scholarly journals Roughening transition, surface tension and equilibrium droplet shapes in a two-dimensional Ising system

1982 ◽  
Vol 15 (3) ◽  
pp. 1055-1055 ◽  
Author(s):  
J E Avron ◽  
H van Beijeren ◽  
L S Schulman ◽  
R K P Zia
Keyword(s):  
Surface Tension ◽  
Two Dimensional ◽  
Ising System ◽  
Roughening Transition ◽  
Transition Surface

scholarly journals Nonlinear two-dimensional free surface solutions of flow exiting a pipe and impacting a wedge

2021 ◽  
Vol 126 (1) ◽  
Author(s):  
Alex Doak ◽  
Jean-Marc Vanden-Broeck
Keyword(s):  
Surface Tension ◽  
Integral Equation ◽  
Free Surface ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Two Dimensional ◽  
Numerical Schemes ◽  
Additional Advantage ◽  
Infinite Wedge ◽  
Good Agreement

AbstractThis paper concerns the flow of fluid exiting a two-dimensional pipe and impacting an infinite wedge. Where the flow leaves the pipe there is a free surface between the fluid and a passive gas. The model is a generalisation of both plane bubbles and flow impacting a flat plate. In the absence of gravity and surface tension, an exact free streamline solution is derived. We also construct two numerical schemes to compute solutions with the inclusion of surface tension and gravity. The first method involves mapping the flow to the lower half-plane, where an integral equation concerning only boundary values is derived. This integral equation is solved numerically. The second method involves conformally mapping the flow domain onto a unit disc in the s-plane. The unknowns are then expressed as a power series in s. The series is truncated, and the coefficients are solved numerically. The boundary integral method has the additional advantage that it allows for solutions with waves in the far-field, as discussed later. Good agreement between the two numerical methods and the exact free streamline solution provides a check on the numerical schemes.

scholarly journals Kelvin-Helmholtz discontinuity in two superposed viscous conducting fluids in a horizontal magnetic field

2008 ◽  
Vol 12 (3) ◽  
pp. 103-110 ◽  
Author(s):  
Aiyub Khan ◽  
Neha Sharma ◽  
P.K. Bhatia
Keyword(s):  
Magnetic Field ◽  
Surface Tension ◽  
Growth Rate ◽  
Unstable Mode ◽  
Two Dimensional ◽  
Horizontal Magnetic Field ◽  
Streaming Velocity ◽  
The Stability ◽  
Conducting Fluids ◽  
Streaming Motion

The Kelvin-Helmholtz discontinuity in two superposed viscous conducting fluids has been investigated in the taking account of effects of surface tension, when the whole system is immersed in a uniform horizontal magnetic field. The streaming motion is assumed to be two-dimensional. The stability analysis has been carried out for two highly viscous fluid of uniform densities. The dispersion relation has been derived and solved numerically. It is found that the effect of viscosity, porosity and surface tension have stabilizing influence on the growth rate of the unstable mode, while streaming velocity has a destabilizing influence on the system.

Dynamic hysteresis features in a two-dimensional mixed Ising system

2015 ◽  
Vol 379 (26-27) ◽  
pp. 1576-1583 ◽  
Author(s):  
Mehmet Ertaş ◽  
Mustafa Keskin
Keyword(s):  
Two Dimensional ◽  
Ising System ◽  
Dynamic Hysteresis

Upward ‘falling’ jets and surface tension

1957 ◽  
Vol 2 (2) ◽  
pp. 201-203 ◽  
Author(s):  
Joseph B. Keller ◽  
Mortimer L. Weitz
Keyword(s):  
Surface Tension ◽  
Incompressible Fluid ◽  
Two Dimensional ◽  
Parabolic Shape ◽  
Parabolic Trajectory ◽  
Hydraulic Theory

According to the simple hydraulic theory of jets, each particle of a jet moves independently along a parabolic trajectory. Therefore a steady jet has a parabolic shape. We wish to consider how these results are modified by surface tension. For simplicity we will consider a two-dimensional jet of incompressible fluid.

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