The coherent structures of EVP Fluid Flow Past a Circular Cylinder

TL;DR

This paper explores how elasticity and plasticity influence two-dimensional EVP fluid flow past a circular cylinder at Re=100, revealing flow regime transitions and complex structures using advanced decomposition techniques.

Contribution

It introduces a detailed numerical analysis of EVP fluids around a cylinder, highlighting the effects of elasticity and plasticity on flow regimes and structures, which was not extensively studied before.

Findings

Increasing Weissenberg number elongates recirculation zones.

Stronger plastic effects lead to more flow complexity.

Three flow regimes identified: periodic, transitional, and complex.

Abstract

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 K\'arm\'an 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 $\beta_s$, 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.