Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
Stability Analysis of Viscoelastic Fluid Flows for the High Weissenberg Number
Submission Author:
Laison Junio da Silva Furlan , SP , Brazil
Co-Authors:
Laison Junio da Silva Furlan, Matheus Tozo de Araujo, Leandro Franco de Souza, Analice Costacurta Brandi, Marcio Teixeira de Mendonca
Presenter: Leandro Franco de Souza
doi://10.26678/ABCM.COBEM2019.COB2019-2036
Abstract
Hydrodynamic instability has emerged as an active field of study in non-Newtonian fluid mechanics and their study and results are being increasingly explored. The flow of non-Newtonian fluids between parallel plates is a problem of considerable practical interest and this study will be considered. In this paper, the stability of the non-stationary disturbances of viscoelastic fluid is studied through the growth rate of Tollmien-Schlichting waves for incompressible two-dimensional fluid flow in a straight channel. The mathematical model adopted for the non-Newtonian fluid stress tensor is the Giesekus model. The analysis is carried out by means of Direct Numerical Simulation (DNS) and Linear Stability Theory (LST). For the high Weissenberg number problem (HWNP), the Log-Conformation formulation was considered for the conformation tensor decomposition of the Giesekus model. In order to evaluate the maximum amplification rates and the neutral stability curves, different numerical simulations were performed by varying the non-dimensional parameters of the viscoelastic fluid flow.
Keywords
Poiseuille flow, viscoelastic fluid flow, log-conformation formulation, direct numerical simulation, Linear stability theory
