The coherent structures of EVP Fluid Flow Past a Circular Cylinder

Fuente: arXiv
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Autori principali: Corrochano, Adrián, Iqbal, Kazi Tassawar, Parvar, Saeed, Clainche, Soledad Le, Tammisola, Outi
Natura: Preprint
Pubblicazione: 2025
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author Corrochano, Adrián
Iqbal, Kazi Tassawar
Parvar, Saeed
Clainche, Soledad Le
Tammisola, Outi
author_facet Corrochano, Adrián
Iqbal, Kazi Tassawar
Parvar, Saeed
Clainche, Soledad Le
Tammisola, Outi
contents This study investigates the impact of elasticity and plasticity on two-dimensional flow past a circular cylinder at Reynolds number $Re = 100$. Ten direct numerical simulations were performed using the Saramito-Herschel-Bulkley model to represent viscoelastic and elastoviscoplastic (EVP) fluids. The flow evolves from a periodic von Kármán vortex street to chaotic-like regimes. Proper Orthogonal Decomposition (POD) and Higher Order Dynamic Mode Decomposition (HODMD) are applied to extract dominant flow structures and their temporal dynamics. For viscoelastic fluids, increasing the Weissenberg number $Wi$ elongates the recirculation bubble and shifts it downstream, resulting in more intricate but still periodic behavior. In EVP fluids, seven cases explore variations in Bingham number Bn, solvent viscosity ratio $β_s$, and power law index n, aiming to qualitatively assess their influence rather than determine critical thresholds. Results indicate that stronger plastic effects, especially with n>1, lead to increased flow complexity. Three dynamic regimes are identified: (i) periodic; (ii) transitional, with elongated recirculation and disrupted periodicity; and (iii) fully complex, with breakdown of recirculation. Overall, the study highlights the interplay between inertia, elasticity, and yield stress in non-Newtonian flows past obstacles and identifies key parameters driving the transition from periodic to complex regimes.
format Preprint
id arxiv_https___arxiv_org_abs_2508_03362
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The coherent structures of EVP Fluid Flow Past a Circular Cylinder
Corrochano, Adrián
Iqbal, Kazi Tassawar
Parvar, Saeed
Clainche, Soledad Le
Tammisola, Outi
Fluid Dynamics
This study investigates the impact of elasticity and plasticity on two-dimensional flow past a circular cylinder at Reynolds number $Re = 100$. Ten direct numerical simulations were performed using the Saramito-Herschel-Bulkley model to represent viscoelastic and elastoviscoplastic (EVP) fluids. The flow evolves from a periodic von Kármán vortex street to chaotic-like regimes. Proper Orthogonal Decomposition (POD) and Higher Order Dynamic Mode Decomposition (HODMD) are applied to extract dominant flow structures and their temporal dynamics. For viscoelastic fluids, increasing the Weissenberg number $Wi$ elongates the recirculation bubble and shifts it downstream, resulting in more intricate but still periodic behavior. In EVP fluids, seven cases explore variations in Bingham number Bn, solvent viscosity ratio $β_s$, and power law index n, aiming to qualitatively assess their influence rather than determine critical thresholds. Results indicate that stronger plastic effects, especially with n>1, lead to increased flow complexity. Three dynamic regimes are identified: (i) periodic; (ii) transitional, with elongated recirculation and disrupted periodicity; and (iii) fully complex, with breakdown of recirculation. Overall, the study highlights the interplay between inertia, elasticity, and yield stress in non-Newtonian flows past obstacles and identifies key parameters driving the transition from periodic to complex regimes.
title The coherent structures of EVP Fluid Flow Past a Circular Cylinder
topic Fluid Dynamics
url https://arxiv.org/abs/2508.03362