Relationship between contact angle and contact line radius for micro to atto [10−6 to 10−18] liter size oil droplets

Jasper, Warren J.; Rasipuram, Srinivasan C.

doi:10.1016/j.molliq.2017.10.134

Cited by 13 publications

(9 citation statements)

References 22 publications

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“…However, recent researches show that the modified Young's equation does not hold at small scales (e.g., droplet size is smaller than 100 nm). 40,41 This is because the (modified) Young's equation is a continuum formulation and its validity at the nanoscale remains an open question. [42][43][44] For the microbubble on fiber method, as shown in Figure 3b, the diameter of the microbubbles varies from 20 to 200 μm, and for practical applications of TP and their composites, fibers with diameters ranging from 10 to 100 μm have been used.…”

Section: Model Validationmentioning

confidence: 99%

“…As introduced in Section 2.1, the modified Young's equations (Equation ) taking into account the TCL tension can be used to describe the contact of a bubble/droplet partially in contact with a cylindrical surface. However, recent researches show that the modified Young's equation does not hold at small scales (e.g., droplet size is smaller than 100 nm) 40,41 . This is because the (modified) Young's equation is a continuum formulation and its validity at the nanoscale remains an open question 42–44 .…”

Section: Experimental Workmentioning

confidence: 99%

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Microbubble on fiber method to determine the contact angle between steel substrates and highly viscous molten PEKK and PA 6

Chen

Chu

Grouve

et al. 2023

J of Applied Polymer Sci

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Determining the contact angle between a molten thermoplastic and a solid is important for the processing of thermoplastics and their composites. The well‐known sessile drop method can be used to determine the contact angle of thermoplastics. However, complex instrumental systems are needed due to the high viscosity and high melting point of thermoplastics. Inspired by the captive bubble method, a simple method based on the system of an air bubble on a substrate in the molten thermoplastic was proposed. This system is prepared by melting fibers and thermoplastic powder materials mixtures in between two glass plates using a hot stage. The contact angle of a microbubble in contact with fiber in molten thermoplastic is measured using an optical microscope. The system of a microbubble in molten thermoplastic can easily reach the equilibrium state. Two types of highly viscous thermoplastics in contact with stainless steel fibers are studied and the contact angle is sensitive to both the physicochemical properties of the fiber surface and the type of polymer matrix materials, which demonstrates the applicability of this method. Our proposed method is promising to be further developed into a general method to determine the contact angle between thermoplastics and solid surfaces.

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Section: Model Validationmentioning

confidence: 99%

Section: Experimental Workmentioning

confidence: 99%

Microbubble on fiber method to determine the contact angle between steel substrates and highly viscous molten PEKK and PA 6

Chen

Chu

Grouve

et al. 2023

J of Applied Polymer Sci

View full text Add to dashboard Cite

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“…The modified Young–Lippmann equation to be applied is

with C dpc as the capacitance of the double-layer (dielectric plus photoconductive layer) and V dpc as the voltage drop across the double-layer. Both the denominator as well as the parameter γ in the above equation are related to the Laplace pressure and its case-dependent significance, respectively [ 52 , 53 ], which get strong for microdroplets with volumes well below 1 μ l; the Laplace pressure (related to the strong surface curvature of small droplets) works against the reduction of surface tension.…”

Section: Further Ewod and Oew Details [ 1 – 13 34 – 44 ]mentioning

confidence: 99%

Microdroplet Actuation via Light Line Optoelectrowetting (LL-OEW)

Doering

Strassner

Fouckhardt

2021

International Journal of Analytical Chemistry

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Meanwhile, electrowetting-on-dielectric (EWOD) is a well-known phenomenon, even often exploited in active micro-optics to change the curvature of microdroplet lenses or in analytical chemistry with digital microfluidics (DMF, lab on a chip 2.0) to move/actuate microdroplets. Optoelectrowetting (OEW) can bring more flexibility to DMF because in OEW, the operating point of the lab chip is locally controlled by a beam of light, usually impinging onto the chip perpendicularly. As opposed to pure EWOD, for OEW, none of the electrodes has to be structured, which makes the chip design and production technology simpler; the path of any actuated droplet is determined by the movement of the light spot. However, for applications in analytical chemistry, it would be helpful if the space both below as well as that above the lab chip were not obstructed by any optical components and light sources. Here, we report on the possibility to actuate droplets by laser light beams, which traverse the setup parallel to the chip surface and inside the OEW layer sequence. Since microdroplets are grabbed by this surface-parallel, nondiverging, and nonexpanded light beam, we call this principle “light line OEW” (LL-OEW).

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“…16 Jasper suggested that the term VdP in free energy change might be the key to solving the contact angle problem in the Gibbs relation. 17 Deng et al, researched direct measurement of the contact angle of water droplet on Quartz in a reservoir rock with atomic force microscopy. 18 Shi et al Conducted an experimental study of contact angle hysteresis by testing stretching and compression of liquid bridges and investigating the dynamic effect on contact angle hysteresis.…”

Section: Introductionmentioning

confidence: 99%

“…Skelnberger investigated direct observation of droplets on surfaces where lubricant is injected and slippery 16 . Jasper suggested that the term VdP in free energy change might be the key to solving the contact angle problem in the Gibbs relation 17 . Deng et al, researched direct measurement of the contact angle of water droplet on Quartz in a reservoir rock with atomic force microscopy 18 .…”

Section: Introductionmentioning

confidence: 99%

Laboratory measuring of contact angles for liquid/solid surface and analysis with artificial neural network

Jaberi,

Moradi,

Alavi Fazel

2024

Lubrication Science

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In this study, the advancing and receding contact angles of three types of pure liquid on four different surfaces have been measured. The contact angles of the droplet have been measured by analysing the captured photo by tilted plate method. Droplet behaviour has been modelled by two experimental equations. Additionally, the data has been modelled by an artificial neural network using genetic algorithm and a hyperbolic tangent activation function. The input parameters are density, molecular weight of pure liquid and solid, viscosity and surface tension of pure liquid, roughness of the solid surface and the two outputs are advancing and receding contact angles of the droplet. Number of 81 data points were used for training, 27 data for validation and 28 data for testing. The topography of {7,7,2} for artificial neural network has been proposed. The resulting RMS errors were 8%, 8% and 7% for training, validation and testing, respectively.

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Relationship between contact angle and contact line radius for micro to atto [10−6 to 10−18] liter size oil droplets

Cited by 13 publications

References 22 publications

Microbubble on fiber method to determine the contact angle between steel substrates and highly viscous molten PEKK and PA 6

Microbubble on fiber method to determine the contact angle between steel substrates and highly viscous molten PEKK and PA 6

Microdroplet Actuation via Light Line Optoelectrowetting (LL-OEW)

Laboratory measuring of contact angles for liquid/solid surface and analysis with artificial neural network

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