Eventos Anais de eventos
EPTT 2024
14th Spring School on Transition and Turbulence
STABILITY ANALYSIS OF OLDROYD-B FLUID PIPE FLOW
Submission Author:
Renan Manuel Pighini da Silva , GO , Brazil
Co-Authors:
Renan Manuel Pighini da Silva, Rafael de Lima Sterza, Leandro Franco de Souza, Analice Costacurta Brandi
Presenter: Renan Manuel Pighini da Silva
doi://10.26678/ABCM.EPTT2024.EPT24-0047
Abstract
Several relevant flows in practice involve viscoelastic fluids, and determining whether these flows occur in laminar or turbulent states is important. Although the hydrodynamics of viscoelastic fluids is significantly influenced by the balance between inertial and elastic forces in the flow, the impact of elasticity on the stability of inertial flows has not yet been fully clarified. In this study, we investigate the stability analysis for the incompressible three-dimensional Hagen-Poiseuille flow in a pipe. We consider a viscoelastic fluid modeled by the linear Oldroyd-B constitutive equation. Linear Stability Theory was used to analyze the stability of these viscoelastic flows against non-stationary disturbances. In the Linear Stability Theory approach, the equations are linearized to incorporate a viscoelastic fluid. Several numerical simulations were carried out, varying the dimensionless parameters of the viscoelastic fluid flow. This study aims to determine the neutral stability curves and investigate how the presence of elasticity alters the laminar-turbulent transition process within this specific tube flow configuration.
Keywords
Laminar-turbulent transition, Oldroyd-B fluid, Pipe Flow, Linear stability theory
