the other used a swept flat plate.…”

Section: Introductionmentioning

confidence: 89%

Simulation of Receptivity and Induced Transition From Discrete Roughness Elements

Mistry

Page

McGuirk

2015

Flow Turbulence Combust

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The WALE sub--grid stress (SGS) model was adopted for application to transitional flows, since it allows the SGS viscosity to vanish in laminar regions and in the innermost region of the boundary layer when transition begins. Simulations were carried out for two spanwise wavelengths: λ = 12mm (critical) and λ = 6mm (control), and for roughness heights (k) from 12µm to 42µm. The base flow considered was an ASU (67)--0315 aerofoil with 45 0 sweep at --2.9 0 incidence and with onset flow at a chord--based Reynolds number Re c = 2.4x10 6 . For λ = 12mm results showed, in accord with the experimental data, that the disturbance amplitude growth rate was linear for k = 12µm and 24µm, but the growth rate was decreased for k = 36µm. Receptivity to λ = 6mm roughness showed equally good agreement with experiments, indicating that this mode disappeared after a short distance to be replaced by a critical wavelength mode. Analysis of the development of modal disturbance amplitudes with downstream distance showed regions of linear, non--linear, saturation, and secondary instability behaviour. Examination of breakdown to turbulence revealed two possible routes: the first was 2D--like transition (probably Tollmien--Schlichting waves even in the presence of crossflow vortices) when transition occurred beyond the pressure minimum; the second was a classical crossflow vortex secondary instability, leading to the formation of a turbulent wedge.

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Section: Introductionmentioning

confidence: 89%

Simulation of Receptivity and Induced Transition From Discrete Roughness Elements

Mistry

Page

McGuirk

2015

Flow Turbulence Combust

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“…As indicated by Borodulin et al (2013), almost all investigations related to unsteady vortex receptivity of boundary layers performed after the early experiments were theoretical ones until the end of the 1990s. For distributed roughness receptivity, considering a weak waviness, Zavol'skii, Reutov & Rybushkina (1983) theoretically investigated the problem of resonant scattering of a periodical vortex street on a wall, based on the framework of a locally parallel theory.…”

Section: Motivation Behind the Study Of Steps In Boundary Layersmentioning

confidence: 99%

“…Based on asymptotic theory, Goldstein (1983Goldstein ( , 1985, Ruban (1985) and Wu (2001a) carried out the studies for acoustic receptivity and Kerschen (1990), Goldstein & Leib (1993), Choudhari (1994) and Wu (2001a,b) for localised and distributed boundary layer receptivity. A detailed review work was done in the introduction of Borodulin et al (2013).…”

Section: Motivation Behind the Study Of Steps In Boundary Layersmentioning

confidence: 99%

“…Brehm et al (2011) investigated the impact of 2D distributed roughness on the laminar-turbulent transition process, and found that the roughness spacing has a drastic effect on the growth of disturbances. Borodulin et al (2013) discussed the influence of distributed mechanisms on amplification of instability modes. As indicated by Brehm et al (2011), for isolated roughness some basic understanding of the physical mechanisms promoting transition has been obtained, but the relevant physical mechanisms driving the transition process in the presence of distributed roughness are not well understood.…”

Section: Motivation Behind the Study Of Steps In Boundary Layersmentioning

confidence: 99%

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Influence of localised smooth steps on the instability of a boundary layer

