Lubrication analysis of peristaltic motion in non-axisymmetric annular tubes
| Autor: | Wilfried Coenen, Antonio L. Sánchez, X. Zhang |
|---|---|
| Přispěvatelé: | Comunidad de Madrid |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Surface (mathematics)
Physics::Medical Physics Rotational symmetry Ingeniería Industrial Physics::Fluid Dynamics 03 medical and health sciences 0302 clinical medicine Biomedical flows Cylinder Peristaltic pumping Tube (fluid conveyance) 030304 developmental biology Physics Ingeniería Mecánica 0303 health sciences Materiales Mechanical Engineering Física Mechanics Química Condensed Matter Physics Transverse plane Flow (mathematics) Mechanics of Materials Lubrication Axial symmetry 030217 neurology & neurosurgery |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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