PSI - Issue 72

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ScienceDirect

Procedia Structural Integrity 72 (2025) 77–84

12th Annual Conference of Society for Structural Integrity and Life (DIVK12) Mathematical modeling of the output parameters for a loudspeaker driven synthetic jet actuator Emre Kara a, * a Gaziantep University, Faculty of Aeronautics and Aerospace, Aerospace Engineering Department, Gaziantep, 27310, Türkiye Abstract The principal objective of this study is to establish the correlation between input geometrical parameters (cavity inner diameter, dc, orifice exit diameter, d 0 , cavity height, h c , orifice height, h 0 ) and a range of output parameters, i.e. Reynolds number, Re, Strouhal number, St, Stokes number, S, orifice utilization factor, β 0 , characteristic velocity, V 0 , full stroke length, L 0 , dimensionless stroke length, L, Thrust, T, peak velocity, U p , frictional velocity, U τ , frictional Reynolds number, Re τ , mechanical efficiency, η mech , Overall Figure of Merit, OFM, Synthetic Jet Actuator Efficiency η SJA . These variables are considered for a loudspeaker-driven synthetic jet actuator (SJA). In order to establish a correlation between the input and output parameters, the input-output relations are revealed through the application of alternative numerical methods, such as the Buckingham- Π theorem and correlation matrices. © 2026 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of Aleksandar Sedmak, Branislav Djordjevic, Simon Sedmak Dr. Simon Sedmak, ssedmak@mas.bg.ac.rs, Innovation Center of Faculty of Mechanical Engineering, Belgrade, Serbia

Keywords: Buckingham- Π theorem; correlation matrix; Strouhal number; synthetic jet actuators

Nomenclature d 0

Orifice inner diameter Cavity inner diameter

d c h 0 h c

Orifice height

Cavity height L Dimensionless stroke length

* Corresponding author. Tel.: +90-342-360-1200; fax: +90-342-360-7039. E-mail address: emrekara@gantep.edu.tr

2452-3216 © 2026 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of Aleksandar Sedmak, Branislav Djordjevic, Simon Sedmak Dr. Simon Sedmak, ssedmak@mas.bg.ac.rs, Innovation Center of Faculty of Mechanical Engineering, Belgrade, Serbia 10.1016/j.prostr.2025.08.076