{\rtf1\ansi\ansicpg1252\cocoartf2867 \cocoatextscaling0\cocoaplatform0{\fonttbl\f0\fswiss\fcharset0 Arial-BoldMT;\f1\fswiss\fcharset0 Helvetica;\f2\fswiss\fcharset0 ArialMT; \f3\fswiss\fcharset0 Arial-ItalicMT;\f4\froman\fcharset0 TimesNewRomanPSMT;\f5\fmodern\fcharset0 CourierNewPSMT; } {\colortbl;\red255\green255\blue255;\red0\green0\blue0;\red56\green101\blue115;} {\*\expandedcolortbl;;\cssrgb\c0\c0\c0;\cssrgb\c27451\c47059\c52549;} \paperw11900\paperh16840\margl1440\margr1440\vieww17500\viewh13860\viewkind0 \deftab720 \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b\fs29\fsmilli14667 \cf2 \expnd0\expndtw0\kerning0 Project Title: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 Mixing structures in bubble wakes of single bubbles and bubble swarms and their influence on gas-liquid mass transfer and chemical reactions \f1 \ \f2 Applicants: Professorin Dr. Alexandra von Kameke; Professor Dr.-Ing. Michael Schl\'fcter \f1 \ \f2 Deutsche Forschungsgemeinschaft (DFG) - Project number 517064495 \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 Related Publication: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 "Experimental analysis of time resolved three-dimensional velocity and vorticity fields behind single rising bubbles using Lagrangian particle tracking velocimetry" in Chemical Engineering Science (CES) in 2026 (https://doi.org/10.1016/j.ces.2026.123403, Received 21 October 2025; Received in revised form 23 December 2025; Accepted 19 January 2026) \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 Principal Investigators / Authors: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 A. v. Kameke (https://orcid.org/0000-0002-1913-774X), corresp. author \f1 \ \f2 R. Uphoff, \f1 \ \f2 E. Steuwe (https://orcid.org/0009-0001-7213-7159), \f1 \ \f2 J. H. Nissen (https://orcid.org/0009-0004-2915-6890), \f1 \ \f2 M. Hoffmann, \f1 \ \f2 M. Schl\'fcter (https://orcid.org/0000-0001-5969-2150), \f1 \ \f2 F. Kexel (https://orcid.org/0000-0003-4268-2348), \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 Funding Acknowledgement: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 This data set was generated as part of the DFG-funded project 517064495 and the \f3\i CRC 1615: SMART Reactors for Future Process Engineering \f2\i0 (DFG Project Number: 503850735). \f1 \ \pard\pardeftab720\qj\partightenfactor0 \f2 \cf2 The major instrumentation device MUST, funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) - 514139948, has been used for the measurements. \f1 \ \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 1. General Information \f1\b0 \ \f0\b Data set Title: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 WakeMix \'96 Lagrangian particle tracking data and bubble shapes for rising bubble experiments (data paper1) \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 Short Description: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 This is the data and some MATLAB scripts for the analysis of the wake fluid motion of rising, wobbling bubbles generated using 4D-PTV with 4 high-speed cameras, fluorescent particles, a high-speed laser and specialized software DaVis 11.0 (LaVision GmbH, Germany) \'96 module flowmaster. The data provided here was exported from the DAVIS software and then further processed with MATLAB. \f1 \ \f2 The data can be used to retrieve the velocity field in the wake oft he rising bubbles at different bubble rising heights and two different bubble sizes (deq = 2.45mm and deq = 2.62mm) \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 Date of Data Collection: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 [10-04-2024] \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 Geographical Coverage (if applicable): \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 [Berliner Tor 21, 20099 Hamburg, Germany] \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 Keywords: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 [Bubble wake dynamics, 3D particle tracking, Bubble induced fluid flow, Bubble wobbling, 3D-Vorticity] \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 2. Methodological Information \f1\b0 \ \f0\b Data Collection and Processing: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 A) There is data for the bubble rising (in passive fluorescent particles but particles do not fluoresce bc ill. is with white LED) for each