The equations of potential flow of compressible viscous fluid at low Reynolds number

1994 ◽  
Vol 37 (1-2) ◽  
pp. 77-81 ◽  
Author(s):  
A. V. Kazhikhov
Keyword(s):  
Reynolds Number ◽  
Viscous Fluid ◽  
Potential Flow ◽  
Low Reynolds Number ◽  
Compressible Viscous Fluid ◽  
Low Reynolds

scholarly journals Swimming with a cage: low-Reynolds-number locomotion inside a droplet

Soft Matter ◽  
2017 ◽  
Vol 13 (17) ◽  
pp. 3161-3173 ◽  
Author(s):  
Shang Yik Reigh ◽  
Lailai Zhu ◽  
François Gallaire ◽  
Eric Lauga
Keyword(s):  
Reynolds Number ◽  
Viscous Fluid ◽  
Low Reynolds Number ◽  
Low Reynolds ◽  
Comparable Size

Inspired by recent experiments using synthetic microswimmers to manipulate droplets, we investigate the low-Reynolds-number locomotion of a model swimmer (a spherical squirmer) encapsulated inside a droplet of a comparable size in another viscous fluid.

On the flow past a sphere at low Reynolds number

1969 ◽  
Vol 37 (4) ◽  
pp. 751-760 ◽  
Author(s):  
W. Chester ◽  
D. R. Breach ◽  
Ian Proudman
Keyword(s):  
Reynolds Number ◽  
Viscous Fluid ◽  
Low Reynolds Number ◽  
Incompressible Viscous Fluid ◽  
Euler’S Constant ◽  
Stokes Drag ◽  
Flow Past ◽  
Low Reynolds ◽  
Euler's Constant ◽  
Flow Past A Sphere

The flow of an incompressible, viscous fluid past a sphere is considered for small values of the Reynolds number. In particular the drag is found to be given by \[ D = D_s\{1+{\textstyle\frac{3}{8}}R+{\textstyle\frac{9}{40}}R^2(\log R+\gamma + {\textstyle\frac{5}{3}}\log 2 - {\textstyle\frac{323}{360}})+{\textstyle\frac{27}{80}}R^3\log R+O(R^3)\}, \] where Ds is the Stokes drag, R is the Reynolds number and γ is Euler's constant.

Low Reynolds number motion of bubbles, drops and rigid spheres through fluid–fluid interfaces

1995 ◽  
Vol 287 ◽  
pp. 279-298 ◽  
Author(s):  
Michael Manga ◽  
H. A. Stone
Keyword(s):  
Reynolds Number ◽  
Viscous Fluid ◽  
Laboratory Experiments ◽  
Low Reynolds Number ◽  
Deformation Characteristic ◽  
Boundary Integral ◽  
Fluid Interface ◽  
Rigid Spheres ◽  
Low Reynolds ◽  
Pass Through

The low Reynolds number buoyancy-driven translation of a deformable drop towards and through a fluid–fluid interface is studied using boundary integral calculations and laboratory experiments. The Bond numbers characteristic of both the drop and the initially flat fluid–fluid interface are sufficiently large that the drop and interface become highly deformed, substantial volumes of fluid may be entrained across the interface, and breakup of both interfaces may occur. Specifically, drops passing from a higher- to lower-viscosity fluid are extended vertically as they pass through the interface. For sufficiently large drop Bond numbers, the drop may deform continuously, developing either an elongating tail or enlarging cavity at the back of the drop, analogous to the deformation characteristic of a single deformable drop in an unbounded fluid. The film of fluid between the drop and interface thins most rapidly for those cases that the drop enters a more viscous fluid or has a viscosity lower than the surrounding fluids. In the laboratory experiments, bubbles entering a less viscous fluid are extended vertically and may break into smaller bubbles. The column of fluid entrained by particles passing through the interface may also break into drops. Further experiments with many rigid particles indicate that the spatial distribution of particles may change as the particles pass through interfaces: particles tend to form clusters.

Influence of Lateral Walls on Peristaltic Flow in a Rectangular Duct

2005 ◽  
Vol 127 (4) ◽  
pp. 824-827 ◽  
Author(s):  
M. V. Subba Reddy ◽  
Manoranjan Mishra ◽  
S. Sreenadh ◽  
A. Ramachandra Rao
Keyword(s):  
Reynolds Number ◽  
Aspect Ratio ◽  
Viscous Fluid ◽  
Poiseuille Flow ◽  
Low Reynolds Number ◽  
Peristaltic Flow ◽  
Rectangular Duct ◽  
Long Wavelength ◽  
Low Reynolds ◽  
Lateral Walls

The flow of a viscous fluid due to symmetric peristaltic waves propagating on the horizontal sidewalls of a rectangular duct is studied under the assumptions of long wavelength and low Reynolds number. The effect of aspect ratio β, ratio of height to width, on the pumping characteristics is discussed in detail. The results are compared to with those corresponding to Poiseuille flow.

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

1971 ◽  
Vol 5 (2) ◽  
pp. 255-264 ◽  
Author(s):  
J.R. Blake
Keyword(s):  
Reynolds Number ◽  
Viscous Fluid ◽  
Low Reynolds Number ◽  
Infinite Cylinder ◽  
Two Dimensional ◽  
Dimensional Flow ◽  
Two Dimensional Flow ◽  
Low Reynolds ◽  
Micro Organisms

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.

Experimental Investigation on Blunt-Edged UTM Delta Wing VFE-2 Configurations at Low Reynolds Number

2018 ◽  
Vol 12 (3) ◽  
pp. 255
Author(s):  
Muhammad Zal Aminullah Daman Huri ◽  
Shabudin Bin Mat ◽  
Mazuriah Said ◽  
Shuhaimi Mansor ◽  
Md. Nizam Dahalan ◽  
...  
Keyword(s):  
Experimental Investigation ◽  
Reynolds Number ◽  
Delta Wing ◽  
Low Reynolds Number ◽  
Low Reynolds
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