{"id":"W4206513332","doi":"10.2298/fil2108617k","title":"Analytic transient solutions of a cylindrical heat equation","year":2021,"lang":"en","type":"article","venue":"Filomat","topic":"Thermoelastic and Magnetoelastic Phenomena","field":"Engineering","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Superposition principle; Bessel function; Heat equation; Transient (computer programming); Separation of variables; Thermal conduction; Mathematical analysis; Partial differential equation; Fourier number; Exponential function; Differential equation; Heat transfer; Fourier transform; First-order partial differential equation; Heat transfer coefficient; Thermodynamics; Physics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003286049,0.000456541,0.0002831749,0.0004956602,0.0003296209,0.0008168428,0.0004327437,0.0005692472,0.00387326],"category_scores_gemma":[0.001587584,0.0001527101,0.0004214803,0.0004937683,0.0008573417,0.00077737,0.0006021033,0.0006071867,0.0005279133],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005888211,"about_ca_system_score_gemma":0.0006198555,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001003313,"about_ca_topic_score_gemma":0.0005225729,"domain_scores_codex":[0.9998535,0.00003372708,0.000005605137,0.00001788925,0.00006275249,0.00002653859],"domain_scores_gemma":[0.9997786,0.00007940095,0.00002763254,0.00001923685,0.00008051669,0.00001461947],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006244301,0.00002619103,0.0001983807,0.0001340447,0.00001090397,0.0002434248,0.0004015827,0.07973927,0.03120627,0.8674169,0.002364727,0.01819591],"study_design_scores_gemma":[0.00002787538,0.00006929252,0.0003875578,0.00003385135,0.000009456683,0.0003113963,0.0001822868,0.8657116,0.008651733,0.1176188,0.006970847,0.00002528624],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.08719319,0.000984641,0.8550107,0.0004524207,0.0001793582,0.00008814081,0.000204205,0.0003969858,0.05549046],"genre_scores_gemma":[0.8853837,0.001403292,0.07142011,0.0001359566,0.000149212,0.0002164261,0.0002587528,0.0001465809,0.04088588],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.00387326,"threshold_uncertainty_score":0.01295733,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02194209443672119,"score_gpt":0.2059637241164834,"score_spread":0.1840216296797622,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}