Skip to main content
Log in

The effect of closed-loop feedback control on scalar mixing in a plane shear layer

  • Research Article
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

The effect of feedback on mixing in a plane shear layer was studied using temperature as an analog to species concentration. Mixing was quantified using temperature measurements made by an array of cold-wire sensors. Upstream of the cold-wire sensors, a schlieren imager measured the cross-stream position of the temperature interface between the two streams before the primary vortical structures had formed. Surface heaters mounted on the flow partition were used as control actuators. Feeding the gained output from the interface position sensor back to the surface heaters closed the loop and created resonance and out-of-resonance conditions in the flow, both of which increased mixing. The feedback gains were adaptively modified in real time to maximize mixing at a given streamwise station. Finally, it was found that deliberately introducing streamwise vorticity, and then choosing feedback gains that strengthen these streamwise vortices, can greatly enhance mixing.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22
Fig. 23
Fig. 24
Fig. 25
Fig. 26
Fig. 27
Fig. 28

Similar content being viewed by others

References

  • Dimotakis PE (1989) Turbulent free shear layer mixing. AIAA Paper 89-0262

  • Dimotakis PE (1991) Turbulent free shear layer mixing and combustion. High speed flight propulsion systems. Prog astronaut aeronaut 137(5):265–340

    Google Scholar 

  • DiStefano J, Stubberud A, Williams I (1990) Schaum’s outline of feedback and control systems. McGraw-Hill, NY

    Google Scholar 

  • Doyle J, Francis B, Tannenbaum A (1990) Feedback control theory. Macmillan, NY

    Google Scholar 

  • Ffowcs Williams JE, Möhring W (2000) Control action for stabilizing free shear flows. J Fluid Mech 404:27–46

    Article  MathSciNet  MATH  Google Scholar 

  • Gaster M (1986) A non-linear transfer function description of wave growth in a boundary layer. In: Proceedings of the fourth international conference on boundary and interior layers, July 7–11, 1986, Novosibirsk, USSR, pp 107–114

  • Ho C-M, Huerre P (1984) Perturbed free shear layers. Ann Rev Fluid Mech 16:365–424

    Article  Google Scholar 

  • Huang L-S, Ho C-M (1990) Small-scale transition in a plane mixing layer. J Fluid Mech 210:475–500

    Article  Google Scholar 

  • Ikeda Y (1998) Real-time active flow control based on modern control theory. AIAA Paper 98-2911

  • Katch GJ, Koochesfahani MM (1993) Mixing of species in a two-stream shear layer forced by an oscillating airfoil. AIAA Paper 93-0444

  • Koochesfahani MM, Dimotakis PE (1988) A cancellation experiment in a forced turbulent shear layer. AIAA Paper 88-3713-CP

  • Koochesfahani MM, MacKinnon CG (1991) Influence of forcing on the composition of mixed fluid in a two-stream shear layer. Phys Fluids A3(5):1135–1142

    Google Scholar 

  • Liepmann HW, Nosenchuck DM (1982) Active control of laminar-turbulent transition. J Fluid Mech 118:201–204

    Article  Google Scholar 

  • Liepmann HW, Brown GL, Nosenchuck DM (1982) Control of laminar instability waves using a new technique. J Fluid Mech 118:187–200

    Article  Google Scholar 

  • Monkewitz PA (1989) Feedback control of global oscillations in fluid systems. AIAA Paper 89-0991

  • Nygaard KJ, Glezer A (1991) Evolution of streamwise vortices and generation of small-scale motion in a plane shear layer. J Fluid Mech 231:257–301

    Article  Google Scholar 

  • Oster D, Wygnanski I (1982) The forced mixing layer between parallel streams. J Fluid Mech 123:91–130

    Article  Google Scholar 

  • Pierrehumbert RT, Widnall SE (1982) The two- and three-dimensional instabilities of a spatially periodic shear layer. J Fluid Mech 114:59–82

    Article  MATH  Google Scholar 

  • Reisenthel P (1988) Hybrid instability in an axisymmetric jet with enhanced feedback. Ph.D. dissertation, Illinois Institute of Technology, Chicago

  • Roberts FA, Roshko A (1985) Effects of periodic forcing on mixing in turbulent shear layers and wakes. AIAA Paper 85-0570

  • Wang G-H, Clements NT, Barlow RS, Varghese PL (2007) A system model for assessing scalar dissipation measurement accuracy in turbulent flows. Meas Sci Technol 18:1287–1303

    Article  Google Scholar 

  • Wehrmann OH (1965) Tollmien–Schlichting waves under the influence of a flexible wall. Phys Fluids 8:1389–1390

    Article  Google Scholar 

  • Wehrmann OH (1967) Self-adjusting feedback loop for mechanical systems to influence flow in transition; part I. Document D1-82-0632. Boeing Scientific Research Laboratories

  • Wiltse JM, Glezer A (2004) Scalar mixing in a forced non-reactive plane shear layer using a thermal analogue to species concentration. J Fluid Mech 506:369–406

    Article  MATH  Google Scholar 

  • Wyngaard JC (1971) Spatial resolution of a resistance wire temperature sensor. Phys Fluids 14:2052–2054

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgments

The authors would like to acknowledge several useful discussions with Professor Arne Pearlstein.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to John M. Wiltse.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wiltse, J.M., Glezer, A. The effect of closed-loop feedback control on scalar mixing in a plane shear layer. Exp Fluids 51, 1291–1314 (2011). https://doi.org/10.1007/s00348-011-1139-6

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00348-011-1139-6

Keywords

Navigation