{"paper":{"title":"Non-Newtonian Poiseuille flow of a gas in a pipe","license":"","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Andr\\'es Santos (2) ((1)D\\'epartement de Physique, Badajoz, Mekn\\`es, Mohamed Tij (1), Morocco; (2) Departamento de F\\'isica, Spain), Universidad de Extremadura, Universit\\'e Moulay Isma\\\"il","submitted_at":"2000-06-05T11:26:00Z","abstract_excerpt":"The Bhatnagar-Gross-Krook kinetic model of the Boltzmann equation is solved for the steady cylindrical Poiseuille flow fed by a constant gravity field. The solution is obtained as a perturbation expansion in powers of the field (through fourth order) and for a general class of repulsive potentials. The results, which are hardly sensitive to the interaction potential, suggest that the expansion is only asymptotic. A critical comparison with the profiles predicted by the Navier-Stokes equations shows that the latter fail over distances comparable to the mean free path. In particular, while the N"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0006063","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"}