scholarly journals Parameter Interpretation and Reduction for a Unified Statistical Mechanical Surface Tension Model

2015 ◽  
Vol 6 (17) ◽  
pp. 3384-3389 ◽  
Author(s):  
Hallie Boyer ◽  
Anthony Wexler ◽  
Cari S. Dutcher
Keyword(s):  
Surface Tension ◽  
Statistical Mechanical ◽  
Mechanical Surface ◽  
Surface Tension Model ◽  
Parameter Interpretation

Statistical mechanical calculations of the surface tension of fluids

1975 ◽  
Vol 63 (8) ◽  
pp. 3295-3301 ◽  
Author(s):  
S. J. Salter ◽  
H. T. Davis
Keyword(s):  
Surface Tension ◽  
Statistical Mechanical

A new algorithm for surface tension model in moving particle methods

2007 ◽  
Vol 55 (3) ◽  
pp. 225-240 ◽  
Author(s):  
Shuai Zhang ◽  
Koji Morita ◽  
Kenji Fukuda ◽  
Noriyuki Shirakawa
Keyword(s):  
Surface Tension ◽  
Particle Methods ◽  
Moving Particle ◽  
Surface Tension Model

Spreading-Droplet Simulation With Surface Tension Model Using Inter-Particle Force in Particle Method

2013 ◽  
Author(s):  
Eiji Ishii ◽  
Taisuke Sugii
Keyword(s):  
Surface Tension ◽  
Contact Angle ◽  
Dynamic Contact Angle ◽  
Particle Method ◽  
Dynamic Contact ◽  
Contact Angles ◽  
Particle Methods ◽  
Static Contact ◽  
Particle Force ◽  
Surface Tension Model

Predicting the spreading behavior of droplets on a wall is important for designing micro/nano devices used for reagent dispensation in micro-electro-mechanical systems, printing processes of ink-jet printers, and condensation of droplets on a wall during spray forming in atomizers. Particle methods are useful for simulating the behavior of many droplets generated by micro/nano devices in practical computational time; the motion of each droplet is simulated using a group of particles, and no particles are assigned in the gas region if interactions between the droplets and gas are weak. Furthermore, liquid-gas interfaces obtained from the particle method remain sharp by using the Lagrangian description. However, conventional surface tension models used in the particle methods are used for predicting the static contact angle at a three-phase interface, not for predicting the dynamic contact angle. The dynamic contact angle defines the shape of a spreading droplet on a wall. We previously developed a surface tension model using inter-particle force in the particle method; the static contact angle of droplets on the wall was verified at various contact angles, and the heights of droplets agreed well with those obtained theoretically. In this study, we applied our surface tension model to the simulation of a spreading droplet on a wall. The simulated dynamic contact angles for some Weber numbers were compared with those measured by Šikalo et al, and they agreed well. Our surface tension model was useful for simulating droplet motion under static and dynamic conditions.

Solder Joint Formation in Surface Mount Technology—Part II: Design

1990 ◽  
Vol 112 (3) ◽  
pp. 219-222 ◽  
Author(s):  
S. M. Heinrich ◽  
N. J. Nigro ◽  
A. F. Elkouh ◽  
P. S. Lee
Keyword(s):  
Surface Tension ◽  
Solder Joint ◽  
Solder Joints ◽  
Cross Sectional Area ◽  
Surface Mount Technology ◽  
Sectional Area ◽  
Cross Sectional ◽  
Joint Formation ◽  
Surface Mount ◽  
Surface Tension Model

In this paper dimensionless design curves relating fillet height and length to joint cross-sectional area are presented for surface-mount solder joints. Based on an analytical surface tension model, the advantage of these dimensionless curves is that they may be used for arbitrary values of solder density and surface tension. The range of applicability of previously developed approximate formulae for predicting joint dimensions is also investigated. A simple example problem is included to illustrate the use of both the design curves and the approximate formulae.

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