{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:IEARAFYOGWIJCZIHI2EXW2EKDL","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"3cdce53f439d6ec1ab83bf26e0cd13fd5cf2a215c5870e46b1ee28f3f952fc52","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-05-13T08:50:16Z","title_canon_sha256":"1049ae23943bd16bae0c87deb8d4e388164467b33d2a37cb6485f39438d0efa7"},"schema_version":"1.0","source":{"id":"2605.13195","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.13195","created_at":"2026-05-18T03:08:48Z"},{"alias_kind":"arxiv_version","alias_value":"2605.13195v1","created_at":"2026-05-18T03:08:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.13195","created_at":"2026-05-18T03:08:48Z"},{"alias_kind":"pith_short_12","alias_value":"IEARAFYOGWIJ","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"IEARAFYOGWIJCZIH","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"IEARAFYO","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:1498a9e47a69ae38efa2e6204c65a78723869ebdef365034151722639ebd47b7","target":"graph","created_at":"2026-05-18T03:08:48Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"A set of terms, typically neglected during the upscaling procedure (related to the Taylor expansion of the filtered variables), is analysed for the first time for the turbulent heat transfer at the porous-fluid interface, and are found to be significant at low Pr."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The chosen Reynolds number, grid resolution, and filter kernels are sufficient to capture the true magnitude of the neglected Taylor terms at the interface for the three Prandtl numbers examined."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Low-Prandtl-number simulations show that Taylor-expansion terms neglected in upscaled heat-transfer models are significant at porous-fluid interfaces."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Terms usually dropped when averaging flow variables near porous walls grow important for heat transfer when the Prandtl number is low."}],"snapshot_sha256":"ae36c53d9290afd38da38ad169ed8d84ec0afa30fe6a7d3b5c90468beb39a667"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"7490d1856cef4cfd22e5e2179403300434fba1b55135088582145675bb5f34f8"},"paper":{"abstract_excerpt":"The work considers a fully turbulent flow with heat transfer in a channel half-filled with an array of cubes based on the work of Breugem and Boersma (2005) and Chandesris et al. (2013), at $\\mathrm{Re}_\\mathrm{bulk} = 5485$ and three different Prandtl numbers, $\\mathrm{Pr} = 0.71, 0.1, 0.05$. The temperature is modelled as a passive scalar and two different boundary condition configurations are simulated. The influence of the Prandtl number on the mean temperature, its variance and the terms of the temperature budget is highlighted, including the analysis of the distribution and relative impo","authors_text":"Francesca di Mare, Hakan Demir, Wojciech Sadowski","cross_cats":[],"headline":"Terms usually dropped when averaging flow variables near porous walls grow important for heat transfer when the Prandtl number is low.","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-05-13T08:50:16Z","title":"Influence of Prandtl number on heat transfer over a permeable wall"},"references":{"count":109,"internal_anchors":1,"resolved_work":109,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"Dixon and Behnam Partopour , title =","work_id":"76de2c4e-338d-4e08-abe5-2a6cab2024b7","year":2020},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"Hermann, T. and McGilvray, M. , title =. Journal of Fluid Mechanics , year =","work_id":"ae1cd937-9161-40e0-b02e-8d83a14a65a2","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"Shen, G. and Yuan, J. and Phanikumar, M. S. , title =. Journal of Fluid Mechanics , year =","work_id":"363da96f-6b9c-447a-ae79-44b2f93f0259","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"Annual Review of Fluid Mechanics , volume =","work_id":"e7e08483-969d-451f-b655-307474155653","year":2000},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"Sandham , title =","work_id":"0bc21bb3-6d1d-4626-8cb4-67bc25ae4c23","year":2019}],"snapshot_sha256":"1fe425c6035aa640847553d6f0d9b5b1023311d3af76b9a662d9a06dbbfb4c7b"},"source":{"id":"2605.13195","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-14T02:05:05.204176Z","id":"5df626bf-f3ae-4496-8457-3b3264900d19","model_set":{"reader":"grok-4.3"},"one_line_summary":"Low-Prandtl-number simulations show that Taylor-expansion terms neglected in upscaled heat-transfer models are significant at porous-fluid interfaces.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Terms usually dropped when averaging flow variables near porous walls grow important for heat transfer when the Prandtl number is low.","strongest_claim":"A set of terms, typically neglected during the upscaling procedure (related to the Taylor expansion of the filtered variables), is analysed for the first time for the turbulent heat transfer at the porous-fluid interface, and are found to be significant at low Pr.","weakest_assumption":"The chosen Reynolds number, grid resolution, and filter kernels are sufficient to capture the true magnitude of the neglected Taylor terms at the interface for the three Prandtl numbers examined."}},"verdict_id":"5df626bf-f3ae-4496-8457-3b3264900d19"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:a4d75f6c2c99bc48e77a2acecdda6a23f2088211ed6657cdb33998001a52dda5","target":"record","created_at":"2026-05-18T03:08:48Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"3cdce53f439d6ec1ab83bf26e0cd13fd5cf2a215c5870e46b1ee28f3f952fc52","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2026-05-13T08:50:16Z","title_canon_sha256":"1049ae23943bd16bae0c87deb8d4e388164467b33d2a37cb6485f39438d0efa7"},"schema_version":"1.0","source":{"id":"2605.13195","kind":"arxiv","version":1}},"canonical_sha256":"410110170e359091650746897b688a1ae2b0cc6bfd85ce0f22635c7a3c00b5d2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"410110170e359091650746897b688a1ae2b0cc6bfd85ce0f22635c7a3c00b5d2","first_computed_at":"2026-05-18T03:08:48.740523Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:48.740523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zD/Tyedubv+GBKHz4btvQysdVvqXUoOhwFzqhBIGGcERD508Bnq5Yhv5Jj1A/7mz1GbF/0SmSSforkZxt2HpBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:48.741088Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.13195","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a4d75f6c2c99bc48e77a2acecdda6a23f2088211ed6657cdb33998001a52dda5","sha256:1498a9e47a69ae38efa2e6204c65a78723869ebdef365034151722639ebd47b7"],"state_sha256":"06e18852c85d8514b4ebe528073d08fd1a4c2c6019f3c0277b766e450ac03a90"}