Large Eddy Simulation Study of Synthetic Jet Frequency
and Amplitude Effects on a Rounded Step Separated Flow
P.-Y. Pamart
1
, J. Dandois
2
and E. Garnier
3
ONERA, Meudon, France, 92190
and
P. Sagaut
4
Université Pierre et Marie Curie, Paris, France, 75252 Paris Cedex 5
Numerical simulations of active separation control by means of synthetic jet are carried
out to study the forcing frequency and amplitude effects on the flow. The chosen test case is a
rounded ramp at a Reynolds number based on the step height of Reh = 30192. The incoming
flow is fully turbulent with Re
θ
= 1350 at the separation point. The whole flow in the synthetic
jet cavity is computed to ensure an accurate description of the actuator effect on the flow-field.
Through 21 LES simulations, it is shown that the optimal frequency is relative to the
considered objective. In the present case, no frequency simultaneously improves every
evaluated criterion. The effect of amplitude seems to be independent of the frequency one.
I. Introduction
Separated flows occur in a variety of engineering applications and has generally a negative impact on performance.
Recently, numerous attempts have been made to control turbulent separated flows in order to improve the aerodynamic
performance. Among all the available actuators for flow control, synthetic jets appear to be promising since they have
been proven to effectively control separation (Seifert et al. [24]), enhance mixing (Chen et al. [3]) and vector thrust
(Smith & Glezer [26]). The advantage of synthetic jets over steady blowing or suction is that they need less
momentum by one or two orders of magnitude to produce equivalent effects (Seifert et al. [24]). They also do not
require complex plumbing system because the momentum expulsion is only due to the periodic motion of a diaphragm
or a piston on the lower wall of a cavity.
Among all synthetic jet actuation parameters (frequency, amplitude, position, injection angle, ...), the forcing
frequency is one of the most sensitive. It depends on the flow and if not well chosen, actuation can have no effect or
worse, a deleterious impact on the separated flow. The jet amplitude needs also to be chosen appropriately in order to
satisfy synthetic jet formation criterion and contribute significantly to the forcing efficiency. Frequency and amplitude
are the two parameters on which we focus on in this study.
Active separation control over ramps or backward-facing steps have been studied experimentally and numerically
by many authors. Bhattacharjee et al. [2], Chun & Sung [4], Yoshioka et al. [30,31], Wengle et al. [29] and Dejoan &
Leschziner [10], have reported a reduction of the recirculation length by about 30 % for an optimal Strouhal number
Sth ≈ 0.2. This frequency does not correspond to the low frequency “flapping” of the shear layer ( Sth = 0.02, see
Chun & Sung [4]) but rather to the mixing layer shedding mode. This is what we call the low frequency forcing
strategy F
=fL
sep
/ U
∞
=O 1 . Chun & Sung [5] have found a higher optimal forcing Strouhal number Sth = 0.477
and attribute this discrepancy to the low Reynolds number of their experiment. Liu et al. [16] have also found a
slightly higher optimal Strouhal number Sth ≈ 0.275. Neumann & Wengle [19] have performed a large-eddy
simulation on separated control over a rounded step. They have also noticed an optimal Strouhal number Sth ≈ 0.2.
1
Ph.D. Student, Applied Aerodynamic Department, 8 rue des Vertugadins, pierre-yves.pamart@onera.fr.
2
Research Engineer, Applied Aerodynamic Department, 8 rue des Vertugadins, julien.dandois@onera.fr.
3
Research Engineer, Applied Aerodynamic Department, 8 rue des Vertugadins, eric.garnier@onera.fr.
4
Professor, Institut Jean Le Rond d'Alembert, Boîte 162, 4 Place Jussieu; also Consulting Scientist, CFD and
Aeroacoustics Department, ONERA, 92322 Châtillon Cedex, France.
American Institute of Aeronautics and Astronautics
1
5th Flow Control Conference
28 June - 1 July 2010, Chicago, Illinois
AIAA 2010-5086
Copyright © 2010 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.