Experiments in Fluids

, Volume 37, Issue 1, pp 22–28 | Cite as

Forcing a planar jet flow using MEMS

  • Thomas Peacock
  • Elizabeth Bradley
  • Jean Hertzberg
  • Yung-Cheng Lee


We present the results of an experimental study in which a planar laminar jet of air was forced by an array of micro-electromechanical systems (MEMS) micro-actuators. In the absence of forcing, the velocity profile of the experimental jet matched the classic analytic solution. Driving actuators on either side of the jet in-phase or anti-phase, respectively, excited the symmetric or anti-symmetric mode of instability of the jet. Asymmetric forcing, using MEMS actuators on only one side of the jet, was also investigated.

List of symbols

x, y, z

Streamwise, cross-stream, and spanwise coordinates


Streamwise velocity


Exit slit width


Centerline streamwise velocity


Jet half-width


Kinematic viscosity


Reynolds number=U0b/v


Momentum flux


Fluctuating velocity component in x direction


Forcing frequency of MEMS actuators


Dimensionless frequency of velocity fluctuations=fb/U0


  1. Andrade EN da C (1939) The velocity distribution in a liquid-into-liquid jet. Part 2: The plane jet. Proc Phys Soc 51:784–793CrossRefGoogle Scholar
  2. Bickley WG (1937) The plane jet. Phil Mag 23:727–731Google Scholar
  3. Brown GB (1935) On vortex motion in gaseous jets and the origin of their sensitivity to sound. Proc Phys Soc 47:703–731CrossRefGoogle Scholar
  4. Cohen J, Wygnanski I (1987) The evolution of instabilities in the axisymmetric jet, part 1: The linear growth of disturbances near the nozzle. J Fluid Mech 176:191–220Google Scholar
  5. Drazin PG, Reid WH (1981) Hydrodynamic stability. Cambridge University Press, United KingdomGoogle Scholar
  6. Garg VK (1981) Spatial stability of the non-parallel Bickley jet. J Fluid Mech 102:127–140Google Scholar
  7. Ho CM, Huerre P (1984) Perturbed free shear layers. Ann Rev Fluid Mech 16:365–424CrossRefGoogle Scholar
  8. Ho CM, Tai YC (1998) Micro-electro-mechanical-systems (MEMS) and fluid flows. Ann Rev Fluid Mech 30:579–612CrossRefGoogle Scholar
  9. Howard LN (1958) Hydrodynamic stability of a jet. J Math Phys 37:283–304Google Scholar
  10. Huang JM, Hsiao FB (1999) On the mode development in the developing region of a plane jet. Phys Fluids 11(7):1847–1857CrossRefGoogle Scholar
  11. Huerre P, Monkewitz PA (1990) Local and global instabilities in spatially developing flows. Ann Rev Fluid Mech 22:473–537CrossRefGoogle Scholar
  12. Jacobson SA, Reynolds WC (1998) Active control of streamwise vortices and streaks in boundary layers. J Fluid Mech 360:179–211CrossRefGoogle Scholar
  13. LeConte J (1858) On the influence of musical sounds on the flame of a jet of coal gas. Phil Mag 4th series 15:235Google Scholar
  14. Lee YC, Basavanhally B (1994) Solder engineering for optoelectronic packaging. J Metals 46:46–50Google Scholar
  15. Löfdahl L, Gad-el-Hak M (1999) MEMS applications in turbulence and flow control. Prog Aero Sci 35:101–203CrossRefGoogle Scholar
  16. Ma Z, Peacock T, Bradley E, Lee YC (2001) Solder-assembled MEMS flaps to enhance fluid mixing. In: Proceedings of the ASME IMECE (International Mechanical Engineering Congress and Exposition), New York, November 2001Google Scholar
  17. Ma Z, Bradley E, Peacock T, Hertzberg JR, Lee YC (2003) Solder-assembled large MEMS flaps for fluid mixing. IEEE Trans Adv Packag 26:268-276CrossRefGoogle Scholar
  18. Sato H (1960) The stability and transition of a two-dimensional jet. J Fluid Mech 7:53–80Google Scholar
  19. Sato H, Sakao F (1964) An experimental investigation of the instability of a two-dimensional jet at low Reynolds numbers. J Fluid Mech 20:337–352Google Scholar
  20. Schlichting H (1933) Laminare Strauhlausbreitung. ZAMM 8:260–263Google Scholar
  21. Tatsumi T, Kakutani T (1958) The stability of a two-dimensional laminar jet. J Fluid Mech 4:261–75Google Scholar
  22. Wiltse JM, Glezer A (1993) Manipulation of free shear flows using piezoelectric actuators. J Fluid Mech 249:261–285Google Scholar
  23. Wiltse JM, Glezer A (1998) Direct excitation of small scale motions in free shear flows. Phys Fluids 10:2026–2036CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2004

Authors and Affiliations

  • Thomas Peacock
    • 1
  • Elizabeth Bradley
    • 2
  • Jean Hertzberg
    • 2
  • Yung-Cheng Lee
    • 2
  1. 1.Department of Mechanical EngineeringMITCambridgeUSA
  2. 2.University of ColoradoBoulderUSA

Personalised recommendations