bubble size \f1 \ \pard\pardeftab720\li1423\fi-480\qj\partightenfactor0 \cf2 \'b7 \f4\fs18\fsmilli9333 \'a0\'a0\'a0\'a0\'a0\'a0 \f2\fs29\fsmilli14667 data : \f1 \ \pard\pardeftab720\li2383\fi-480\qj\partightenfactor0 \f5 \cf2 o \f4\fs18\fsmilli9333 \'a0\'a0 \f2\fs29\fsmilli14667 Outline of the bubble from each camera: \f1 \ \pard\pardeftab720\li3343\fi-480\qj\partightenfactor0 \cf2 \'a7 \f4\fs18\fsmilli9333 \'a0 \f2\fs29\fsmilli14667 N05_low_smoothed_bubble_centroidnboundary_00.mat \f1 \ \'a7 \f4\fs18\fsmilli9333 \'a0 \f2\fs29\fsmilli14667 N05_High_smoothed_bubble_centroidnboundary_01.mat \f1 \ \'a7 \f4\fs18\fsmilli9333 \'a0 \f2\fs29\fsmilli14667 N06_Low_smoothed_bubble_centroidnboundary_01.mat \f1 \ \'a7 \f4\fs18\fsmilli9333 \'a0 \f2\fs29\fsmilli14667 N06_High_smoothed_bubble_centroidnboundary_00.mat \f1 \ \pard\pardeftab720\li3343\fi-3344\qj\partightenfactor0 \f2 \cf2 \'a0 \f1 \ \pard\pardeftab720\li2383\fi-480\qj\partightenfactor0 \f5 \cf2 o \f4\fs18\fsmilli9333 \'a0\'a0 \f2\fs29\fsmilli14667 Calibration data from DAVIS: N05_Low_Calibration.xml \f1 \ \pard\pardeftab720\li2383\fi-2384\qj\partightenfactor0 \f2 \cf2 \'a0 \f1 \ \pard\pardeftab720\li1423\fi-480\sa213\qj\partightenfactor0 \cf2 \'b7 \f4\fs18\fsmilli9333 \'a0\'a0\'a0\'a0\'a0\'a0 \f2\fs29\fsmilli14667 scripts to plot particle tracks and bubble reconstruction together: \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 \'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0 Using .m MATLAB scripts: \f1 \ \pard\pardeftab720\li3306\fi-480\qj\partightenfactor0 \f2 \cf2 1. \f4\fs18\fsmilli9333 \'a0\'a0\'a0\'a0 \f2\fs29\fsmilli14667 scripts: figures_wakemix_particle_tracks_low_raw.m \f1 \ \pard\pardeftab720\li3306\fi-3307\sa213\qj\partightenfactor0 \f2 \cf2 (needs .mat file for particle tracks., produced by track_mat_from_dat_steps_N05_low_commented.m) \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 \'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0 2. functions: \f1 \ \f2 \'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0 \'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0 \'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0 \'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0 reconstruct_bubble_3d.m, velocities_from_particle_tracks.m \f1 \ \f2 \'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0\'a0 3. classes: laVisionImage2WorldMapper.m \f1 \ \f2 B) And there is data for the particle tracks illuminated with the high-speed laser and reconstructed by the LAVISION software for four cases: \f1 \ \pard\pardeftab720\li1047\fi-480\sa213\qj\partightenfactor0 \cf2 \'b7 \f4\fs18\fsmilli9333 \'a0\'a0\'a0\'a0\'a0\'a0 \f2\fs29\fsmilli14667 data: \f1 \ \pard\pardeftab720\li943\fi-944\sa213\qj\partightenfactor0 \f2 \cf2 1. Bubble generated with needle N05 with FOV starting right at needle (WM_N05_Low_240410_bubble01_uncertainties.dat.zip) \f1 \ \f2 2. Bubble generated with needle N05 with FOV starting approximately at 40 mm above the needle (WM_N05_High_240410_bubble00_uncertainties.dat.zip) \f1 \ \f2 3. Bubble generated with needle N06 with FOV starting right at needle (WM_N06_240410_bubble04_uncertainties.dat.zip) \f1 \ \f2 4. Bubble generated with needle N06 with FOV starting approximately at 40 mm above the needle (WM_N06_High_240410_bubble00_uncertainties.dat.zip) \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 The needles are Sterican hypodermic needles from B. Braun Melsungen AG (Melsungen, Germany) with outer diameters of 0.5 mm (N05) and 0.6 mm (N06) and corresponding inner diameters of 0.26 mm and 0.41 mm. The gas flow rate is controlled using a syringe pump (Legato 200, kdScientific, Massachusetts, USA). The bubbles are generated at a frequency of 0.58 Hz for the smaller needle diameter and 0.50 Hz for the larger one. The resulting measurement volume is Lx \'d7 Ly \'d7 Lz \uc0\u8776 (35 \'d7 47 \'d7 11) mm^3 for each measurement \f1 \ \pard\pardeftab720\li1047\fi-480\qj\partightenfactor0 \cf2 \'b7 \f4\fs18\fsmilli9333 \'a0\'a0\'a0\'a0\'a0\'a0 \f2\fs29\fsmilli14667 scripts: \f1 \ \pard\pardeftab720\li2007\fi-480\qj\partightenfactor0 \f5 \cf2 o \f4\fs18\fsmilli9333 \'a0\'a0 \f2\fs29\fsmilli14667 track_mat_from_dat_steps_N05_low_commented.m (produces the .mat trajectory files, _nosmoothed.mat, _smoothed_*.mat, _reconn_nMissingPoints_*.mat, _reconn_filteredstd_*.mat) \f1 \ \pard\pardeftab720\li2967\fi-480\qj\partightenfactor0 \cf2 \'a7 \f4\fs18\fsmilli9333 \'a0 \f2\fs29\fsmilli14667 uses functions: \f1 \ \pard\pardeftab720\li3927\fi-480\qj\partightenfactor0 \cf2 \'b7 \f4\fs18\fsmilli9333 \'a0\'a0\'a0\'a0\'a0\'a0 \f2\fs29\fsmilli14667 recontracks_paper.m \f1 \ \'b7 \f4\fs18\fsmilli9333 \'a0\'a0\'a0\'a0\'a0\'a0 \f2\fs29\fsmilli14667 import_dat.m \f1 \ \'b7 \f4\fs18\fsmilli9333 \'a0\'a0\'a0\'a0\'a0\'a0 \f2\fs29\fsmilli14667 calculate_std_factor.m \f1 \ \'b7 \f4\fs18\fsmilli9333 \'a0\'a0\'a0\'a0\'a0\'a0 \f2\fs29\fsmilli14667 velocities_from_particle_tracks.m \f1 \ \pard\pardeftab720\li2007\fi-480\sa213\qj\partightenfactor0 \f5 \cf2 o \f4\fs18\fsmilli9333 \'a0\'a0 \f2\fs29\fsmilli14667 create_smoothing_spline_tracks_N05_low.m (loads *_reconn_filteredstd_5.mat' and produces _smoothingspl_veltracks_*.mat) \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 C) There is also the DAVIS Shake-the-Box processing list for the case of N05_High, but was identical for all cases: DAVIS_Processing_List_STB_N05_High.xml \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 Experimental Design / Study Context: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 The applied reactor consists of glass panes and has a squared base of 150 x 150mm2 and a height of 250 mm. It is filled with 2.5 L of bidistilled water containing fluorescent, monodisperse polystyrene (PS) particles with a diameter of dtracer = 19.02\uc0\u956 m (microParticles GmbH, Germany).The particles have minimized dye leaching behavior and are suspended in DI-water, thus an influence on the surface tension can be neglected, which has been confirmed by tensiometric measurements using a BP50 bubble pressure tensiometer (Kruess, Germany). The water temperature is approximately constant during the measurement at 22 +/- 1 \'b0C, at an ambient pressure of p = 1024 mbar. The 4D-PTV measurements are performed and analyzed using the DaVis 11.0 software with the STB module. MATLAB (Matlab, r2024 a) is used for further image processing, graphical representation, and evaluation of the data. With a slight modifcation of the experimental set up, it used to record a bubble without particles. Instead of the laser light, two white LED panels serve as illumination from above and from the side (same direction as the laser) in order to be able to record the bubble only. \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 Data Validation and Quality Assurance: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 Summarize how data accuracy, completeness, or consistency were checked. \f1 \ \f2 Particle trajectories are recorded at a frame rate of 800 Hz within a processed volume of 1685x2159x 470 voxels. For each bubble rise, approximately 1000 time steps after bubble detachment are stored. The accuracy of reconstructed 3D particle positions in Lagrangian particle tracking methods such as STB is closely related to the quality of camera calibration and the consistency of particle image projections across all views. The DaVis software estimates a position uncertainty for each particle position at each timestep. The uncertainties lie well below the particle sizes of 19micrometer. Each bubble trial measurement (e.g. small bubble + low FOV) was performed 4-5 times. The measurements gave the same results and thus only one dataset is uploaded for each trial. \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 3. Data and File Overview \f1\b0 \ \f0\b List of Files and Structure: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 Raw image data from which the particle trajectories and the bubble boundaries were retrieved using four high-speed cameras (Phantom VEO 640L)\'a0 is available on a hard-drive upon request to {\field{\*\fldinst{HYPERLINK "mailto:Alexandra.vonkameke@haw-hamburg.de"}}{\fldrslt \cf3 \ul \ulc3 Alexandra.vonkameke@haw-hamburg.de}} \f1 \ \pard\pardeftab720\qj\partightenfactor0 \f2 \cf2 There are six folders and a README file: \f1 \ \f2 \'a0 \f1 \ \itap1\trowd \taflags0 \trgaph108\trleft-108 \trbrdrt\brdrnil \trbrdrl\brdrnil \trbrdrr\brdrnil \clvertalc \clshdrawnil \clwWidth2495\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx2160 \clvertalc \clshdrawnil \clwWidth10884\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx4320 \clvertalc \clshdrawnil \clwWidth994\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx6480 \clvertalc \clshdrawnil \clwWidth945\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx8640 \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f0\b \cf2 File / Folder \f1\b0 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f0\b \cf2 Description \f1\b0 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f0\b \cf2 Format \f1\b0 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f0\b \cf2 Size \f1\b0 \cell \row \itap1\trowd \taflags0 \trgaph108\trleft-108 \trbrdrl\brdrnil \trbrdrr\brdrnil \clvertalc \clshdrawnil \clwWidth2495\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx2160 \clvertalc \clshdrawnil \clwWidth10884\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx4320 \clvertalc \clshdrawnil \clwWidth994\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx6480 \clvertalc \clshdrawnil \clwWidth945\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx8640 \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 data_N05_Low.zip \f1 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 The data of the tracks as .dat and the bubble outline as .mat files and calibration files (.xml) from Davis for the case \f1 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 .xml, .mat, .dat \f1 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 5.96 GB \'a0zipped \f1 \cell \row \itap1\trowd \taflags0 \trgaph108\trleft-108 \trbrdrl\brdrnil \trbrdrr\brdrnil \clvertalc \clshdrawnil \clwWidth2495\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx2160 \clvertalc \clshdrawnil \clwWidth10884\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx4320 \clvertalc \clshdrawnil \clwWidth994\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx6480 \clvertalc \clshdrawnil \clwWidth945\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx8640 \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 data_N05_High.zip \f1 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 The data of the tracks as .dat and the bubble outline as .mat files and calibration files (.xml) from Davis for the case \f1 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 .xml, .mat, .dat \f1 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 5.6 GB \'a0zipped \f1 \cell \row \itap1\trowd \taflags0 \trgaph108\trleft-108 \trbrdrl\brdrnil \trbrdrr\brdrnil \clvertalc \clshdrawnil \clwWidth2495\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx2160 \clvertalc \clshdrawnil \clwWidth10884\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx4320 \clvertalc \clshdrawnil \clwWidth994\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx6480 \clvertalc \clshdrawnil \clwWidth945\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx8640 \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 data_N06_Low.zip \f1 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 The data of the tracks as .dat and the bubble outline as .mat files and calibration files (.xml) from Davis for the case \f1 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 .xml, .mat, .dat \f1 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 4.78 GB \'a0zipped \f1 \cell \row \itap1\trowd \taflags0 \trgaph108\trleft-108 \trbrdrl\brdrnil \trbrdrr\brdrnil \clvertalc \clshdrawnil \clwWidth2495\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx2160 \clvertalc \clshdrawnil \clwWidth10884\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx4320 \clvertalc \clshdrawnil \clwWidth994\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx6480 \clvertalc \clshdrawnil \clwWidth945\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx8640 \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 data_N06_High.zip \f1 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 The data of the tracks as .dat and the bubble outline as .mat files and calibration files (.xml) from Davis for the case \f1 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 .xml, .mat, .dat \f1 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 5.87 GB \'a0zipped \f1 \cell \row \itap1\trowd \taflags0 \trgaph108\trleft-108 \trbrdrl\brdrnil \trbrdrr\brdrnil \clvertalc \clshdrawnil \clwWidth2495\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx2160 \clvertalc \clshdrawnil \clwWidth10884\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx4320 \clvertalc \clshdrawnil \clwWidth994\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx6480 \clvertalc \clshdrawnil \clwWidth945\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx8640 \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 scripts / \f1 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 Analysis MATLAB scripts and functions (the path and some initial values need to be adjusted to the case -> N05_Low, N05_High, N06_Low, N06_High :::: needle tip position to (x,y,z)=(0,0,0) :::: bubble and particle tilmestep difference <-- all in the comments of the corresponding script) \f1 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 .m \f1 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 28 KB \f1 \cell \row \itap1\trowd \taflags0 \trgaph108\trleft-108 \trbrdrl\brdrnil \trbrdrr\brdrnil \clvertalc \clshdrawnil \clwWidth2495\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx2160 \clvertalc \clshdrawnil \clwWidth10884\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx4320 \clvertalc \clshdrawnil \clwWidth994\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx6480 \clvertalc \clshdrawnil \clwWidth945\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx8640 \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 davis/ \f1 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 The example processing list from MATLAB: DAVIS_Processing_List_STB_N05_High.xml \f1 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 .xml \f1 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 6 MB \f1 \cell \row \itap1\trowd \taflags0 \trgaph108\trleft-108 \trbrdrl\brdrnil \trbrdrt\brdrnil \trbrdrr\brdrnil \clvertalc \clshdrawnil \clwWidth2495\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx2160 \clvertalc \clshdrawnil \clwWidth10884\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx4320 \clvertalc \clshdrawnil \clwWidth994\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx6480 \clvertalc \clshdrawnil \clwWidth945\clftsWidth3 \clmart10 \clmarl10 \clmarb10 \clmarr10 \clbrdrt\brdrnil \clbrdrl\brdrnil \clbrdrb\brdrnil \clbrdrr\brdrnil \clpadt20 \clpadl20 \clpadb20 \clpadr20 \gaph\cellx8640 \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 README \f1 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 This readme \f1 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 .pdf and .rtf \f1 \cell \pard\intbl\itap1\pardeftab720\qj\partightenfactor0 \f2 \cf2 5 KB \f1 \cell \lastrow\row \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 File Naming Convention: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 [WM_N05_Low_240410_bubble01_uncertainties.dat.zip]: N05 is the smaller bubble generated with outer needle diameter 0.5 mm, LOW defines the higher FOV measured, bubble01 the bubble trial (here first bubble measured with particle illumination) \f1 \ \f2 [N05_low_smoothed_bubble_centroidnboundary_00.mat]: \f0\b \f2\b0 N05 is the smaller bubble generated with outer needle diameter 0.5 mm, _00 is the first bubble measured without laser illumination. \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 Number of Records / Observations: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 published here: one record for each of the 4 cases. For each case 3-4 more measurements of the same variable set are available. \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 4. Access and Licensing Information \f1\b0 \ \f0\b Repository and Persistent Identifier: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 \'93Published via TORE, DOI: {\field{\*\fldinst{HYPERLINK "https://doi.org/10.15480/882.16589"}}{\fldrslt \cf3 \ul \ulc3 https://doi.org/10.15480/882.16589}}\'94 \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 License for Use: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 CC BY 4.0 (Attribution) \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 Access Restrictions: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 Open \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 Text for Citation: \f1\b0 \ \pard\pardeftab720\qj\partightenfactor0 \f2 \cf2 please cite this data/scripts wherever you use them and the corresponding article: \f1 \ \f2 \'a0\'a0 this data/scripts: \f1 \ \f2 \'a0\'a0\'a0\'a0\'a0\'a0\'a0 {\field{\*\fldinst{HYPERLINK "https://doi.org/10.15480/882.16589"}}{\fldrslt \cf3 \ul \ulc3 https://doi.org/10.15480/882.16589}} \f1 \ \f2 \'a0\'a0 the corresponding article: \f1 \ \f2 \'a0\'a0\'a0\'a0\'a0\'a0\'a0 {\field{\*\fldinst{HYPERLINK "https://doi.org/10.1016/j.ces.2026.123403"}}{\fldrslt \cf3 \ul \ulc3 https://doi.org/10.1016/j.ces.2026.123403}} \f1 \ \f2 E.g.: \f1 \ \f2 A.v. Kameke, R. Uphoff, E. Steuwe, J.H. Nissen, M. Hoffmann, M. Schl\'fcter, F. Kexel, \f1 \ \pard\pardeftab720\qj\partightenfactor0 \f3\i \cf2 Experimental analysis of time resolved three-dimensional velocity and vorticity fields behind single rising bubbles using Lagrangian particle tracking velocimetry \f2\i0 , \f1 \ \pard\pardeftab720\qj\partightenfactor0 \f2 \cf2 Chemical Engineering Science, 2026,123403, https://doi.org/10.1016/j.ces.2026.123403. \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 5. Reproducibility and Software Dependencies \f1\b0 \ \f0\b Software Required: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 [Matlab (r2024a), 2024. {\field{\*\fldinst{HYPERLINK "https://www.mathworks.com/products/matlab.html"}}{\fldrslt \cf3 \ul \ulc3 https://www.mathworks.com/products/matlab.html}}, FlowMaster Module for DAVIS, LaVision GmbH, L., 2023. Product Manual for DaVis 11.0. LaVision GmbH, Anna-Vandenhoeck-Ring 19, D-37081 G\'f6ttingen Produced by LaVision GmbH, G\'f6ttingen] \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 Scripts and Workflow: \f1\b0 \ \pard\pardeftab720\li1047\fi-480\qj\partightenfactor0 \cf2 \'b7 \f4\fs18\fsmilli9333 \'a0\'a0\'a0\'a0\'a0\'a0 \f2\fs29\fsmilli14667 download all zipped folders from the repository \f1 \ \'b7 \f4\fs18\fsmilli9333 \'a0\'a0\'a0\'a0\'a0\'a0 \f2\fs29\fsmilli14667 Unzip folders \f1 \ \'b7 \f4\fs18\fsmilli9333 \'a0\'a0\'a0\'a0\'a0\'a0 \f2\fs29\fsmilli14667 Run script \f0\b track_mat_from_dat_steps_N05_low_commented.m \f2\b0 as is using MATAB to create .mat trajectory files for experimental case N05_Low. \f1 \ \'b7 \f4\fs18\fsmilli9333 \'a0\'a0\'a0\'a0\'a0\'a0 \f2\fs29\fsmilli14667 Run script \f0\b create_smoothing_spline_tracks_N05_low.m \f2\b0 to produce final tracks with smoothed velocities that were used for further analysis in the publication ({\field{\*\fldinst{HYPERLINK "https://doi.org/10.1016/j.ces.2026.123403"}}{\fldrslt \cf3 \ul \ulc3 https://doi.org/10.1016/j.ces.2026.123403}}) \f1 \ \'b7 \f4\fs18\fsmilli9333 \'a0\'a0\'a0\'a0\'a0\'a0 \f2\fs29\fsmilli14667 Run script figures_wakemix_particle_tracks_low_raw.m to plot bubble and particle tracks together. \f1 \ \pard\pardeftab720\li1047\fi-480\sa213\qj\partightenfactor0 \cf2 \'b7 \f4\fs18\fsmilli9333 \'a0\'a0\'a0\'a0\'a0\'a0 \f2\fs29\fsmilli14667 Do all of the above again for the other .dat files of the other experimental trials (e.g. N05_High) adjusting the needle position (see comments in script) and the reference to the files. \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 Reproducibility Notes: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 Please use the trajectory and bubble data for the generation of time resolved velocity-fields and the derivatives thereof. Also, the trajectory data can be used to analyze the mixing in the bubble wake. \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 6. Ethical and Legal Aspects \f1\b0 \ \f0\b Data Protection: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 Not applicable \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 Consent Statement: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 [Indicate whether participants consented to data sharing.] \f1 \ \pard\pardeftab720\qj\partightenfactor0 \cf2 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 7. Versioning and Updates \f1\b0 \ \f0\b Version Number: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 v1.0. \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 Date of Release: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 2026-02-05 \f1 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 Change Log: \f1\b0 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f2 \cf2 - \f1 \ \pard\pardeftab720\qj\partightenfactor0 \cf2 \ \pard\pardeftab720\sa213\qj\partightenfactor0 \f0\b \cf2 8. Contact Information \f1\b0 \ \f0\b Corresponding Author: \f1\b0 \ \pard\pardeftab720\sa213\partightenfactor0 \f2 \cf2 Name: Alexandra von Kameke\uc0\u8232 Institution: Faculty of Sustainable Engineering, Heinrich-Blasius-Institute, Hamburg University of Applied Sciences\u8232 Email: Alexandra.vonkameke@haw-hamburg.de\u8232 ORCID: https://orcid.org/0000-0002-1913-774X\u8232 Project Website (if available): https://www.haw-hamburg.de/person/alexandra-kameke/ \f1 \ \pard\pardeftab720\sl313\sa213\qj\partightenfactor0 \f2 \cf2 \'a0 \f1 \ }