On the motion of vortex sheets with surface tension in three-dimensional Euler equations with vorticity

2008 ◽  
Vol 61 (12) ◽  
pp. 1715-1752 ◽  
Author(s):  
Ching-Hsiao Cheng ◽  
Steve Shkoller ◽  
Daniel Coutand
Keyword(s):  
Surface Tension ◽  
Euler Equations ◽  
Three Dimensional ◽  
Vortex Sheets

Analysis of three-dimensional aerospace configurations using the Euler equations

1989 ◽  
Author(s):  
N. KROLL ◽  
C. ROSSOW ◽  
S. SCHERR ◽  
J. SCHOENE ◽  
G. WICHMANN
Keyword(s):  
Euler Equations ◽  
Three Dimensional

scholarly journals Traveling waves from the arclength parameterization: Vortex sheets with surface tension

2013 ◽  
Vol 15 (3) ◽  
pp. 359-380 ◽  
Author(s):  
Benjamin Akers ◽  
David Ambrose ◽  
J. Douglas Wright
Keyword(s):  
Surface Tension ◽  
Traveling Waves ◽  
Vortex Sheets

Investigation of Three-Dimensional Flow in Microchannels With Patterned Surfaces

2007 ◽  
Author(s):  
Auro Ashish Saha ◽  
Sushanta K. Mitra
Keyword(s):  
Surface Tension ◽  
Flow Instability ◽  
Numerical Study ◽  
Three Dimensional ◽  
Surface Characteristics ◽  
Bottom Wall ◽  
Surface Tension Effect ◽  
Hydrophobic Region ◽  
Side Walls ◽  
Dimensional Simulation

A three-dimensional numerical simulation of flow in patterned microchannel with alternate layers of hydrophilic and hydrophobic surfaces at the bottom wall is studied here. Surface characteristics of the microchannel are accounted by specifying the contact angle and the surface tension of the fluid. Meniscus profiles with varying amplitude and shapes are obtained under the different specified surface conditions. Flow instability increases as the fluid at the bottom wall traverses alternately from hydrophilic region to hydrophobic region. To understand the surface tension effect of the side walls, a two-dimensional numerical study has also been carried out for the microchannel and the results are compared with three-dimensional simulation. The surface tension effect of the side walls enhances the capillary effect for three-dimensional case.

scholarly journals The three-dimensional Euler equations: singular or non-singular?

Nonlinearity ◽  
2008 ◽  
Vol 21 (8) ◽  
pp. T123-T129 ◽  
Author(s):  
J D Gibbon ◽  
M Bustamante ◽  
R M Kerr
Keyword(s):  
Euler Equations ◽  
Three Dimensional

scholarly journals Two-dimensional vortex sheets for the nonisentropic Euler equations: Nonlinear stability

2019 ◽  
Vol 266 (9) ◽  
pp. 5397-5430 ◽  
Author(s):  
Alessandro Morando ◽  
Paola Trebeschi ◽  
Tao Wang
Keyword(s):  
Euler Equations ◽  
Nonlinear Stability ◽  
Two Dimensional ◽  
Vortex Sheets
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