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PreprintCC BY-NC-SA 4.0arXiv

An exposition on some viscosity dependent issues in refined potential flow theory

  • Taofiq Omoniyi Amoloye
  • Leke Thaddeus Oladimeji
  • Mahmoud A. Hayajnh
  • Olalekan Adebayo Olayemi
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Abstract

This study evaluates viscosity-dependent limitations in refined potential flow theory (RPT) applied to incompressible flow over an impulsively started circular cylinder. RPT adapts classical potential flow theory to account for viscous effects, flow fluctuations, and three-dimensional variables. By utilizing a quasi-irrotational viscous stream function, the framework solves the continuity and Navier-Stokes equations while satisfying both free-stream and no-slip boundary conditions.

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Cite

BibTeXRIS
BibTeX
@misc{amoloye2026exposition,
  title = {{An exposition on some viscosity dependent issues in refined potential flow theory}},
  author = {Taofiq Omoniyi Amoloye and Leke Thaddeus Oladimeji and Mahmoud A. Hayajnh and Olalekan Adebayo Olayemi},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.10649},
  eprint = {2609.10649},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.10649},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - An exposition on some viscosity dependent issues in refined potential flow theory
AU  - Taofiq Omoniyi Amoloye
AU  - Leke Thaddeus Oladimeji
AU  - Mahmoud A. Hayajnh
AU  - Olalekan Adebayo Olayemi
PY  - 2026
DA  - 2026/09/09
PB  - arXiv
DO  - 10.48550/arxiv.2609.10649
UR  - https://arxiv.org/abs/2609.10649
AB  - This study evaluates viscosity-dependent limitations in refined potential flow theory (RPT) applied to incompressible flow over an impulsively started circular cylinder. RPT adapts classical potential flow theory to account for viscous effects, flow fluctuations, and three-dimensional variables. By utilizing a quasi-irrotational viscous stream function, the framework solves the continuity and Navier-Stokes equations while satisfying both free-stream and no-slip boundary conditions.
ER  -