Topic
Spherical angle
About: Spherical angle is a research topic. Over the lifetime, 220 publications have been published within this topic receiving 2631 citations.
Papers published on a yearly basis
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Papers
TL;DR: Analytical expressions for both the apparent contact angle and contact angle hysteresis can be interpreted as 'weighted sums' between the contact angles of the infusing liquid relative to the droplet and surrounding gas phases, where the weighting coefficients are given by ratios of the fluid surface tensions.
Abstract: We theoretically investigate the apparent contact angle and contact angle hysteresis of a droplet placed on a liquid infused surface. We show that the apparent contact angle is not uniquely defined by material parameters, but also has a dependence on the relative size between the droplet and its surrounding wetting ridge formed by the infusing liquid. We derive a closed form expression for the contact angle in the limit of vanishing wetting ridge, and compute the correction for small but finite ridge, which corresponds to an effective line tension term. We also predict contact angle hysteresis on liquid infused surfaces generated by the pinning of the contact lines by the surface corrugations. Our analytical expressions for both the apparent contact angle and contact angle hysteresis can be interpreted as ