Computation of the velocity profile for nonlinearly viscous fluid flow in spiral channels with low reynolds numbers

1988 ◽  
Vol 55 (4) ◽  
pp. 1111-1117
Author(s):  
Yu. G. Nazmeev ◽  
E. K. Vachagina ◽  
A. G. Yakupov
Keyword(s):  
Fluid Flow ◽  
Velocity Profile ◽  
Viscous Fluid ◽  
Reynolds Numbers ◽  
Low Reynolds Numbers ◽  
Viscous Fluid Flow ◽  
Low Reynolds

scholarly journals The transient swimming of a waving sheet

2009 ◽  
Vol 466 (2113) ◽  
pp. 107-126 ◽  
Author(s):  
On Shun Pak ◽  
Eric Lauga
Keyword(s):  
Fluid Flow ◽  
Reynolds Numbers ◽  
Geometrical Model ◽  
Small Scale ◽  
Transient Effects ◽  
Initial Value ◽  
Low Reynolds Numbers ◽  
The Past ◽  
Low Reynolds Number Swimming ◽  
Low Reynolds

Small-scale locomotion plays an important role in biology. Different modelling approaches have been proposed in the past. The simplest model is an infinite inextensible two-dimensional waving sheet, originally introduced by Taylor, which serves as an idealized geometrical model for both spermatozoa locomotion and ciliary transport in Stokes flow. Here, we complement classic steady-state calculations by deriving the transient low-Reynolds number swimming speed of such a waving sheet when starting from rest (small-amplitude initial-value problem). We also determine the transient fluid flow in the ‘pumping’ setup where the sheet is not free to move but instead generates a net fluid flow around it. The time scales for these two problems, which in general govern transient effects in transport and locomotion at low Reynolds numbers, are also derived using physical arguments.

Flow of a viscous fluid past a flexible membrane at low Reynolds numbers

1992 ◽  
Vol 9 (5-6) ◽  
pp. 289-299 ◽  
Author(s):  
Kyoji Yamamoto ◽  
Makoto Okada ◽  
Jun-ichi Kameyama
Keyword(s):  
Viscous Fluid ◽  
Reynolds Numbers ◽  
Flexible Membrane ◽  
Low Reynolds Numbers ◽  
Low Reynolds

scholarly journals Analysis of vortices in viscoelastic fluid flow through confined geometries at low Reynolds numbers

AIP Advances ◽  
2021 ◽  
Vol 11 (8) ◽  
pp. 085213
Author(s):  
Ali Zargartalebi ◽  
Mohammad Zargartalebi ◽  
Anne M. Benneker
Keyword(s):  
Fluid Flow ◽  
Viscoelastic Fluid ◽  
Reynolds Numbers ◽  
Confined Geometries ◽  
Low Reynolds Numbers ◽  
Flow Through ◽  
Low Reynolds
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