Analysis of the 3D non-linear Stokes problem coupled to transport-diffusion for shear-thinning heterogeneous microscale flows, applications to digital rock physics and mucociliary clearance

DOI10.1051/m2an/2019013zbMath1428.35312OpenAlexW2787951519MaRDI QIDQ5242216

Laurène Hume, Robin Chatelin, Philippe Poncet, David A. Sánchez

Publication date: 6 November 2019

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2019013

zbMATH Keywords

porous mediaStokes equationsbiomechanicsmoving geometryvariable viscosity flowsrheology. shear-thinning

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Physiological flows (76Z05) General biology and biomathematics (92B05)

Related Items (2)

A velocity-vorticity method for highly viscous 3D flows with application to digital rock physics ⋮ Simulation of mineral dissolution at the pore scale with evolving fluid-solid interfaces: review of approaches and benchmark problem set

Uses Software

• MUDPACK
• MUDPACK-2

Cites Work

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