Transmission of a sound beam across a two‐fluid interface: Numerical results and asymptotic expressions

1989 ◽  
Vol 85 (1) ◽  
pp. 24-38 ◽  
Author(s):  
Jacqueline Naze Tjo/tta ◽  
Hanne Sagen ◽  
Sigve Tjo/tta
Keyword(s):  
Numerical Results ◽  
Fluid Interface ◽  
Sound Beam ◽  
Asymptotic Expressions ◽  
Two Fluid

Transmission and reflection of a real sound beam at a two‐fluid interface

1989 ◽  
Vol 85 (S1) ◽  
pp. S93-S93
Author(s):  
Jacqueline Naze Tjøtta ◽  
Hans‐Christen Salvesen ◽  
Sigve Tjøtta
Keyword(s):  
Fluid Interface ◽  
Sound Beam ◽  
Two Fluid ◽  
Transmission And Reflection

Interaction of a sound beam with a two‐fluid interface

1987 ◽  
Vol 82 (S1) ◽  
pp. S78-S78
Author(s):  
Jacqueline Naze Tjøtta ◽  
Hanne Sagen ◽  
Sigve Tjøtta
Keyword(s):  
Fluid Interface ◽  
Sound Beam ◽  
Two Fluid

On the shape of small sessile and pendant drops by singular perturbation techniques

1991 ◽  
Vol 233 ◽  
pp. 519-537 ◽  
Author(s):  
S. B. G. O'Brien
Keyword(s):  
Boundary Layer ◽  
Singular Perturbation ◽  
Asymptotic Expansions ◽  
Numerical Results ◽  
Matched Asymptotic Expansions ◽  
Perturbation Techniques ◽  
Pendant Drop ◽  
Asymptotic Expressions ◽  
Good Agreement ◽  
Pendant Drops

The problem of obtaining asymptotic expressions describing the shape of small sessile and pendant drops is revisited. Both cases display boundary-layer behaviour and the method of matched asymptotic expansions is used to obtain solutions. These give good agreement when compared with numerical results. The sessile solutions are relatively straightforward, while the pendant drop displays a behaviour which is both rich and interesting.

scholarly journals The Magnetic Field of a Current Loop Encircling an Axisymmetric Iron Core

1976 ◽  
Vol 29 (2) ◽  
pp. 1 ◽  
Author(s):  
RL Dewar
Keyword(s):  
Convergent Series ◽  
Numerical Results ◽  
Current Loop ◽  
Iron Core ◽  
Air Gaps ◽  
The Core ◽  
Asymptotic Expressions ◽  
Transformer Core ◽  
A Current ◽  
Straight Rod

The effect of an iron transformer core on the field of a current loop is examined for two models of the core: (1) An infinite straight rod of high permeability aligned along the axis of symmetry, for which asymptotic expressions for the effect of the core are obtained and compared with numerical results. (2) A rectangular toroidal iron casing surrounding the loop. The latter model is more realistic because a return path is provided for the flux. For this model, the effect of air gaps is considered, and rapidly convergent series are obtained and numerical results are given. The significance of these results for tokamak equilibrium is indicated.

Buoyancy flow at a two-fluid interface in a porous medium: Analytical studies

1988 ◽  
Vol 24 (4) ◽  
pp. 493-506 ◽  
Author(s):  
Göran Hellström ◽  
Chin-Fu Tsang ◽  
Johan Claesson
Keyword(s):  
Porous Medium ◽  
Fluid Interface ◽  
Buoyancy Flow ◽  
Analytical Studies ◽  
Two Fluid

Two-Fluid Electroosmotic Flow in Microchannels

2008 ◽  
Author(s):  
T. N. Wong ◽  
Y. Gao ◽  
C. Wang ◽  
C. Yang ◽  
N. T. Nguyen ◽  
...  
Keyword(s):  
Electric Field ◽  
Applied Electric Field ◽  
Electroosmotic Flow ◽  
Viscosity Ratio ◽  
Experimental Investigations ◽  
Fluid Interface ◽  
Surface Charges ◽  
Interface Position ◽  
Proposed Model ◽  
Two Fluid

This paper presents theoretical and experimental investigations of the pressure-driven two-liquid flow in microchannels with the electroosmosis effect. For a fully developed, steady state, laminar flow of two liquids combined the pressure gradient, electroosmosis and surface charges at the liquid-liquid interface, we have derived analytical solutions that relate the velocity profiles and flow rates to the liquid holdup, the aspect ratio of the microchannel, the viscosity ratio of the two liquids and the externally applied electric field. It was shown that adjusting the externally applied electric field could control the fluid interface position precisely. The prediction from the proposed model compares very well with measured data.

Sign in / Sign up

Export Citation Format

Share Document