Correlated and ensemble averaged velocity fields of the flow around pitching and plunging flat plate airfoils from 2 facilities. Raw data were recorded in a water tunnel at BUAA and a wind tunnel at TU Darmstadt. Parameters of the flow, correlation algorithm and airfoil motion can be found in Kissing et al. 2020 (under revision). For additional data and information please contact kissing@sla.tu-darmstadt.de. Both datasets are used to compare the baseline case in the first part of the manuscript.