Development length in planar channel flows of inelastic non-Newtonian fluids

This work presents a numerical study on the development length (L = L/H) required to reach fully-developed flow conditions at the entrance of a planar channel for inelastic non-Newtonian fluids modeled by the Sisko model. The simulations were carried out for low Reynolds number flows in the range 0...

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Detalhes bibliográficos
Autor principal: Fernandes, Célio Bruno Pinto (author)
Outros Autores: Ferrás, Luís Jorge Lima (author), Araujo, M. S. (author), Nóbrega, J. M. (author)
Formato: article
Idioma:eng
Publicado em: 2018
Assuntos:
Texto completo:http://hdl.handle.net/1822/59425
País:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/59425
Descrição
Resumo:This work presents a numerical study on the development length (L = L/H) required to reach fully-developed flow conditions at the entrance of a planar channel for inelastic non-Newtonian fluids modeled by the Sisko model. The simulations were carried out for low Reynolds number flows in the range 0 < Re <= 100, for a power law index, n, in the range 1/3 <= n <= 1 and for a dimensionless infinite viscosity, <(mu)over bar>(infinity), varying in the range 0 <= (mu) over bar (infinity) <= 0.1. A new non-linear relationship between L and Re was derived, taking into account the different values of n and (mu) over bar (infinity) Moreover, new exact solutions are presented for the velocity profile under fully developed flow conditions (for specific values of n).