scholarly journals Snapping elastic disks as microswimmers: swimming at low Reynolds numbers by shape hysteresis

Soft Matter ◽  
2020 ◽  
Vol 16 (30) ◽  
pp. 7088-7102
Author(s):  
Christian Wischnewski ◽  
Jan Kierfeld
Keyword(s):  
Viscous Fluid ◽  
Reynolds Numbers ◽  
Low Reynolds Numbers ◽  
Elastic Disk ◽  
Low Reynolds

An elastic disk with a snapping transition triggered by local swelling swims in a viscous fluid at low Reynolds numbers because of the hysteretic nature of the snapping transition.

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

Flow of viscous fluid over a perforated boundary at low reynolds numbers

1987 ◽  
Vol 21 (5) ◽  
pp. 822-825
Author(s):  
M. A. Brutyan ◽  
P. L. Krapivskii
Keyword(s):  
Viscous Fluid ◽  
Reynolds Numbers ◽  
Low Reynolds Numbers ◽  
Low Reynolds

The Rayleigh problem for a wavy wall

1976 ◽  
Vol 77 (2) ◽  
pp. 243-256 ◽  
Author(s):  
P. N. Shankar ◽  
U. N. Sinha
Keyword(s):  
Viscous Fluid ◽  
Perturbation Expansion ◽  
Reynolds Numbers ◽  
Wavy Wall ◽  
Low Reynolds Numbers ◽  
Fluid Field ◽  
Rayleigh Problem ◽  
Straight Wall ◽  
Low Reynolds ◽  
High Reynolds

The problem of the flow generated in a viscous fluid by the impulsive motion of a wavy wall is treated as a perturbation about the known solution for a straight wall. It is shown that, while a unified treatment for high and low Reynolds numbers is possible in principle, the two limiting cases have to be treated separately in order to get results in closed form. It is also shown that a straightforward perturbation expansion in Reynolds number is not possible because the known solution is of exponential order in that parameter. At low Reynolds numbers the waviness of the wall quickly ceases to be of importance as the liquid is dragged along by the wall. At high Reynolds numbers on the other hand, the effects of viscosity are shown to be confined to a narrow layer close to the wall and the known potential sohtion emerges in time. The latter solution is a good illustration of the interaction between a viscous fluid field and its related inviscid field.

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
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