Self propulsion due to oscillations on the surface of a cylinder at low Reynolds number

The two-dimensional flow around an infinite cylinder at low Reynolds number has interested fluid dynamicists for many years. In this paper it is shown that an infinite cylinder can propel itself through a viscous fluid (for example micro-organisms) if it has certain undulations on its surface.

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E-24 Evaluation of Two Dimensional Wings Characteristics in Ultra Low Reynolds Number Flow Using Highly Viscous Fluid

The Proceedings of Conference of Kyushu Branch ◽

10.1299/jsmekyushu.2016.69.217 ◽

2016 ◽

Vol 2016.69 (0) ◽

pp. 217-218

Author(s):

Tomoaki KUNUGI ◽

Koichi YONEMOTO

Keyword(s):

Reynolds Number ◽

Viscous Fluid ◽

Low Reynolds Number ◽

Two Dimensional ◽

Low Reynolds Number Flow ◽

Reynolds Number Flow ◽

Number Flow ◽

Low Reynolds

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THE STEADY TWO-DIMENSIONAL FLOW OF VISCOUS FLUID AT LOW REYNOLDS NUMBERS PASSING THROUGH AN INFINITE ROW OF EQUAL PARALLEL CIRCULAR CYLINDERS

The Quarterly Journal of Mechanics and Applied Mathematics ◽

10.1093/qjmam/10.4.425 ◽

1957 ◽

Vol 10 (4) ◽

pp. 425-432 ◽

Cited By ~ 64

Author(s):

K. TAMADA ◽

H. FUJIKAWA

Keyword(s):

Viscous Fluid ◽

Reynolds Numbers ◽

Circular Cylinders ◽

Two Dimensional ◽

Low Reynolds Numbers ◽

Dimensional Flow ◽

Two Dimensional Flow ◽

Low Reynolds

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SWIMMING OF MICRO-ORGANISMS VIEWED FROM STRING AND MEMBRANE THEORIES

Modern Physics Letters A ◽

10.1142/s0217732394000976 ◽

1994 ◽

Vol 09 (13) ◽

pp. 1159-1174 ◽

Cited By ~ 2

Author(s):

MASAKO KAWAMURA ◽

AKIO SUGAMOTO ◽

SHIN’ICHI NOJIRI

Keyword(s):

Reynolds Number ◽

Incompressible Fluid ◽

Low Reynolds Number ◽

Two Dimensional ◽

Conserved Charges ◽

Vorticity Distribution ◽

Swimming Motion ◽

Low Reynolds ◽

Micro Organisms ◽

Volume Preserving

Swimming of micro-organisms is studied from a viewpoint of extended objects (strings and membranes) swimming in the incompressible fluid of low Reynolds number. The flagellated motion is analyzed in two-dimensional fluid, by using the method developed in the ciliated motion with the Joukowski transformation. Discussion is given on the conserved charges and the algebra which are associated with the area (volume)-preserving diffeomorphisms giving the swimming motion of micro-organisms. It is also suggested that the N-point string- and membrane-like amplitudes are useful for studying the collective swimming motion of micro-organisms when fluctuation of the vorticity distribution exists in the sticky or rubber-like fluid.

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Mixing in internally stirred flows

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.2008.0426 ◽

2009 ◽

Vol 465 (2104) ◽

pp. 1271-1290 ◽

Cited By ~ 4

Author(s):

P.N Shankar ◽

R Kidambi

Keyword(s):

Reynolds Number ◽

Viscous Fluid ◽

Three Dimensional ◽

Analytical Description ◽

Two Dimensional ◽

Mixing Properties ◽

Stokes Approximation ◽

Dimensional Flow ◽

Periodic Rotation ◽

Two Dimensional Flow

We consider mixing in a viscous fluid by the periodic rotation and translation of a stirrer, the Reynolds number being low enough that the Stokes approximation is valid in the unsteady, two-dimensional flow. Portions of the boundary of the container may also move to contribute to the mixing. The shapes of the stirrer and the container are arbitrary. It is shown that the recently developed embedding method for eigenfunction expansions in arbitrary domains is well suited to analyse the mixing properties of such mixers. This application depends crucially on the accurate analytical description of the complex, unsteady field. After carefully validating the proposed method against the recent results found in the literature, examples are given of how the method could be used in practice. A special advantage of the suggested method is that it can be extended to handle three-dimensional mixing flows with virtually no change in the procedure shown here.

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