Eventos Anais de eventos
ENCIT 2018
Brazilian Congress of Thermal Sciences and Engineering
Asymptotic solutions for a Carreau-Yasuda film flow driven by gravity over an inclined plane.
Submission Author:
Bruno Pelisson Chimetta , SP
Co-Authors:
Bruno Pelisson Chimetta, Erick de Moraes Franklin
Presenter: Bruno Pelisson Chimetta
doi://10.26678/ABCM.ENCIT2018.CIT18-0029
Abstract
The aim of this work is to study the base flow and the temporal stability of a liquid layer driven by gravity where the fluid rheology respects the Carreau-Yasuda model. We present a review of some important works about the stability of fluid flows driven by gravity, especially those which deals with non-Newtonian fluids. In addition, we present a brief explanation of the Carreau-Yasuda model, which gives a better approximation about the rheological behavior of a generalized Newtonian fluid in the presence of a free surface. Also, we present the most important equations that are necessary in order to study base state and the temporal stability of the physical problem. In order to solve the stability problem, an asymptotic expansion with long-wave approximation was developed focusing on the zero-order solution as a preliminary result. Finally, we show the solutions obtained with the asymptotic approach for the reference flow, film thickness, and the stability problem.
Keywords
Gravity Flow, Generalized Newtonian fluid, Carreau-Yasuda model, Temporal Stability, Asymptotic method
