Estimating nonstationary planingof a round cylinder along the disturbed fluid surface

2021 ◽  
Vol 6 (3) ◽  
pp. 338-346
Author(s):  
V.I. Pegov ◽  
I.Yu. Moshkin ◽  
A.D. Cheshko
Keyword(s):  
Fluid Surface ◽  
Round Cylinder

scholarly journals Ancient solutions for Andrews’ hypersurface flow

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Peng Lu ◽  
Jiuru Zhou
Keyword(s):  
Ricci Flow ◽  
Mean Curvature ◽  
Mean Curvature Flow ◽  
Curvature Flow ◽  
Euclidean Spaces ◽  
Round Cylinder ◽  
Ancient Solutions ◽  
Singular Time

AbstractWe construct the ancient solutions of the hypersurface flows in Euclidean spaces studied by B. Andrews in 1994.As time {t\rightarrow 0^{-}} the solutions collapse to a round point where 0 is the singular time. But as {t\rightarrow-\infty} the solutions become more and more oval. Near the center the appropriately-rescaled pointed Cheeger–Gromov limits are round cylinder solutions {S^{J}\times\mathbb{R}^{n-J}}, {1\leq J\leq n-1}. These results are the analog of the corresponding results in Ricci flow ({J=n-1}) and mean curvature flow.

Surface Rheology III. Stress on a Spherical Fluid Surface

1988 ◽  
Vol 32 (5) ◽  
pp. 473-484 ◽  
Author(s):  
D. A. Edwards ◽  
D. T. Wasan
Keyword(s):  
Surface Rheology ◽  
Fluid Surface ◽  
Spherical Fluid

Measurement of Burst Pressure of Capillary Burst Valve

2010 ◽  
Author(s):  
Hong Chen ◽  
Toru Yamada ◽  
Mohammad Faghri
Keyword(s):  
Surface Tension ◽  
Solid Surface ◽  
Burst Pressure ◽  
Surface Tensions ◽  
Fluid Surface ◽  
Mechanical Components

Capillary burst valve (CBV), a counterpart to an elastomeric diaphragm microvalve, handles fluid in microchannels by capillarity. Thus, it avoids integration of mechanical components. We experimentally estimated the burst pressure, beyond which CBV cannot hold fluid, using fluids with distinct surface tensions in CBVs grafted with distinct surface constitutions in microchannels. We found that both the fluid surface tension and the solid surface constitution influence the burst pressure. The burst pressure reduces more significantly under the influence of the fluid surface tension.

Threshold of parametric excitation of waves on a fluid surface

1989 ◽  
Vol 29 (4) ◽  
pp. 512-517 ◽  
Author(s):  
A. V. Rodishevskii ◽  
V. V. Savel'ev ◽  
V. B. Cherepanov
Keyword(s):  
Parametric Excitation ◽  
Fluid Surface
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