The flow of power-law fluids in concentric annuli: A full analytical approximate solution

Rémi Deterre (1, 2, 3) , François Nicoleau , Qiao Lin , Nadine Allanic , Pierre Mousseau

1 IUT Nantes - Institut Universitaire de Technologie - Nantes
2 GEPEA-OSE - Optimisation - Système - Energie
3 GEPEA-MAPS2 - Matrices Aliments Procédés Propriétés Structure - Sensoriel

This work deals with the zero shear rate (maximum velocity) position parameter λ of a steady laminar axial annular flow of power-law fluids especially polymeric ones. λ is involved in the shear rate, velocity profile and the flow rate calculations, which are essential for studies such as viscous dissipation, convective heat transfer and pressure drop prediction in annuli. However, the analytical explicit expression of λ remains unsolved despite some approximate solutions. In this paper, we will provide a simple and analytically demonstrable expression of λ so that it can be used for parametric investigations, identifications, sensitivity analysis etc. in terms of industrial or laboratory applications.

Domaines: Polymères; Génie des procédés; Matériaux; Sciences de l'ingénieur [physics]

Rémi Deterre, François Nicoleau, Qiao Lin, Nadine Allanic, Pierre Mousseau. The flow of power-law fluids in concentric annuli: A full analytical approximate solution. Journal of Non-Newtonian Fluid Mechanics, 2020, 285, ⟨10.1016/j.jnnfm.2020.104392⟩. ⟨hal-02942762⟩