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Flow, Turbulence and Combustion

, Volume 103, Issue 3, pp 827–844 | Cite as

Integral Quantities of Axisymmetric Synthetic Jets Evaluated from a Direct Jet Thrust Measurement

  • J. KordíkEmail author
  • Z. Trávníček
Article

Abstract

This paper proposes a relatively simple and user-friendly experimental method for evaluating synthetic jet (SJ) characteristic velocity and fluxes of time-mean momentum and kinetic energy. The proposed method is based on the direct measurement of the SJ thrust by means of precision scales. The measurements were performed over a large range of Reynolds and Stokes numbers. The Reynolds number was between 1600 and 7100, and the Stokes number was between 15.4 and 202. To correlate the obtained results, hot-wire measurements of the velocity profiles were used and spatial-temporal integration of the hot-wire data was performed. To obtain the integral quantities, the correlations between the thrust and hot-wire results were used. Despite the relative simplicity of the proposed method, it yielded a very good evaluation of the characteristic velocity and fluxes of time-mean momentum and kinetic energy. The study was mostly focused on SJs with moderate and high stroke lengths (larger than five diameters of the orifice). The experimental data were within ±3.4% of the proposed correlation. For small stroke lengths (i.e. below five orifice diameters), the maximum deviation was within ±5.4%.

Keywords

Synthetic jet Synthetic jet actuator Momentum flux Jet thrust 

Nomenclature

D

Diameter, m

e

Electrical voltage, V

E

Kinetic energy flux, W

f

Driving frequency, Hz

g

Magnitude of the gravitational acceleration, m/s2

i

Electrical current, A

HWA

Hot wire anemometer

L

Length, m

M

Momentum flux, N

m

Mass, kg

p

Pressure, Pa

P

Input power, W

Re

Reynolds number, 1

S

Stokes number, 1

T

Time period, s

t

Time, s

U

Velocity, m/s

ρ

Density, kg/m3

Subscripts

0

Averaging in time and space

b

Barometric

c

Cavity

d

Diaphragm

e

Electrical

E

Extrusion stroke

hw

Hot-wire

n

Orifice

m

Related to momentum flux

sc

Precision scales

Superscripts

*

Dimensionless

Notes

Acknowledgments

We gratefully acknowledge the support of Grant Agency CR (project number 16-16596S) and the institutional support (RVO:61388998).

Funding

This study was funded by Grant Agency CR (grant number 16-16596S) and from institutional support (project number RVO:61388998).

Compliance with Ethical Standards

Conflict of Interest

The authors declare that they have no conflict of interest.

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Copyright information

© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Institute of Thermomechanics of the Czech Academy of SciencesPragueCzech Republic

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