Hostname: page-component-76fb5796d-vfjqv Total loading time: 0 Render date: 2024-04-26T22:42:17.682Z Has data issue: false hasContentIssue false
  • English
  • Français

Distributed vortex receptivity of a swept-wing boundary layer. Part 2. Receptivity characteristics

Published online by Cambridge University Press:  04 December 2020

V. I. Borodulin Open the ORCID record for V. I. Borodulin [Opens in a new window] ,
A. V. Ivanov ,
Y. S. Kachanov Open the ORCID record for Y. S. Kachanov [Opens in a new window]  and
A. P. Roschektayev
V. I. Borodulin
Affiliation:
Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Institutskaya str. 4/1, Novosibirsk630090, Russia
A. V. Ivanov
Affiliation:
Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Institutskaya str. 4/1, Novosibirsk630090, Russia
Y. S. Kachanov*
Affiliation:
Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Institutskaya str. 4/1, Novosibirsk630090, Russia
A. P. Roschektayev
Affiliation:
Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Institutskaya str. 4/1, Novosibirsk630090, Russia
*
†Email address for correspondence: kachanov@itam.nsc.ru
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper is devoted to an experimental investigation of the distributed receptivity of a laminar swept-wing boundary layer to unsteady freestream vortices with streamwise orientation of the vorticity vector. The experiments were performed on a model of a swept wing with a sweep angle of $25^{\circ }$ at fully controlled disturbance conditions with freestream vortices generated by a special disturbance source. It is found that the unsteady streamwise vortices are able to provide very efficient excitation of cross-flow instability modes without requiring the presence of any surface non-uniformities. The developed experimental approach is shown to allow us to perform a detailed quantitative investigation of the mechanism of distributed excitation of unsteady boundary-layer disturbances due to scattering of freestream vortices on natural base-flow non-uniformity. This mechanism has been studied experimentally in detail. Part 1 of the present investigation (Borodulin et al., J. Fluid Mech., vol. 908, 2021, A14) was devoted to the description of the experimental approach and the base-flow structure, the method of excitation of fully controlled streamwise-elongated freestream vortices, the results of measurements of structure of these vortices and the experimental evidence of high efficiency of the distributed vortex receptivity mechanism under study. Meanwhile, the present paper (Part 2) is devoted to: (a) theoretical background and definition of the distributed receptivity coefficients and (b) obtaining experimental quantitative characteristics of the distributed vortex receptivity including values of the corresponding receptivity coefficients for their three different definitions as functions of the disturbance frequency, spanwise wavenumber and wave propagation angle.

JFM classification

Instability: Transition to turbulence
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 908 , 10 February 2021 , A15
Check for updates
Copyright
© The Author(s), 2020. Published by Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Borodulin, V. I., Ivanov, A. V. & Kachanov, Y. S. 2010 a Distributed receptivity of swept-wing boundary layer to streamwise vortices. Part. 1. Experimental approach. In XV International Conference on Methods of Aerophysical Research. Proceedings (ed. V. M. Fomin), pp. 1–10. Institute of Theoretical and Applied Mechanics.Google Scholar
Borodulin, V. I., Ivanov, A. V. & Kachanov, Y. S. 2010 b Distributed receptivity of swept-wing boundary layer to streamwise vortices. Part. 2. Receptivity characteristics. In XV International Conference on Methods of Aerophysical Research. Proceedings (ed. V. M. Fomin), pp. 1–10. Institute of Theoretical and Applied Mechanics.Google Scholar
Borodulin, V. I., Ivanov, A. V., Kachanov, Y. S. & Fedenkova, A. A. 2004 Distributed boundary-layer receptivity to non-stationary vortical disturbances with wall-normal vorticity in the presence of surface roughness. Thermophys. Aeromech. 11 (3), 355–390.Google Scholar
Borodulin, V. I., Ivanov, A. V., Kachanov, Y. S. & Fedenkova, A. A. 2007 Three-dimensional distributed receptivity of a boundary layer to unsteady vortex disturbances. In XIII International Conference on Methods of Aerophysical Research (ICMAR 2007). Proceedings. Part III (ed. V. M. Fomin), pp. 45–50. Parallel.Google Scholar
Borodulin, V. I., Ivanov, A. V., Kachanov, Y. S. & Komarova, V. Y. 2006 Distributed two-dimensional boundary-layer receptivity to non-stationary vortical disturbances in the presence of surface roughness. Thermophys. Aeromech. 13 (2), 183–208.CrossRefGoogle Scholar
Borodulin, V. I., Ivanov, A. V., Kachanov, Y. S. & Roschektayev, A. P. 2013 Receptivity coefficients at excitation of cross-flow waves by free-stream vortices in the presence of surface roughness. J. Fluid Mech. 716, 487–527.Google Scholar
Borodulin, V. I., Ivanov, A. V., Kachanov, Y. S. & Roschektayev, A. P. 2016 Receptivity coefficients at excitation of cross-flow waves due to scattering of free-stream vortices on surface vibrations. J. Fluid Mech. 793, 162–208.Google Scholar
Borodulin, V. I., Ivanov, A. V., Kachanov, Y. S. & Roschektayev, A. P. 2021 Distributed vortex receptivity of swept-wing boundary layer. Part 1. Efficient excitation of CF-modes. J. Fluid Mech. 908, A14.Google Scholar
Gaponenko, V. R., Ivanov, A. V. & Kachanov, Y. S. 1995 a Experimental study of a swept-wing boundary-layer stability with respect to unsteady disturbances. Thermophys. Aeromech. 2 (4), 287–312.Google Scholar
Gaponenko, V. R., Ivanov, A. V. & Kachanov, Y. S. 1995 b Experimental study of cross-flow instability of a swept-wing boundary layer with respect to traveling waves. In Laminar-Turbulent Transition (ed. Kobayashi, R.), pp. 373–380. Springer.Google Scholar
Gaponenko, V. R., Ivanov, A. V., Kachanov, Y. S. & Crouch, J. D. 2002 Swept-wing boundary-layer receptivity to surface non-uniformities. J. Fluid Mech. 461, 93–126.Google Scholar
Kachanov, Y. S., Borodulin, V. I., Ivanov, A. V. & Roschektayev, A. P. 2002 a Distributed receptivity of swept-wing boundary layer to streamwise free-stream vortices. Part 1. Experimental procedure and primary results of measurements. Tech. Rep. Interim Project Report on Agreement No 106 (Exhibit 106I, Part A), June 2002. Institute of Theoretical and Applied Mechanics.Google Scholar
Kachanov, Y. S., Borodulin, V. I., Ivanov, A. V. & Roschektayev, A. P. 2002 b Distributed receptivity of swept-wing boundary layer to streamwise free-stream vortices. Part 2. Structure of vortices and receptivity characteristics. Tech. Rep. Final Project Report on Agreement No 106 (Exhibit 106I, Part A), November 2002. Institute of Theoretical and Applied Mechanics.Google Scholar
Würz, W., Herr, S., Wagner, S. & Kachanov, Y. S. 2002 A first experimental approach to the distributed 3D-vortex receptivity of a boundary layer on an airfoil. In XI International Conference on Methods of Aerophysical Research. Proceedings. Part II, pp. 173–178. Institute of Theoretical and Applied Mechanics.Google Scholar