Measurement of liquid surface tension by fitting the lying droplet profile

Tang, Hao; Cheng, Xugeng

doi:10.1016/j.measurement.2021.110379

Cited by 13 publications

(8 citation statements)

References 60 publications

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“…It is shown in Figure b that the droplet top part overlaps with the fiber in the front view, and the droplet profile in this area is obscure. Previous studies ,, used an elliptic arc to replace the droplet profile in the overlap area with the droplet volume unchanged.…”

Section: Methodsmentioning

confidence: 99%

“…In addition, a hydrostatic model is established to analyze the capillary force acting on an axisymmetric droplet. Tang and Cheng brought forward an implicit solving method of the Young–Laplace equation to calculate the droplet contact angle on a horizontal plane. Ríos-López et al studied the 3-D reconstruction method for an axisymmetric droplet on a plane to analyze the influence of capillary force on droplet moving velocity.…”

Section: Introductionmentioning

confidence: 99%

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Experiments on the Capillary Force of a Clam-Shell Droplet on Fibers by 3-D Model Reconstruction

Liu

Zhang

et al. 2023

Langmuir

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The capillary force is critical to the moving and breaking of droplets on fibers. This study brings forward a 3-D model reconstruction method for a clam-shell droplet on fibers and obtains the capillary force by the surface integral of Laplace pressure on the whole droplet. The capillary force results are verified by the droplet gravity and axial drag force, respectively. Moreover, the tensile tangential stresses are analyzed to illustrate the top limits of Laplace pressure against droplet breaking or sliding on the fiber. The experiment shows that the capillary force obtained by the 3-D model accurately describes the vertical and tangential forces of the clam-shell droplet on the fiber. Sharp shrinking of the cross-section on the droplet's upper part results in an exponential increase in tensile and tangential stresses, which makes the droplet break or move on the fiber.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Experiments on the Capillary Force of a Clam-Shell Droplet on Fibers by 3-D Model Reconstruction

Liu

Zhang

et al. 2023

Langmuir

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show abstract

“…For the ideal environment, the Young-Laplace equation describes the Laplace pressure of the meniscus assuming continuous liquid medium 30,31 :…”

Section: Mechanism and Modeling Of Capillary Force Considering Relati...mentioning

confidence: 99%

Deep understanding of the dependence between capillary adhesion behavior and meniscus Kelvin radius or interface micromorphology

Liu,

Ran

et al. 2024

Preprint

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With the structure and device entering the micro/nano scale, the interaction between micro devices is mainly governed by the interface forces. The capillary adhesion force, as the main component of the interface force, significantly affects the detection accuracy and reliability of the micro/nano measurement system. In this paper, an accurate parameterized theoretical model of the capillary force related to relative humidity considering a non-constant Kelvin equilibrium radius, as well as a model with respect to surface roughness derived from a sinusoidal characteristic microtopography under the partially infiltrated state of surface microcosmic grooves are established which can more accurately describe the capillary adhesion behavior between real workpiece surfaces. A high-sensitivity force measurement system using the probe tip on micrometre scale is developed to measure capillary forces. The experiment results demonstrate the accuracy of the theoretical models and reveal the relationship between effective distance, rate of change of the capillary force with the relative humidity or surface roughness. This work will expand the scope of understanding of the interaction effects appeared on micrometer-scale probe tips and lead to many potential applications of the interface interaction in micro- and nanotechnology.

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“…Integrating equation (6) and substituting in the boundary conditions x = a , ' y = ∞, yb = , where a is the elevation difference of the liquid surface between the double plates and 2 b is the spacing between the plates, we have…”

Section: The Surface Curve Between Double Vertical Platesmentioning

confidence: 99%

“…Interestingly, the surface tension of pure water changes significantly after magnetization [1][2][3][4][5][6]. The effects of magnetic fields on the physical properties of water have been studied, including the effects on surface tension, and it has been predicted that these changes are caused by changes in the microstructure and distribution of water molecules under the action of a magnetic field.…”

Section: Introductionmentioning

confidence: 99%

The Surface Shape of Static Liquids between Double Vertical Plates in Different Gravity Environments

Ma,

Chang,

et al. 2023

J. Phys.: Conf. Ser.

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Liquid surface tension is produced at interfaces between liquid and air, due to the different molecular attractions on both sides. If the adhesion between a liquid and a solid wall is greater than the cohesion of the liquid itself, the liquid surface rises in a concave form due to the action of the surface tension, and the liquid near the surface produces a suction head. Conversely, if the liquid-solid adhesion is less than the cohesion of the liquid, the surface drops down in a convex form and the liquid has a pressure head. This paper systematically investigates the surface shape and tension distributions of static liquids near solid walls. The scenarios investigated the walls of double vertical plates. For the plane-based problems, an analytical method is used to extract exact solutions. For a double plates, fitting formulae are presented. All of the quantities required for these results can be easily measured in different gravity environments.

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Measurement of liquid surface tension by fitting the lying droplet profile

Cited by 13 publications

References 60 publications

Experiments on the Capillary Force of a Clam-Shell Droplet on Fibers by 3-D Model Reconstruction

Experiments on the Capillary Force of a Clam-Shell Droplet on Fibers by 3-D Model Reconstruction

Deep understanding of the dependence between capillary adhesion behavior and meniscus Kelvin radius or interface micromorphology

The Surface Shape of Static Liquids between Double Vertical Plates in Different Gravity Environments

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