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arXiv · 2609.10649

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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Taofiq Omoniyi Amoloye, Leke Thaddeus Oladimeji, Mahmoud A. Hayajnh, Olalekan Adebayo Olayemi. 2026-09-09. An exposition on some viscosity dependent issues in refined potential flow theory. https://arxiv.org/abs/2609.10649

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