Journal
COMPTES RENDUS MECANIQUE
Volume 347, Issue 5, Pages 389-396Publisher
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.crme.2019.03.016
Keywords
Lubrication approximation; Stokes flow; Asymptotic expansions
Categories
Ask authors/readers for more resources
We extend the lubrication approximation for a viscous flow in two-dimensional channels with arbitrary shape functions and moderate aspect ratio. The higher-order model is obtained following an asymptotic analysis. Velocity and pressure profiles for the approximated model are given analytically and involve the derivatives of the shape functions of the walls up to the second order. Comparisons with full-scale simulations are given and show good agreement as well as improvements from the classical standard lubrication approximation. (C) 2019 Academie des sciences. Published by Elsevier Masson SAS.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available