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ENCIT 2018
Brazilian Congress of Thermal Sciences and Engineering
STABILITY OF A RAYLEIGH-BENARD POISEUILLE FLOW CONSIDERING A CARREAU FLUID
Submission Author:
Vítor José Jerônimo de Moraes , RJ
Co-Authors:
Vítor José Jerônimo de Moraes, Pedro Vayssiere Brandão, Leonardo Santos de Brito Alves
Presenter: Vítor José Jerônimo de Moraes
doi://10.26678/ABCM.ENCIT2018.CIT18-0602
Abstract
The present work studies through a linear stability analysis, the transition of the stable to the convective unstable state of the Rayleigh-Benard-Poiseuille problem considering a non-Newtonian fluid of the Carreau kind. This analysis consists in perturbing the problem’s stationary solution and observes the spatial and temporal perturbation behavior. The resulting problem consists in a system of differential equations which are treated as an eigenvalue problem. This problem is solved with a shooting method using the Mathematica software. The Carreau model was chosen because it is used to describe several fluids with industrial applications on the aliment, pharm, oil and other fiels.
Keywords
Non-Newtonian fluid mix convection, Convective Instability, Carreau Model
