{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:SA4HAPVBEIKOMP73VYBRFV2Z7E","short_pith_number":"pith:SA4HAPVB","schema_version":"1.0","canonical_sha256":"9038703ea12214e63ffbae0312d759f91278123edfd4ddec1f3c22a79988a9e8","source":{"kind":"arxiv","id":"1109.6865","version":1},"attestation_state":"computed","paper":{"title":"Connecting flow structures and heat flux in turbulent Rayleigh-B\\'enard convection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Detlef Lohse, Erwin P. van der Poel, Richard J. A. M. Stevens","submitted_at":"2011-09-30T15:56:09Z","abstract_excerpt":"The aspect ratio (\\Gamma) dependence of the heat transfer (Nusselt number Nu in dimensionless form) in turbulent (two-dimensional) Rayleigh-B\\'enard convection is numerically studied in the regime $0.4 \\le \\Gamma \\le 1.25$ for Rayleigh numbers $10^7 \\le Ra \\le Ra^{9}$ and Prandtl numbers Pr =0.7 (gas) and 4.3 (water). Nu (\\Gamma) shows a very rich structure with sudden jumps and sharp transitions. We connect these structures to the way the flow organizes itself in the sample and explain why the aspect ratio dependence of Nu is more pronounced for small Pr. Even for fixed \\Gamma different turbu"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1109.6865","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2011-09-30T15:56:09Z","cross_cats_sorted":[],"title_canon_sha256":"875a826042cad028838e340acb8f0e21a8988356d1deb03a4cf71a880e070e03","abstract_canon_sha256":"96457021ff5c50b4cb3b117f841874ee6e8b74e7367c8128cc08a2491bd397df"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:07:07.638972Z","signature_b64":"IR9EFGcljCz/6CWmM/NGetI8x8hDrNdQ9GqJUd7Jb1nn8nXj7At5Ej4Z121YMKB27dFeEEoULHG2xbA5qwYbBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9038703ea12214e63ffbae0312d759f91278123edfd4ddec1f3c22a79988a9e8","last_reissued_at":"2026-05-18T04:07:07.638496Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:07:07.638496Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Connecting flow structures and heat flux in turbulent Rayleigh-B\\'enard convection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Detlef Lohse, Erwin P. van der Poel, Richard J. A. M. Stevens","submitted_at":"2011-09-30T15:56:09Z","abstract_excerpt":"The aspect ratio (\\Gamma) dependence of the heat transfer (Nusselt number Nu in dimensionless form) in turbulent (two-dimensional) Rayleigh-B\\'enard convection is numerically studied in the regime $0.4 \\le \\Gamma \\le 1.25$ for Rayleigh numbers $10^7 \\le Ra \\le Ra^{9}$ and Prandtl numbers Pr =0.7 (gas) and 4.3 (water). Nu (\\Gamma) shows a very rich structure with sudden jumps and sharp transitions. We connect these structures to the way the flow organizes itself in the sample and explain why the aspect ratio dependence of Nu is more pronounced for small Pr. Even for fixed \\Gamma different turbu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6865","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1109.6865","created_at":"2026-05-18T04:07:07.638583+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.6865v1","created_at":"2026-05-18T04:07:07.638583+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6865","created_at":"2026-05-18T04:07:07.638583+00:00"},{"alias_kind":"pith_short_12","alias_value":"SA4HAPVBEIKO","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_16","alias_value":"SA4HAPVBEIKOMP73","created_at":"2026-05-18T12:26:41.206345+00:00"},{"alias_kind":"pith_short_8","alias_value":"SA4HAPVB","created_at":"2026-05-18T12:26:41.206345+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SA4HAPVBEIKOMP73VYBRFV2Z7E","json":"https://pith.science/pith/SA4HAPVBEIKOMP73VYBRFV2Z7E.json","graph_json":"https://pith.science/api/pith-number/SA4HAPVBEIKOMP73VYBRFV2Z7E/graph.json","events_json":"https://pith.science/api/pith-number/SA4HAPVBEIKOMP73VYBRFV2Z7E/events.json","paper":"https://pith.science/paper/SA4HAPVB"},"agent_actions":{"view_html":"https://pith.science/pith/SA4HAPVBEIKOMP73VYBRFV2Z7E","download_json":"https://pith.science/pith/SA4HAPVBEIKOMP73VYBRFV2Z7E.json","view_paper":"https://pith.science/paper/SA4HAPVB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.6865&json=true","fetch_graph":"https://pith.science/api/pith-number/SA4HAPVBEIKOMP73VYBRFV2Z7E/graph.json","fetch_events":"https://pith.science/api/pith-number/SA4HAPVBEIKOMP73VYBRFV2Z7E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SA4HAPVBEIKOMP73VYBRFV2Z7E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SA4HAPVBEIKOMP73VYBRFV2Z7E/action/storage_attestation","attest_author":"https://pith.science/pith/SA4HAPVBEIKOMP73VYBRFV2Z7E/action/author_attestation","sign_citation":"https://pith.science/pith/SA4HAPVBEIKOMP73VYBRFV2Z7E/action/citation_signature","submit_replication":"https://pith.science/pith/SA4HAPVBEIKOMP73VYBRFV2Z7E/action/replication_record"}},"created_at":"2026-05-18T04:07:07.638583+00:00","updated_at":"2026-05-18T04:07:07.638583+00:00"}