On the Perturbations of Viscous Rotating Newtonian Fluids

Manuel Ortega-Rodriguez; Robert V. Wagoner

RECORD

On the Perturbations of Viscous Rotating Newtonian Fluids

Manuel Ortega-Rodriguez, Robert V. Wagoner

Astrophysics · Submitted 22 Feb 2000

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In this case, we find that viscosity causes the fundamental p- and g- modes to grow while the fundamental c-mode could have either sign of the damping rate.

how it is stated · hedged possibility 0.70 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

arXiv IDastro-ph/0002419 (version 1)

Pith ID6FCOZO54, Pith's permanent record of this paper and its review

CitationManuel Ortega-Rodriguez, Robert V. Wagoner. "On the Perturbations of Viscous Rotating Newtonian Fluids." arXiv:astro-ph/0002419 (2000). https://pith.science/paper/6FCOZO54

Claim paper

The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Open the compiled record

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,590 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.92 · human participants 0.01 · controlled comparison 0.53 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.87 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

The perturbations of weakly-viscous, barotropic, non-self-gravitating, Newtonian rotating fluids are analyzed via a single partial differential equation. The results are then used to find an expression for the viscosity-induced normal-mode complex eigenfrequency shift, with respect to the case of adiabatic perturbations. However, the effects of viscosity are assumed to have been incorporated in the unperturbed (equilibrium) model. This paper is an extension of the normal-mode formalism developed by Ipser & Lindblom for adiabatic pulsations of purely-rotating perfect fluids. The formulas derived are readily applicable to the perturbations of thin and thick accretion disks. We provide explicit expressions for thin disks, employing results from previous relativistic analyses of adiabatic normal modes of oscillation. In this case, we find that viscosity causes the fundamental p- and g- modes to grow while the fundamental c-mode could have either sign of the damping rate.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The perturbations of weakly-viscous, barotropic, non-self-gravitating, Newtonian rotating fluids are analyzed via a single partial differential equation.	contribution 0.67	0.91	0.11	asserted 1.00
s1	The results are then used to find an expression for the viscosity-induced normal-mode complex eigenfrequency shift, with respect to the case of adiabatic perturbations.	result 0.79	0.93	0.25	asserted 1.00
s2	However, the effects of viscosity are assumed to have been incorporated in the unperturbed (equilibrium) model.	limitation 0.96	0.30	0.04	asserted 0.97
s3	This paper is an extension of the normal-mode formalism developed by Ipser & Lindblom for adiabatic pulsations of purely-rotating perfect fluids.	background 0.77	0.39	0.05	asserted 1.00
s4	The formulas derived are readily applicable to the perturbations of thin and thick accretion disks.	contribution 0.44	0.55	0.08	asserted 0.94
s5	We provide explicit expressions for thin disks, employing results from previous relativistic analyses of adiabatic normal modes of oscillation.	contribution 0.74	0.85	0.06	asserted 1.00
s6	In this case, we find that viscosity causes the fundamental p- and g- modes to grow while the fundamental c-mode could have either sign of the damping rate.	result 1.00	0.93	0.47	hedged possibility 0.70

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read

arXiv listing abstract v1

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

The perturbations of weakly-viscous, barotropic, non-self-gravitating, Newtonian rotating fluids are analyzed via a single partial differential equation. The results are then used to find an expression for the viscosity-induced normal-mode complex eigenfrequency shift, with respect to the case of adiabatic perturbations. However, the effects of viscosity are assumed to have been incorporated in the unperturbed (equilibrium) model. This paper is an extension of the normal-mode formalism developed by Ipser & Lindblom for adiabatic pulsations of purely-rotating perfect fluids. The formulas derived are readily applicable to the perturbations of thin and thick accretion disks. We provide explicit expressions for thin disks, employing results from previous relativistic analyses of adiabatic normal modes of oscillation. In this case, we find that viscosity causes the fundamental p- and g- modes to grow while the fundamental c-mode could have either sign of the damping rate.

Human review

How Pith checks papers → · Full audit of this paper →

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.