Skip to content
DraconiticResearch
Search Sources API
186,123 studies31 sourcesUpdated 10 min ago
PreprintarXiv licencearXiv

Comment on "Note on the start-up of Couette flow for viscoelastic fluids" [Phys. Fluids 35, 113108 (2023)]

  • Ivan C. Christov
Open at sourcePDFDOICite

Abstract

I show that the initial conditions imposed by Balan [Phys. Fluids 35, 113108 (2023)] are incompatible with a nonzero retardation time, so that the problem solved is not impulsive start-up, but, as I prove exactly, the start-up of a plate ramped as 1 − e−t/λ2 on the retardation timescale λ2 (a material parameter, not a setting in a rheometer). Values digitized from that paper's viscoelastic figures fall on the ramped-plate solution, not on Tanner's start-up solution. The large negative wall normal stress reported for the corotational model is a grid-dependent artifact due to the same error in the initial data. An open-source code repository provides annotated notebooks reproducing every figure and number in this Comment.

Related

  1. Competing instabilities in wide-gap viscoelastic Taylor-Couette flow: Taylor vs. helical vortices
    Alexander Proskurin
    arXivPreprintCC BY-NC-ND 4.0Full textFluid dynamicsarXiv
  2. Geometry-Controlled Relaxation Spectra in Viscoelastic Fluids
    Niloyendu Roy, Rupayan Saha, Debankur Das +2
    arXivPreprintarXiv licenceFull textCondensed matterarXiv
  3. Data-Driven Design Optimization of Streaming-Potential-Mediated Electrokinetic Transport of Viscoelastic Fluids in Microchannels
    Ankan Basu, Sumanta Banerjee
    arXivPreprintCC BY 4.0Full textFluid dynamicsarXiv
  4. Inertialess instability of elasto-viscoplastic circular Couette flow
    James D. Shemilt, Neil J. Balmforth, Duncan R. Hewitt
    arXivPreprintarXiv licenceFull textFluid dynamicsarXiv
  5. Nonhomogeneous elastic turbulence in the two-dimensional Taylor-Couette flow
    Zhongxuan Hou, Stefano Berti, Teodor Burghelea +1
    Physical Review FluidsPeer-reviewedCC BY 4.0Full text1 citedGeneral physicsHAL

Cite

BibTeXRIS
BibTeX
@misc{christov2026comment,
  title = {{Comment on "Note on the start-up of Couette flow for viscoelastic fluids" [Phys. Fluids 35, 113108 (2023)]}},
  author = {Ivan C. Christov},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.30359},
  eprint = {2609.30359},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.30359},
}
RIS
TY  - UNPB
TI  - Comment on "Note on the start-up of Couette flow for viscoelastic fluids" [Phys. Fluids 35, 113108 (2023)]
AU  - Ivan C. Christov
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.30359
UR  - https://arxiv.org/abs/2609.30359
AB  - I show that the initial conditions imposed by Balan [Phys. Fluids 35, 113108 (2023)] are incompatible with a nonzero retardation time, so that the problem solved is not impulsive start-up, but, as I prove exactly, the start-up of a plate ramped as 1 − e^−t/λ_2 on the retardation timescale λ_2 (a material parameter, not a setting in a rheometer). Values digitized from that paper's viscoelastic figures fall on the ramped-plate solution, not on Tanner's start-up solution. The large negative wall normal stress reported for the corotational model is a grid-dependent artifact due to the same error in the initial data. An open-source code repository provides annotated notebooks reproducing every figure and number in this Comment.
ER  -