Lombard

Sherwin

2017

J. Fluid Mech.

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We consider a smooth, spanwise-uniform forward-facing step defined by a Gauss error function of height 4 %-30 % and four times the width of the local boundary layer thickness δ 99 . The boundary layer flow over a smooth forward-facing stepped plate is studied with particular emphasis on stabilisation and destabilisation of the twodimensional Tollmien-Schlichting (TS) waves and subsequently on three-dimensional disturbances at transition. The interaction between TS waves at a range of frequencies and a base flow over a single or two forward-facing smooth steps is conducted by linear analysis. The results indicate that for a TS wave with a frequency F ∈ [140, 160] (F = ων/U 2 ∞ × 10 6 , where ω and U ∞ denote the perturbation angle frequency and free-stream velocity magnitude, respectively, and ν denotes kinematic viscosity), the amplitude of the TS wave is attenuated in the unstable regime of the neutral stability curve corresponding to a flat plate boundary layer. Furthermore, it is observed that two smooth forward-facing steps lead to a more acute reduction of the amplitude of the TS wave. When the height of a step is increased to more than 20 % of the local boundary layer thickness for a fixed width parameter, the TS wave is amplified, and thereby a destabilisation effect is introduced. Therefore, the stabilisation or destabilisation effect of a smooth step is typically dependent on its shape parameters. To validate the results of the linear stability analysis, where a TS wave is damped by the forward-facing smooth steps direct numerical simulation (DNS) is performed. The results of the DNS correlate favourably with the linear analysis and show that for the investigated frequency of the TS wave, the K-type transition process is altered whereas the onset of the H-type transition is delayed. The results of the DNS suggest that for the perturbation with the non-dimensional frequency parameter F = 150 and in the absence of other external perturbations, two forward-facing smooth steps of height 5 % and 12 % of the boundary layer thickness delayed the H-type transition scenario and completely suppressed for the K-type transition. By considering Gaussian white noise with both fixed and random phase shifts, it is demonstrated by DNS that transition is postponed in time and space by two forward-facing smooth steps.

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“…Boundary layer receptivity problems have also been extensively analysed experimentally (see for example Kachanov et al 1979;Saric & White 1998;Dietz 1999;Borodulin et al 2013) and numerically (see for example Fucciarelli et al 2000;Wanderley & Corke 2001;Jones et al 2010;Tempelmann et al 2012). The main challenge of the experimental investigations is the measurement of the receptivity coefficients, since the initial amplitudes of the boundary layer instabilities may be orders of magnitude smaller than the amplitude of the surrounding disturbance environment.…”

Section: Introductionmentioning

confidence: 99%

A numerical evaluation of the asymptotic theory of receptivity for subsonic compressible boundary layers

Tullio

Ruban

2015

J. Fluid Mech.

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The capabilities of the triple-deck theory of receptivity for subsonic compressible boundary layers have been thoroughly investigated through comparisons with numerical simulations of the compressible Navier-Stokes equations. The analysis focused on the two Tollmien-Schlichting wave linear receptivity problems arising due to the interaction between a low amplitude acoustic wave and a small isolated roughness element and the low amplitude, time-periodic vibrations of a ribbon placed on the wall of a flat plate. A parametric study was carried out to look at the effects of roughness element and vibrating ribbon longitudinal dimensions, Reynolds number, Mach number and TollmienSchlichting wave frequency. The flat plate is considered isothermal, with a temperature equal to the laminar adiabatic-wall temperature. Numerical simulations of the full and the linearised compressible Navier-Stokes equations have been carried out using highorder finite differences to obtain, respectively, the steady basic flows and the unsteady disturbance fields for the different flow configurations analysed. The results show that the asymptotic theory and the Navier-Stokes simulations are in good agreement. The initial Tollmien-Schlichting wave amplitudes and, in particular, the trends indicated by the theory across the whole parameter space are in excellent agreement with the numerical results. An important finding of the present study is that the behaviour of the theoretical solutions obtained for Re → ∞ holds at finite Reynolds numbers and the only conditions needed for the theoretical predictions to be accurate are that the receptivity process be linear and the free stream Mach number be subsonic.

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Receptivity coefficients at excitation of cross-flow waves by free-stream vortices in the presence of surface roughness

Cited by 29 publications

References 52 publications

Simulation of Receptivity and Induced Transition From Discrete Roughness Elements

Simulation of Receptivity and Induced Transition From Discrete Roughness Elements

Influence of localised smooth steps on the instability of a boundary layer

A numerical evaluation of the asymptotic theory of receptivity for subsonic compressible boundary layers

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