Mechanical vs. phenomenological formulations to determine mean aerodynamic drag from stereo-PIV wake measurements
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The present work compares two different drag formulations based on a global balance of momentum (cf. for instance Rival and Van Oudheusden in Exp Fluids 58(3):20, 2017) fed with wake surveys of a finite-size wing. The traditional expression in terms of velocity and static pressure is considered, and compared to the phenomenological drag breakdown put forward by Méheut and Bailly (AIAA J 46(4):847–862, 2008) within the aerodynamic context. Both formulations require information on the velocity field, but also the static or stagnation pressure in the wake plane of the model of interest. In this paper, we focus on computing the results based on velocity data exclusively, acquired by stereo-PIV. These two methods are benchmarked experimentally on the wake of a SACCON model (Schütte et al. in J Aircraft 49(6):1638–1651, 2012) that has been measured in one of ONERA’s wind-tunnels, and their performance is evaluated by comparing their results to direct force balance measurements. It is shown that while both formulations perform similarly, with drag predictions lying within 10% of the balance measurements, the phenomenological approach can additionally inform on the physical origins of drag. The latter method may thus be valuable to aerodynamicists, by giving them valuable clues as to how to fine-tune the performances of a given airframe.
The authors acknowledge the financial support of the Agence National pour la Recherche and the DGA under the Grant ANR-16-ASTR-0005-01, as well as the CPER-FEDER of the Hauts-de-France and Nouvelle-Aquitaine regions.
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