Pressure losses in the laminar flow of shear-thinning power-law fluids across a sudden axisymmetric expansion

A numerical investigation was carried out to study the laminar non-Newtonian flow through an axisymmetric sudden expansion having a diameter ratio of 1 to 2.6. The fluids were inelastic and shear thinning with a viscosity obeying the power law model. The recirculation length and strength and, most i...

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Bibliographic Details
Published in:The International journal of heat and fluid flow 2003-10, Vol.24 (5), p.747-761
Main Authors: Pinho, F.T, Oliveira, P.J, Miranda, J.P
Format: Article
Language:English
Subjects:
Exact sciences and technology
Flows in ducts, channels, nozzles, and conduits
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Non-newtonian fluid flows
Physics
Pressure loss
Recirculation length
Shear thinning
Sudden expansion
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Summary:A numerical investigation was carried out to study the laminar non-Newtonian flow through an axisymmetric sudden expansion having a diameter ratio of 1 to 2.6. The fluids were inelastic and shear thinning with a viscosity obeying the power law model. The recirculation length and strength and, most importantly, the local loss coefficient C I were quantified as a function of the inlet pipe Reynolds number and shear-thinning intensity. When using the generalised Reynolds number introduced by Metzner and Reed [AIChEJ 1 (1955) 434] ( Re gen), at low Reynolds numbers C I increased by more than 100% when n varied from 1.0 to 0.2, whereas C I decreased by more than 50% at high Reynolds numbers. However, this feature was shown to be related to the definition of the Reynolds number. A correlation between C I, Re gen and n is presented at the end.
ISSN:0142-727X
1879-2278
DOI:10.1016/S0142-727X(03)00083-3