Non-Newtonian rheology in a capillary tube with varying radius – Archive ouverte HAL

Federico Lanza 1, 2 Alex Hansen 2 Alberto Rosso 1 Laurent Talon 3

Federico Lanza, Alex Hansen, Alberto Rosso, Laurent Talon. Non-Newtonian rheology in a capillary tube with varying radius. Transport in Porous Media, Springer Verlag, 2022. ⟨hal-03784705⟩

The flow through a capillary tube with non-constant radius and where bubbles of yield stress fluid are injected is strongly non-linear. In particular below a finite yield pressure drop, $P_y$, flow is absent, while a singular behaviour is expected above it. In this paper we compute the yield pressure drop statistics and the mean flow rate in two cases: (i) when a single bubble is injected, (ii) when many bubbles are randomly injected in the fluid.

  • 1. LPTMS – Laboratoire de Physique Théorique et Modèles Statistiques
  • 2. NTNU – Norwegian University of Science and Technology [Trondheim]
  • 3. FAST – Fluides, automatique, systèmes thermiques

Laisser un commentaire

Retour en haut