Computer simulations to approach surface tension by means of a simple mesoscopic mechanical model

2019 ◽  
Vol 27 (6) ◽  
pp. 1333-1342
Author(s):  
Onofrio R. Battaglia ◽  
Aurelio Agliolo Gallitto ◽  
Claudio Fazio
Keyword(s):  
Surface Tension ◽  
Computer Simulations ◽  
Mechanical Model

scholarly journals Surface tension of supercooled water nanodroplets from computer simulations

2019 ◽  
Vol 150 (23) ◽  
pp. 234507 ◽  
Author(s):  
Shahrazad M. A. Malek ◽  
Peter H. Poole ◽  
Ivan Saika-Voivod
Keyword(s):  
Surface Tension ◽  
Computer Simulations ◽  
Supercooled Water

scholarly journals Formation of adhesion domains in stressed and confined membranes

Soft Matter ◽  
2015 ◽  
Vol 11 (19) ◽  
pp. 3780-3785 ◽  
Author(s):  
Nadiv Dharan ◽  
Oded Farago
Keyword(s):  
Surface Tension ◽  
Lipid Bilayers ◽  
Computer Simulations ◽  
Molecular Model ◽  
Coarse Grained ◽  
Supported Lipid Bilayers

We use computer simulations of a coarse-grained molecular model of supported lipid bilayers to study the formation of adhesion domains in confined membranes, and in membranes subjected to a non-vanishing surface tension. When the membrane is subjected to compression, the condensation of the adhesion domains triggers membrane buckling.

scholarly journals Synchronization and Stability of Elasticity Coupling Two Homodromy Rotors in a Vibration System

2016 ◽  
Vol 2016 ◽  
pp. 1-10
Author(s):  
Yongjun Hou ◽  
Mingjun Du ◽  
Pan Fang ◽  
Yuwen Wang ◽  
Liping Zhang
Keyword(s):  
Theoretical Analysis ◽  
Computer Simulations ◽  
Stability Criterion ◽  
Mechanical Model ◽  
Induction Motors ◽  
Simplified Model ◽  
Vibration System ◽  
Analysis Method ◽  
Lagrange Equations ◽  
Synchronous State

The mechanical model of an elasticity coupling 1-DOF system is proposed to implement synchronization; the simplified model is composed of a rigid body, two induction motors, and a connecting spring. Based on the Lagrange equations, the dynamic equation of the system is established. Moreover, a typical analysis method, the Poincare method, is applied to study the synchronization characteristics, and the balanced equations and stability criterion of the system are obtained. Obviously, it can be seen that many parameters affect the synchronous state of the system, especially the stiffness of the support spring, the stiffness of the connecting spring, and the installation location of the motors. Meanwhile, choose a suitable stiffness of the connecting spring (k), which would play a significant role in engineering. Finally, computer simulations are used to verify the correctness of the theoretical analysis.

Modeling and Simulation of the Ultrasonic Motor which Using Bending Vibration Transducer

2014 ◽  
Vol 628 ◽  
pp. 240-248
Author(s):  
Zi Li Huang ◽  
Wei Shan Chen
Keyword(s):  
Mathematical Model ◽  
Computer Simulations ◽  
Mechanical Model ◽  
Ultrasonic Motor ◽  
Guide Rail ◽  
Bending Vibration ◽  
Stick Slip ◽  
Vibration Transducer ◽  
Starting Process ◽  
The Mathematical Model

Build the mathematical model and mechanical model of ultrasonic motor which using bending vibration transducer. Based on this model, analyze the contact and friction processes between driven-foot which belonging to ultrasonic motor which using bending vibration transducer and guide rail. Analyze the influence preload force make to the process of motor’s running. Take the cases of stick, slip, flight into consideration, and explain nonlinearity of the Dynamics. Do computer simulations of starting process though this model, and summarize the motor’s working results when it works under different conditions.

Mechanical Models of Low-Gravity Sloshing Taking Into Account Viscous Damping

2013 ◽  
Vol 136 (1) ◽  
Author(s):  
M. Utsumi
Keyword(s):  
Surface Tension ◽  
Mechanical Model ◽  
Damping Ratio ◽  
Space Vehicle ◽  
Control Analysis ◽  
Phase Lag ◽  
Low Gravity ◽  
Correction Model ◽  
Mechanical Models ◽  
Modal Equation

Mechanical models of damped low-gravity sloshing are developed using a proposed analytical method for arbitrary axisymmetric tanks. It is shown that (a) the complex amplitudes of the force and moment caused by the conventional mechanical model do not coincide with the complex amplitudes of the force and moment calculated from the modal equation of sloshing and (b) these differences arise not only from the damping ratio but also from the surface tension although the surface tension does not cause energy dissipation. A mechanical model for correcting these differences is developed. The mass of this correction model is found to be equal to the mass of the liquid that fills the domain bounded by the meniscus and the plane that includes the contact line of the meniscus with the tank wall. With decreasing Bond number, the correction model mass as well as the damping ratio increase and, therefore, the correction becomes important. The force and moment caused by the conventional uncorrected mechanical model have phase lag with respect to the force and moment calculated from the modal equation of sloshing near the resonant frequency. Therefore, the correction is important for the dynamics and control analysis of a space vehicle.

scholarly journals A fluid-mechanical model of elastocapillary coalescence

2014 ◽  
Vol 745 ◽  
pp. 621-646 ◽  
Author(s):  
Kiran Singh ◽  
John R. Lister ◽  
Dominic Vella
Keyword(s):  
Surface Tension ◽  
Numerical Simulations ◽  
Mechanical Model ◽  
Cluster Size ◽  
Liquid Films ◽  
Relative Strength ◽  
Noise Perturbation ◽  
Maximum Cluster ◽  
The Mean ◽  
O 10

AbstractWe present a fluid-mechanical model of the coalescence of a number of elastic objects due to surface tension. We consider an array of spring–block elements separated by thin liquid films, whose dynamics are modelled using lubrication theory. With this simplified model of elastocapillary coalescence, we present the results of numerical simulations for a large number of elements, $N=O(10^4)$. A linear stability analysis shows that pairwise coalescence is always the most unstable mode of deformation. However, the numerical simulations show that the cluster sizes actually produced by coalescence from a small white-noise perturbation have a distribution that depends on the relative strength of surface tension and elasticity, as measured by an elastocapillary number $K$. Both the maximum cluster size and the mean cluster size scale like $K^{-1/2}$ for small $K$. An analytical solution for the response of the system to a localized perturbation shows that such perturbations generate propagating disturbance fronts, which leave behind ‘frozen-in’ clusters of a predictable size that also depends on $K$. A good quantitative comparison between the cluster-size statistics from noisy perturbations and this ‘frozen-in’ cluster size suggests that propagating fronts may play a crucial role in the dynamics of coalescence.

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