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

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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%.

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Abbreviations

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

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

*:

Dimensionless

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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).

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Authors and Affiliations

  1. Institute of Thermomechanics of the Czech Academy of Sciences, Dolejškova 5, 182 00, Prague, Czech Republic

    J. Kordík & Z. Trávníček

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  1. J. Kordík
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  2. Z. Trávníček
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Correspondence to J. Kordík.

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Kordík, J., Trávníček, Z. Integral Quantities of Axisymmetric Synthetic Jets Evaluated from a Direct Jet Thrust Measurement. Flow Turbulence Combust 103, 827–844 (2019). https://doi.org/10.1007/s10494-019-00042-y

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  • DOI: https://doi.org/10.1007/s10494-019-00042-y

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