TY - JOUR
T1 - Extension of the lubrication theory for arbitrary wall shape
T2 - An asymptotic analysis
AU - Hinojosa, Rogers Bill Cordova
AU - Pham, Kim
AU - Rouby, Corinne
N1 - Publisher Copyright:
© 2019 Académie des sciences
PY - 2019/5/1
Y1 - 2019/5/1
N2 - 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.
AB - 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.
KW - Asymptotic expansions
KW - Lubrication approximation
KW - Stokes flow
U2 - 10.1016/j.crme.2019.03.016
DO - 10.1016/j.crme.2019.03.016
M3 - Article
AN - SCOPUS:85064407747
SN - 1631-0721
VL - 347
SP - 389
EP - 396
JO - Comptes Rendus - Mecanique
JF - Comptes Rendus - Mecanique
IS - 5
ER -