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Record W2030652682 · doi:10.1103/physreve.65.033201

Comment on “nonlinear viscosity and Grad’s method”

2002· letter· en· W2030652682 on OpenAlexaff
Byang Chan Eu

Bibliographic record

VenuePhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2002
Typeletter
Languageen
FieldMathematics
TopicGas Dynamics and Kinetic Theory
Canadian institutionsMcGill University
Fundersnot available
KeywordsPhysicsMathematical physicsCauchy stress tensorTensor (intrinsic definition)LogarithmViscous stress tensorVelocity gradientViscosityShear stressStress (linguistics)Mathematical analysisClassical mechanicsQuantum mechanicsMathematicsThermodynamicsPure mathematics

Abstract

fetched live from OpenAlex

In their recent paper [Phys. Rev. E 60, 4052 (1999)] Uribe and García-Colín suggest that the stress tensor associated with the nonlinear viscosity formula eta=eta(0)sinh (-1)kappa/kappa (kappa=a Rayleigh dissipation function) vanishes asymptotically as the magnitude of the velocity gradient increases. In this Comment, it is pointed out that their remark is invalid, because the stress tensor asymptotically exhibits a logarithmic kappa dependence. It is also pointed out that their evolution equations for the stress tensor components are missing the terms containing the velocity gradients in the transversal directions and, as a consequence, give rise to a vanishing shear stress, contrary to the experimental evidence of gas flow in a tube.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow), Research integrity
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: none
GenreCandidate signal: Commentary · Consensus signal: Commentary
Teacher disagreement score0.557
Threshold uncertainty score0.999

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0010.001
Meta-epidemiology (broad)0.0020.000
Bibliometrics0.0000.000
Science and technology studies0.0000.001
Scholarly communication0.0000.000
Open science0.0000.001
Research integrity0.0010.004
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.028
GPT teacher head0.356
Teacher spread0.328 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one teacher head, not a consensus.

Study designTheoretical or conceptual
Domainnot available
GenreCommentary

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations0
Published2002
Admission routes1
Has abstractyes

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