PSI - Issue 72

Emre Kara / Procedia Structural Integrity 72 (2025) 77–84

84

The correlation between V 0 (P6) and d c (P2) is noticeable at the frequencies of 50 Hz, 70 Hz, 110 Hz, and 130 Hz. However, a stronger correlation is obser ved at β 0 (P5) with a frequency of 90 Hz. It should be noted that all correlations have low R 2 values, indicating a low-quality quadratic fit of the scatter plots, resulting in only moderate correlation values. The correlation between h 0 (P3) and V p (P10) is high (R 2 contribution) at 50 Hz and 90 Hz. Additionally, there is a moderate correlation between h 0 (P3) and β 0 (P5) at 70 Hz, 110 Hz, and 130 Hz. Therefore, it is also possible to establish a successful relation between the output parameters V p and β 0 with respect to their relations with h 0 . The correlation between the input parameter h c (P4) and all output parameters is the weakest compared to the other input parameters. On the other hand, β 0 (P6) and V 0 (P5) show the most success at frequencies of 50-110-130 Hz and 70-90 Hz, respectively. 3. Conclusion The principal objective of this study is to establish the correlation between input geometrical parameters (cavity inner diameter, d c , orifice exit diameter, d 0 , cavity height, h c , orifice height, h 0 ) and a range of output parameters. 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, that are the Buckingham-Pi theorem, correlation matrices, sensitivity analysis and determination matrices. It can be concluded that the structural integrity of a loudspeaker-driven synthetic jet actuator is assured if the governing parameters of Re, S, and St are selected with due forethought and care. Acknowledgements This work was supported by Gaziantep University, Scientific Research Projects Coordination Unit, Türkiye [grant number MF.GAP.22.12]. Computing resources used in this work were provided by the National Center for High Performance Computing of Türkiye (UHeM) [grant number 1013062022]. Author would like to thank Anja Giordano from Sales Department in Visaton GmbH & Co. KG of Haan, Germany for supplying the loudspeaker geometry files. References Ansys DesignXplorer, 2022. User’s guide ANSYS Flue nt, 2022. User’s guide Gil, P., Smyk, E., 2019. Synthetic jet actuator efficiency based on the reaction force measurement. Sensors and Actuators A: Physical, 295, 405 413 Girfoglio, M., 2015. On the characterization of a synthetic jet actuator driven by a piezoelectric disk. PhD Thesis, Universita degli studi di Napoli Federico II, Napoli, Italy Jain, M., Puranik, B., Agrawal, A., 2011. A numerical investigation of effects of cavity and orifice parameters on the characteristics of a synthetic jet flow. Sensors and actuators A: Physical, 165(2), 351-366 Jankee, G.K., 2020. Experiments with synthetic jets: Performance and crossflow interactions. PhD Thesis, University of Southampton, UK Kara, E., 2025. Parametric Analysis and Design Optimization of a Loudspeaker-Driven Synthetic Jet Actuator Using Response Surface Model in Quiescent Conditions. International Journal of Computational Methods Kordík, J., Trávníček, Z., 2019, Integral quantities of axisymmetric synthetic jets evaluated from a direct jet thrust me asurement. Flow Turbulence and Combustion 103, 827 – 844 Persoons, T., Cressall, R., Alimohammadi, S., 2018. Validating a reduced-order model for synthetic jet actuators using CFD and experimental data. Actuators 7(4), 67 Seifert A., 2006. Closed-loop active flow control systems: Actuators. In: Active Flow Control: Papers contributed to the Conference “Active Flow Control 2006” (ed R King), Berlin, Germany, 27 -29 September 2006, pp.85 – 102. Heidelberg: Springer Seifert, A., 2015. Evaluation criteria and performance comparison of actuators. In: Instability and Control of Massively Separated Flows: Proceedings of the International Conference on Instability and Control of Massively Separated Flows (eds V Theofilis, J Soria), Prato, Italy, 4-6 September 2013, pp.59 – 64. Cham: Springer Uruba, V., 2005. Flow control using synthetic jet actuators. Engineering Mechanics 12(1), 41 – 62