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ENCIT 2020
18th Brazilian Congress of Thermal Sciences and Engineering
Asymptotic analysis for a Carreau-Yasuda fluid 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.ENCIT2020.CIT20-0608
Abstract
This work is based, and contain fragments, of the study of a film flow driven by gravity over an inclined plane where the fluid rheology is given by the Carreau-Yasuda model, presented in \cite{chimetta2020analytical}. The authors present an review with the most relevant works in rheology and hydrodynamic stability that were necessary for this work. A brief review of the Carreau-Yasuda model is presented, together with the continuity and momentum equations. For the development of the temporal stability analysis, a small perturbation technique was used. An asymptotic solution is presented for the reference flow and the stability problem. This solution is obtained with a symbolic code written in the Wolfram Mathematica environment. Reference flow gives the velocity profile and the film thickness, while the instability problem produces the celerity and growth rate for the surface waves.
Keywords
gravitational flow, Non-Newtonian fluid, Carreau-Yasuda model, Asymptotic solution
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