{"paper":{"title":"Fate of Secondary Droplets Produced by High-speed Raindrops Interacting with a Liquid Pool","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Simulations of raindrops hitting a liquid pool reveal that secondary droplet numbers scale as radius to the power -5/2 and collapse onto one curve when normalized.","cross_cats":["physics.geo-ph"],"primary_cat":"physics.flu-dyn","authors_text":"Han-Hsiang Kuo, Xuanting Hao","submitted_at":"2026-04-12T06:50:43Z","abstract_excerpt":"Secondary droplets produced by interactions between falling fluid drops and a liquid pool play a significant role in engineering applications and geophysical processes in nature. This study uses direct numerical simulations to investigate the dynamics of secondary droplets generated by raindrop-liquid pool interactions. The raindrop parameters feature a realistic speed of 7 m/s, effective diameters of 1-4 mm, and surface tension values ranging from $25\\%$ to twice the typical air-water interface value. The numerical configurations include both a single raindrop and two raindrops separated by d"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The secondary droplet size distribution, N_d, is found to scale with the droplet radius, r_s, as N_d(r_s)∝ r_s^{-5/2}, with additional dependencies on surface tension and raindrop diameter. When normalized according to this new scaling law, the N_d(r_s) obtained from simulations with different parameter values collapses onto a single curve.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The direct numerical simulations faithfully reproduce real high-speed drop-pool physics and that the -5/2 scaling plus collapse are not limited to the specific parameter ranges or numerical setups tested.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Secondary droplet size distribution from raindrop-liquid pool impacts scales as N_d(r_s) ∝ r_s^{-5/2} and collapses onto one curve when normalized by surface tension and raindrop diameter.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Simulations of raindrops hitting a liquid pool reveal that secondary droplet numbers scale as radius to the power -5/2 and collapse onto one curve when normalized.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"72e343ba67ca3b5f9ed388711300774d36bb1ad80fad9a19b8562038810067d4"},"source":{"id":"2604.10491","kind":"arxiv","version":2},"verdict":{"id":"88e3d7e3-3fc9-4e3d-b614-3ab86a54b376","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-10T16:22:12.691832Z","strongest_claim":"The secondary droplet size distribution, N_d, is found to scale with the droplet radius, r_s, as N_d(r_s)∝ r_s^{-5/2}, with additional dependencies on surface tension and raindrop diameter. When normalized according to this new scaling law, the N_d(r_s) obtained from simulations with different parameter values collapses onto a single curve.","one_line_summary":"Secondary droplet size distribution from raindrop-liquid pool impacts scales as N_d(r_s) ∝ r_s^{-5/2} and collapses onto one curve when normalized by surface tension and raindrop diameter.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The direct numerical simulations faithfully reproduce real high-speed drop-pool physics and that the -5/2 scaling plus collapse are not limited to the specific parameter ranges or numerical setups tested.","pith_extraction_headline":"Simulations of raindrops hitting a liquid pool reveal that secondary droplet numbers scale as radius to the power -5/2 and collapse onto one curve when normalized."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.10491/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}