Understanding transport phenomena in multiphase systems is essential for applications ranging from thermal management to flow in porous media
Thursday, May 28
14:00
E001
Visio
In this talk I will present two studies on heat and mass transfer in thin-film flows within a unified reduced-order modelling framework.
The first examines heat transfer in a core-annular laminar flow under a uniform wall heat flux. Via two-scale asymptotic analysis, we derive effective descriptions for the liquid–liquid and gas–liquid configurations, highlighting the role of conductivity contrast in interfacial thermal coupling and obtaining closed-form expressions for the Nusselt number.
The second examines the effective rheology of a train of elongated bubbles of negligible viscosity in capillary tubes and in a bundle of non-interacting capillaries. We characterize its nonlinear pressure drop–flow rate relation and its deviations from Darcy’s law in terms of the bubble distribution and the statistical properties of the pore structure, showing qualitative agreement with the effective exponents reported in the porous media literature.
Overall, both studies show how small-scale features can be systematically upscaled into macroscopic laws, yielding simplified yet physically insightful descriptions grounded in first principles.