{"paper":{"title":"Waves dictate the yo-yoing decay of a viscoelastic mixing layer","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Waves develop in decaying viscoelastic mixing layers and drive oscillatory yo-yoing of the mean flow.","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Giulio Foggi Rota, Jason Tang, Marco Edoardo Rosti, Piyush Garg","submitted_at":"2026-04-24T01:41:52Z","abstract_excerpt":"We find that waves develop in a time-decaying mixing layer of viscoelastic fluid, leading the mean-flow to yo-yo. This is in sharp contrast with Newtonian fluids, where laminar mixing layers evolve monotonically. We combine direct numerical simulations with a theoretical analysis of the energy budget for the flow to uncover the underlying physical mechanism. The yo-yoing of the mean-flow is shown to be driven by the elastic polymers injecting energy into the fluid and, in turn, being rotated by the large-scale mean shear. We then provide the mathematical model of the problem and solve it analy"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Waves develop in a time-decaying mixing layer of viscoelastic fluid, leading the mean-flow to yo-yo; the yo-yoing is driven by the elastic polymers injecting energy into the fluid and, in turn, being rotated by the large-scale mean shear, with analytical wave solutions with non-linear dispersion predicting the period of the yo-yoing and the parameter range where it occurs.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The assumption that the chosen viscoelastic constitutive model (implied by elastic polymers and energy budget) and the direct numerical simulations accurately capture the polymer dynamics without numerical artifacts or model-specific artifacts driving the observed waves and yo-yoing.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Waves in viscoelastic mixing layers drive yo-yoing mean-flow decay through elastic energy injection and shear-induced polymer rotation, with analytical wave solutions predicting the oscillation period and occurrence range.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Waves develop in decaying viscoelastic mixing layers and drive oscillatory yo-yoing of the mean flow.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"490b3aab6f5b270fa41eb179ee140dbd2cd84630493ab4c3dd8a722febf0b3b7"},"source":{"id":"2604.22150","kind":"arxiv","version":2},"verdict":{"id":"86f1365e-bba0-45d6-9a01-b4fb9cfd2040","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-08T10:23:33.706248Z","strongest_claim":"Waves develop in a time-decaying mixing layer of viscoelastic fluid, leading the mean-flow to yo-yo; the yo-yoing is driven by the elastic polymers injecting energy into the fluid and, in turn, being rotated by the large-scale mean shear, with analytical wave solutions with non-linear dispersion predicting the period of the yo-yoing and the parameter range where it occurs.","one_line_summary":"Waves in viscoelastic mixing layers drive yo-yoing mean-flow decay through elastic energy injection and shear-induced polymer rotation, with analytical wave solutions predicting the oscillation period and occurrence range.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The assumption that the chosen viscoelastic constitutive model (implied by elastic polymers and energy budget) and the direct numerical simulations accurately capture the polymer dynamics without numerical artifacts or model-specific artifacts driving the observed waves and yo-yoing.","pith_extraction_headline":"Waves develop in decaying viscoelastic mixing layers and drive oscillatory yo-yoing of the mean flow."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.22150/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-21T11:36:01.060772Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-20T00:13:59.001805Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"b60bd4b3c6b987306ce227f644f30f27ddff4cdee835b7c9e3347fca5e124abd"},"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"}