scholarly journals Surface Tension Model for Free-Surface Problems in SPH

2020 ◽  
Author(s):  
Petr Jančík ◽  
Tomáš Hyhlík
Keyword(s):  
Surface Tension ◽  
Free Surface ◽  
Surface Tension Model

Modified surface tension model for free surface flow with single-phase lattice Boltzmann method

2010 ◽  
Vol 14 (2) ◽  
pp. 145-149 ◽  
Author(s):  
Yong-hua Yan ◽  
Fan Yang ◽  
Zhong-dong Qian ◽  
Yue-hong Qian
Keyword(s):  
Surface Tension ◽  
Free Surface ◽  
Lattice Boltzmann Method ◽  
Lattice Boltzmann ◽  
Single Phase ◽  
Free Surface Flow ◽  
Surface Flow ◽  
Modified Surface ◽  
Boltzmann Method ◽  
Surface Tension Model

scholarly journals A model for surface tension in the meshless finite volume particle method without spurious velocity

2018 ◽  
Author(s):  
Mohsen Hassanzadeh Moghimi ◽  
Nathan Quinlan
Keyword(s):  
Surface Tension ◽  
Free Surface ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Particle Method ◽  
Surface Tension Force ◽  
Tension Force ◽  
Face Area ◽  
Volume Method ◽  
Surface Tension Model

A surface tension model has been developed in the finite volume particle method (FVPM). FVPM is a conservative, consistent, meshless particle method that incorporates properties of both smoothed particle hydrodynamics and the mesh-based finite volume method. Surface tension force is applied only on free-surface particles, which are inexpensively and robustly detected using the FVPM definition of interparticle area, analogous to cell face area in the finite volume method. We present a model in which the direction of the pairwise surface tension force is approximated by the common tangent of free-surface particle supports. The new surface tension model is implemented in 2D. The method is validated for formation of an equilibrium viscous drop from square and elliptical initial states, drops on hydrophobic and hydrophilic walls, droplet collision, and impact of a small cylinder on a liquid surface. Results are practically free from parasitic current associated with inaccurate curvature determination in some methods.

A new surface tension formulation in smoothed particle hydrodynamics for free-surface flows

2021 ◽  
pp. 110203
Author(s):  
Wen-Bin Liu ◽  
Dong-Jun Ma ◽  
Ming-Yu Zhang ◽  
An-Min He ◽  
Nan-Sheng Liu ◽  
...  
Keyword(s):  
Surface Tension ◽  
Free Surface ◽  
Smoothed Particle Hydrodynamics ◽  
Free Surface Flows ◽  
Surface Flows ◽  
Particle Hydrodynamics ◽  
Smoothed Particle

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.

A note on the instabilities of a horizontal shear flow with a free surface

2000 ◽  
Vol 406 ◽  
pp. 337-346 ◽  
Author(s):  
L. ENGEVIK
Keyword(s):  
Surface Tension ◽  
Free Surface ◽  
Shear Flow ◽  
Velocity Profile ◽  
Froude Number ◽  
The Other ◽  
Algebraic Equations ◽  
Horizontal Shear ◽  
Analytical Treatment ◽  
Unstable Region

The instabilities of a free surface shear flow are considered, with special emphasis on the shear flow with the velocity profile U* = U*0sech2 (by*). This velocity profile, which is found to model very well the shear flow in the wake of a hydrofoil, has been focused on in previous studies, for instance by Dimas & Triantyfallou who made a purely numerical investigation of this problem, and by Longuet-Higgins who simplified the problem by approximating the velocity profile with a piecewise-linear profile to make it amenable to an analytical treatment. However, none has so far recognized that this problem in fact has a very simple solution which can be found analytically; that is, the stability boundaries, i.e. the boundaries between the stable and the unstable regions in the wavenumber (k)–Froude number (F)-plane, are given by simple algebraic equations in k and F. This applies also when surface tension is included. With no surface tension present there exist two distinct regimes of unstable waves for all values of the Froude number F > 0. If 0 < F [Lt ] 1, then one of the regimes is given by 0 < k < (1 − F2/6), the other by F−2 < k < 9F−2, which is a very extended region on the k-axis. When F [Gt ] 1 there is one small unstable region close to k = 0, i.e. 0 < k < 9/(4F2), the other unstable region being (3/2)1/2F−1 < k < 2 + 27/(8F2). When surface tension is included there may be one, two or even three distinct regimes of unstable modes depending on the value of the Froude number. For small F there is only one instability region, for intermediate values of F there are two regimes of unstable modes, and when F is large enough there are three distinct instability regions.

scholarly journals Unsteady flow induced by a withdrawal point beneath a free surface

2005 ◽  
Vol 47 (2) ◽  
pp. 185-202 ◽  
Author(s):  
T. E. Stokes ◽  
G. C. Hocking ◽  
L. K. Forbes
Keyword(s):  
Surface Tension ◽  
Free Surface ◽  
Unsteady Flow ◽  
Critical Values ◽  
The Other ◽  
Withdrawal Rate ◽  
Steady Solutions

AbstractThe unsteady axisymmetric withdrawal from a fluid with a free surface through a point sink is considered. Results both with and without surface tension are included and placed in context with previous work. The results indicate that there are two critical values of withdrawal rate at which the surface is drawn directly into the outlet, one after flow initiation and the other after the flow has been established. It is shown that the larger of these values corresponds to the point at which steady solutions no longer exist.

Surface tension convection caused by free surface deformation in KTa1−xNbxO3 melts

2018 ◽  
Vol 127 ◽  
pp. 1-6
Author(s):  
Shuhui Li ◽  
Xiuhong Pan ◽  
Fei Ai ◽  
Yan Liu ◽  
Minghui Zhang
Keyword(s):  
Surface Tension ◽  
Free Surface ◽  
Surface Deformation ◽  
Free Surface Deformation

scholarly journals Experimental observations consistent with a surface tension model of gliding motility of Myxococcus xanthus.

1983 ◽  
Vol 155 (3) ◽  
pp. 1367-1371 ◽  
Author(s):  
M Dworkin ◽  
K H Keller ◽  
D Weisberg
Keyword(s):  
Surface Tension ◽  
Myxococcus Xanthus ◽  
Gliding Motility ◽  
Surface Tension Model
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