51³Ô¹ÏÍø

Flows with trapped vortices

Overview

Wings of the modern aircraft are thin and streamlined thus ensuring maximum aerodynamic efficiency. From structural viewpoint a thick wing would be more efficient in carrying the load. The tendency of increasing aircraft size shifts the weight of the design balance towards structural considerations. As a result, improving aerodynamics of thick wings is essential for further progress in aviation.

 [A sketch of separated flow past a thick airfoil]  [A sketch of a flow past an airfoil with a cavity trapping a vortex]

Fig.1. A sketch of separated flow past a thick airfoil and a sketch of a flow past an airfoil with a cavity trapping a vortex.

Trapping vortices is a technology for preventing vortex shedding and reducing drag in flows past bluff bodies. Large vortices forming in high-speed flows past bluff bodies tend to be shed downstream, with new vortices forming in their stead. This leads to an increase in drag and unsteady loads on the body, and produces an unsteady wake. If the vortex is kept near the body at all times it is called trapped. Vortices can be trapped in vortex cells as in Figure 1.

 [A photograph of EKIP in flight]

Fig.2. In EKIP large-scale separation was prevented by trapped vortices. EKIP, built in 1980th in Russia, became known as a flying saucer in the West. How flying saucers could be observed before 1980th remains a mystery ☺. (Photo from S.Chernyshenko's archive, the author is not known, but many similar materials are available at .)

Prior to the final experiment of VortexCell2050 (FP6 project, 2005-2009) there had been only two reportedly successful implementations of the idea of trapped vortex, namely, the Kasper wing and the EKIP (Ecology and Progress) aircraft (Figure 2). Attempts to reproduce Kasper's results in a wind tunnel did not confirm Kasper's claims. The stories of the Kasper wing and EKIP are complicated, controversial, and involve much wider issues than trapped vortices. More can be found on the Web.

 [A sketch of a feedback-control system for a trapped vortex]

Fig.3. A sketch of a feedback-control system for a trapped vortex

Stabilising the trapped-vortex flow is a challenge. Future work would aim at feedback control of such a flow, as illustrated in Fugure 3.

VortexCell2050 outcomes:

  • A software tool for designing a flow past a thick airfoil with a trapped vortex assuming that this flow is stable, apart from small-scale turbulence, was developed.
  • A methodology and software tools for designing a system of stabilisation of such a flow were developed.
  • An airfoil with a trapped vortex and a stabilisation system for the High-Altitude Long Endurance aircraft was designed, built, tested and its performance was estimated.

More information:

  • S.I.Chernyshenko. VortexCell2050. Specific Targeted Research Project "Fundamentals of actively controlled flows with trapped vortices".

Timeline:

  • Will be in Lille 11-12 December 2025. On 12th, will give a talk at (Note the non-standard time, 2pm!).
  • Attended and gave a plenary talk at , Aligarh (U.P), India, 20-23 December 2024.
  • Attended the at the , Germany 28 July - 2 August 2024.
  • Gave a talk on at the .
  • Gave a talk on Bounding time averages: a road to solving the problem of turbulence at Institut de Mathématiques de Bordeaux, Bordeaux, May 4, 2023.
  • Gave a talk on at Institut Pprime, Bordeaux on May 3, 2023.
  • Talk at Department of Engineering, University of Cambridge, 4 November 2022, as part of the CUED Fluids seminar series, video: Joint work with Owen Tutty and Hanying Yang.
  • On August 15, 2022, gave (online) an invited talk "On the path to solving the problem of turbulence" at the
  • On July 22, 2022, gave (online) a talk "Bounds for time averages: towards solving the problem of turbulence" at the
  • In January-April 2022 was a long-term participant of the . Gave two talks: and .
  • Gave a talk Auxiliary functionals: a path to solving the problem of turbulence at on March 4, 2021. Links to and .
  • Gave a talk on at IPAM, Wednesday, January 13, 2021, as part of the workshop on Transport and Mixing in Complex and Turbulent Flows. Great talks, all recorded, highly recommended.
  • Gave a talk Accelerating time averaging at 73rd Annual Meeting of the APS Division of Fluid Dynamics, November 22, 2020: and video.
  • 2020: the virus ... living online ... most of the year working on additional administration and teaching related to the pandemic ...
  • Gave a talk at , Snowbird, Utah, U.S, May 19 - 23, 2019.
  • Gave a keynote lecture at the workshop , The Fields Institute, Toronto, April 15-18, 2019.
  • Gave a talk at 26-29 March 2019, Haus der Kirche, Bad Herrenalb, Germany.
  • Gave a seminar talk on Accelerating time averaging using auxiliary functions at the Aerodynamics and Flight Mechanics group seminar, University of Southampton, on 6 February 2019
  • Visited the in September 13-30, 2018.
  • Attended , London, August 29-31, 2018, with a talk Large-scale motions for the QSQH theory (with Chi Zhang).
  • Gave a talk on Questions concerning quasi-steady mechanism of the Reynolds number, pressure gradient, and geometry effect on drag reduction at the Aachen, Germany, 15-16 March 2018.
  • Gave a lecture course , with Giovanni Fantuzzi providing exercise sessions, at
  •  

    Sergei Chernyshenko