Pith. sign in

REVIEW 1 cited by

Linear stability of pipe Poiseuille flow at high Reynolds number regime

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1910.14245 v1 pith:VT26PJFF submitted 2019-10-31 math.AP

Qi Chen , Dongyi Wei , Zhifei Zhang This is my paper · ORCID
classification math.AP
keywords flowpipereynoldsstabilityhighlinearnumberpoiseuille
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

In this paper, we prove the linear stability of the pipe Poiseuille flow for general perturbations at high Reynolds number regime. This is a long-standing problem since the experiments of Reynolds in 1883. Our work lays a foundation for the theoretical analysis of hydrodynamic stability of pipe flow, which is one of the oldest yet unsolved problems of fundamental fluid dynamics.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the stability of laminar flows between plates

    math-ph 2019-08 conditional novelty 7.0 of 10

    Monotone shear flows that are either nearly linear or have no inflection point are linearly stable in the large Reynolds limit, in a periodic channel with no-slip or traction boundary conditions.

Pith tools