RT Journal Article
T1 Lubrication analysis of peristaltic motion in non-axisymmetric annular tubes
A1 Coenen, Wilfried
A1 Zhang, X.
A1 Sanchez Perez, Antonio Luis
AB This paper addresses peristaltic flow induced in a non-axisymmetric annular tube by a periodic small-amplitude wave of arbitrary shape propagating axially along its inner surface, assumed to be a circular cylinder. The study is motivated by recent in vivo experimental observations pertaining to the flow of cerebrospinal fluid along the perivascular spaces of cerebral arteries. The analysis employs the lubrication approximation, describing low-Reynolds-number peristaltic flow in the long-wavelength approximation. Closed-form analytic expressions are derived for the average pumping rate in infinitely long tubes and also in tubes of finite length. Consideration is also given to the transverse motion arising in non-axisymmetric tubes. For small-amplitude waves, the solution is reduced to the integration of a parameter-free Stokes-flow problem, which is solved for relevant cross-sectional shapes, with closed-form analytical results derived for thin canals.
PB Cambridge University Press
SN 0022-1120
YR 2021
FD 2021-08-25
LK https://hdl.handle.net/10016/37328
UL https://hdl.handle.net/10016/37328
LA eng
DS e-Archivo
RD 18 jul. 2024