Eventos Anais de eventos
ENCIT 2018
Brazilian Congress of Thermal Sciences and Engineering
An Algorithm for Solving an Implicit Solution for Fully Developed Flow in a Channel of a Giesekus Fluid
Submission Author:
Matheus Tozo de Araujo , PR
Co-Authors:
Matheus Tozo de Araujo, Arianne Silva, Leandro Franco de Souza, Gilcilene Sanchez de Paulo, Laison Junio da Silva Furlan, Analice Costacurta Brandi
Presenter: Matheus Tozo de Araujo
doi://10.26678/ABCM.ENCIT2018.CIT18-0826
Abstract
This work presents the development of a semi-analytical solution of the Giesekus constitutive equation that is compared to the numerical solution obtained with a Direct Numerical Simulation (DNS) code where the governing equations are written in a vorticity-velocity formulation. The numerical simulation is applied to a two-dimensional viscoelastic fluid flow in a straight channel using a high-order compact finite difference scheme for the spatial derivatives discretization. The semi-analytical solution is used to study the minimal distance necessary to achieve the developed solution in the non-Newtonian flow. The results show the Reynolds and Weissenberg number influence to this minimal distance.
Keywords
Semi-analytical Solution, Giesekus fluid, Straight channel flow, direct numerical simulation
