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Title: One-dimensional Model for Fluids of Third-grade in Tubes with Constant Radius
Authors: Carapau, Fernando
Correia, Paulo
Keywords: one-dimensional model,
third-grade model
Cosserat theory,
volume flow rate,
mean pressure gradient.
Issue Date: 2016
Publisher: Ceser Publications
Citation: Carapau, F. Correia, P., One-dimensional Model for Fluids of Third-grade in Tubes with Constant Radius, International Journal of Applied Mathematics and Statistic, Volume 55, Issue 3, pp. 1-13, 2016.
Abstract: Our goal in this paper is to extend previous results obtained for Newtonian and secondgrade fluids to third-grade fluids in the case of an axisymmetric, straight, rigid and impermeable tube with constant cross-section using a one-dimensional hierarchical model based on the Cosserat theory related to fluid dynamics. In this way we can reduce the full threedimensional system of equations for the axisymmetric unsteady motion of a non-Newtonian incompressible third-grade fluid to a system of equations depending on time and on a single spatial variable. Some numerical simulations for the volume flow rate and the the wall shear stress are presented.
ISSN: 0973-1377 (Print), 0973-7545 (Online)
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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