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physics.flu-dyn2026

Pressure drop-flow rate nonlinearity in bubble trains through a capillary bundle

Paolo Botticini, Davide Picchi, Santanu Sinha +1

We investigate the effective rheology of a train of elongated bubbles of negligible viscosity flowing in capillary tubes. Building upon the classical Bretherton theory for a single…

physics.flu-dyn2026

Immiscible two-phase flow in porous media: a statistical mechanics approach

Alex Hansen, Santanu Sinha

The central problem in the physics of immiscible two-phase flow in porous media is to find a proper description of the flow at scales large enough so that the medium may be regarde…

physics.flu-dyn2026

Flow of yield stress fluid in a percolating network

Nathan Abitbol, Alex Hansen, Alberto Rosso +1

We study the flow of a Bingham yield-stress fluid in a pore network model where the throats have radii drawn from a uniform distribution. We consider the case in which a fraction o…

physics.flu-dyn2026

Glassy phase transition in immiscible steady-state two-phase flow in porous media

Santanu Sinha, Humberto Carmona, José S. Andrade +1

Two-phase flow in porous media is a ubiquitous phenomenon that has been studied for well over a century. However, we still lack a successful theory that predicts flow on a macrosco…

physics.flu-dyn2025

Geometric structure of parameter space in immiscible two-phase flow in porous media

HÃ¥kon Pedersen, Alex Hansen

In a recent paper, a continuum theory of immiscible and incompressible two-phase flow in porous media based on generalized thermodynamic principles was formulated (Transport in Por…

physics.flu-dyn2025

Thermodynamics-Like Formalism for Immiscible and Incompressible Two-Phase Flow in Porous Media

Alex Hansen, Santanu Sinha

It is possible to formulate immiscible and incompressible two-phase flow in porous media in a mathematical framework resembling thermodynamics based on the Jaynes generalization of…