Effect of Leading Edge on Sound Receptivity

Saric, William S.; Wei, Wei; Rasmussen, Brenda K.

doi:10.1007/978-3-642-79765-1_49

Cited by 17 publications

(44 citation statements)

References 8 publications

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“…Numerical work by Murdock (1981) for a parabola in a flow with a parallel acoustic wave also showed a decrease in receptivity as the nose radius was increased. The computations of Lin et al (1992) were for parallel acoustic waves incident on half-ellipse leading edges connected to a flat plate and for super-ellipse leading edges (which avoid the discontinuity in curvature), geometries chosen to match the experiments of Saric et al (1994). For both these geometries there are regions of adverse pressure gradient near the leading edge, as well as the possibility of additional localised receptivity mechanisms (Goldstein, 1985); hence no direct comparisons can be made with the present results.…”

Section: Resultsmentioning

confidence: 99%

Boundary-layer receptivity for a parabolic leading edge

Hammerton

Kerschen

1996

J. Fluid Mech.

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The effect of the nose radius of a body on boundary-layer receptivity is analyzed for the case of a symmetric mean flow past a body with a parabolic leading edge. Asymptotic methods based on large Reynolds number are used, supplemented by numerical results. The Mach number is assumed small, and acoustic free-stream disturbances are considered. The case of free-stream acoustic waves, propagating obliquely to the symmetric mean flow is considered. The body nose radius, r n , enters the theory through a Strouhal number, S = ωr n /U , where ω is the frequency of the acoustic wave and U is the mean flow speed. The finite nose radius dramatically reduces the receptivity level compared to that for a flat plate, the amplitude of the instability waves in the boundary layer being decreased by an order of magnitude when S = 0.3. Oblique acoustic waves produce much higher receptivity levels than acoustic waves propagating parallel to the body chord.

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Section: Resultsmentioning

confidence: 99%

Boundary-layer receptivity for a parabolic leading edge

Hammerton

Kerschen

1996

J. Fluid Mech.

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“…When considering a boundary layer over the smooth surface, it is observed that the presence of free stream sound gives rise to unstable waves due to rapid changes in the flow near the leading edge and around non-uniformities of the boundary conditions [1][2][3], [4][5][6][7][8][9]. When a roughness element is placed on the surface, it generates additional regions with strong local changes of the flow which in tum are generators of unstable waves [10][11].…”

Section: Introductionmentioning

confidence: 99%

Laminar Boundary-Layer, Sound Receptivity and Control

Kosorygin

Radeztsky

Saric

1995

Laminar-Turbulent Transition

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SummaryThe receptivity of a laminar boundary layer on a flat plate is experimentally studied in the presence of 2-D roughness and freestream sound. The work is carried out in the ASU Unsteady Wind Tunnel. It is shown that the T-S wave amplitude can be less than that of the smooth-surface case downstream from the roughness due to a superposition of unstable waves. Thus, receptivity studies of localized sources must consider constructive-destructive interference.

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“…Saric & Rasmussen (1992) conducted experiments on a flat plate with an elliptical leading edge stuck onto it, but it was noted that the discontinuity in curvature, at the join, produced another region of receptivity. Saric et al (1995) eliminated this problem by using an elliptic leading edge machine drilled onto a flat plate, called a Modified Super Ellipse (MSE), to eliminate any discontinuity, and further experiments were carried out by Saric & White (1998). Fuciarelli et al (1998) and Wanderley & Corke (2001) both computed their respective numerical calculations for the MSE in order to compare their results with those of Saric & White.…”

Section: Comparison With Previous Numerical Studiesmentioning

confidence: 99%

“…Experimental results on leading-edge receptivity are summarised by Saric & Rasmussen (1992), and Saric et al (1995). Saric & White (1998) considered receptivity on a modified super ellipse (MSE) due to free-stream sound.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic receptivity analysis and the parabolized stability equation: a combined approach to boundary layer transition

Turner

Hammerton

2006

J. Fluid Mech.

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We consider the interaction of free-stream disturbances with the leading edge of a body and its effect on the transition point. We present a method which combines an asymptotic receptivity approach, and a numerical method which marches through the Orr-Sommerfeld region. The asymptotic receptivity analysis produces a three deck eigensolution which in its far downstream limiting form, produces an upstream boundary condition for our numerical Parabolized Stability Equation (PSE). We discuss the advantages of this method against existing numerical and asymptotic analysis and present results which justifies this method for the case of a semi-infinite flat plate, where asymptotic results exist in the Orr-Sommerfeld region. We also discuss the limitations of the PSE and comment on the validity of the upstream boundary conditions. Good agreement is found between the present results and the numerical results of Haddad & Corke (1998).

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Effect of Leading Edge on Sound Receptivity

Cited by 17 publications

References 8 publications

Boundary-layer receptivity for a parabolic leading edge

Boundary-layer receptivity for a parabolic leading edge

Laminar Boundary-Layer, Sound Receptivity and Control

Asymptotic receptivity analysis and the parabolized stability equation: a combined approach to boundary layer transition

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