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ENCIT 2020
18th Brazilian Congress of Thermal Sciences and Engineering
THE CHOICE OF THE CONSTITUTIVE EQUATION AND ITS EFFECT ON THE PLANAR CHANNEL FLOW SOLUTION
Submission Author:
Luiz Paulo Borges Miranda , MG , Brazil
Co-Authors:
Luiz Paulo Borges Miranda, Daniel Dall Onder dos Santos, Flavia Zinani
Presenter: Luiz Paulo Borges Miranda
doi://10.26678/ABCM.ENCIT2020.CIT20-0381
Abstract
In the present work, fourteen constitutive functions were used to evaluate their effects over the flow parameters of a fully developed flow in a planar channel with an imposed pressure gradient. A virtual set of rheological data was created using the modified SMD constitutive function. Then, this virtual set was used at curve fitting process with fourteen constitutive functions. The parameters of the fitted curves were used to semi-analytically solve the fully developed flow in a planar channel with an imposed pressure gradient. The pressure gradients were chosen to kept the Reynolds number of the flow under the range of Re < 100, assuring the laminar regime. The r2 of the fitting process and the flow rate (Q) were compared, searching for a convergence between the models. There is only convergence of results in some particular cases, and usually the difference of flow rate between models is higher than 10%. For this range of Reynolds number, some constitutive functions can not achieve the high shear rate plateau, decreasing the influence of these parameters and allowing models with less parameters to have an equivalent or even better better fit.
Keywords
semi analytic solution, viscoplastic behavior, planar channel, fully developed flow
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