SFB 1313 Publication: "On an averaged model for immiscible two-phase flow with surface tension and dynamic contact angle in a thin strip"

April 16, 2021 /

Authors: Stephan B. Lunowa, Carina Bringedal, Iuliu Sorin Pop
Scientific Journal: Studies in Applied Mathematics - Wiley Online Library

New publication, published in Studies in Applied Mathematics - Wiley Online Library. The paper is a cooperation between the Hasselt University, the Research Foundation Flanders and SFB 1313 (research projects A05 and C02) of the University of Stuttgart.

"On an averaged model for immiscible two-phase flow with surface tension and dynamic contact angle in a thin strip"

Authors
Abstract

We consider a model for the flow of two immiscible fluids in a two‐dimensional thin strip of varying width. This represents an idealization of a pore in a porous medium. The interface separating the fluids forms a freely moving interface in contact with the wall and is driven by the fluid flow and surface tension. The contact‐line model incorporates Navier‐slip boundary conditions and a dynamic and possibly hysteretic contact angle law. We assume a scale separation between the typical width and the length of the thin strip. Based on asymptotic expansions, we derive effective models for the two‐phase flow. These models form a system of differential algebraic equations for the interface position and the total flux. The result is Darcy‐type equations for the flow, combined with a capillary pressure–saturation relationship involving dynamic effects. Finally, we provide some numerical examples to show the effect of a varying wall width, of the viscosity ratio, of the slip boundary condition as well as of having a dynamic contact angle law.

SFB 1313 Publication: "On an averaged model for immiscible two-phase flow with surface tension and dynamic contact angle in a thin strip"

This image shows Carina Bringedal

Carina Bringedal

Ass. Prof. Dr.

Participating Researcher, Research Project A05

This image shows Sorin Iuliu Pop

Sorin Iuliu Pop

Prof. Dr.

Participating Researcher, Research Project C02, Mercator Fellow

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