Datasets for Physical Law Ecology: droplet evaporation experiments

DATASET: Binary Droplet Evaporation Thermal Imaging Data ========================================OVERVIEW======================================== This dataset contains infrared thermal imaging sequences of water-ethanol binary droplets evaporating on heated substrates. The data were collected to study the multi-mechanism competition between Fourier conduction, Marangoni convection, and contact-line evaporation dynamics. ========================================EXPERIMENTAL SETUP======================================== Equipment:- Infrared camera: PC410 (384×288 pixels, 32 fps)- Temperature resolution: 0.03°C- Spatial resolution: ~50 μm/pixel- Substrate: Constant-temperature heated aluminum plate Conditions tested:- Substrate temperatures: 40°C, 50°C, 60°C, 70°C- Ethanol volume fractions: 0%, 5%, 10%, 20%, 30%, 50%- Total combinations: 24 independent experimental conditions- Each condition recorded from droplet deposition until complete evaporation ========================================DATA STRUCTURE======================================== The dataset is organized as follows: /processed_profiles/ radial_profiles_T40_E00.csv radial_profiles_T40_E10.csv ... [24 CSV files with extracted radial temperature profiles] ========================================FILE FORMATS======================================== Processed radial profiles (.csv):Columns:- time_sec: Time since droplet deposition (seconds)- r_mm: Radial distance from droplet center (millimeters)- r_normalized: Radial distance normalized by droplet radius (0-1)- delta_T: Temperature difference T_substrate - T_local (°C)- theta_deg: Azimuthal angle (degrees, 0-360) ========================================DATA PROCESSING PIPELINE======================================== Raw frames undergo the following preprocessing before analysis: 1. Plate region extraction (rows 40-288) to exclude air background2. Gaussian smoothing (σ=8 pixels) for noise reduction3. Adaptive thresholding for droplet boundary detection4. Connected-component analysis to isolate droplet region5. Centroid and radius calculation via moment analysis6. Azimuthal averaging in 30 radial bins from center to 2.5×radius7. Temporal derivative estimation via central differences Detailed preprocessing code is available in the accompanying GitHub repository:https://github.com/XionghengBian/Cell_Ecology ========================================DATA USAGE NOTES======================================== - Frame rate is constant at 32 fps across all experiments- Evaporation times vary from ~60 seconds (70°C, high ethanol) to ~400 seconds (40°C, pure water)- Contact-line pinning-depinning transitions occur in most sequences (see paper Section 5)- Early frames (<5 sec) may contain deposition artifacts; use t>5 sec for analysis- High ethanol concentrations (>40%) show rapid composition changes in first 10-20% of evaporation time ========================================REPRODUCIBILITY INFORMATION======================================== To reproduce the results in Section 5 of the paper:1. Load processed radial profiles from /processed_profiles/2. Apply the Physical Law Ecology framework (see GitHub repository)3. Run with parameters: K_max=5, spatial blocks S=6, condition windows C=44. The framework autonomously discovers three thermal transport equations and their spatial-temporal evolution For questions or data reuse inquiries, contact:- Xiongheng Bian: [e-mail]- Xiaoyan Shen: School of Information Science and Technology, Nantong University ========================================LICENSE======================================== This dataset is released under the Creative Commons Attribution 4.0 International (CC BY 4.0) license.You are free to:- Share — copy and redistribute the material- Adapt — remix, transform, and build upon the material Under the following terms:- Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made ========================================ACKNOWLEDGMENTS======================================== This work was supported by the National Natural Science Foundation of China (Grant No. 12102204), the Jiangsu Provincial Natural Science Foundation (Grant No. BK20251914), and the Nantong Natural Science Foundation (Grant No. JC2023072).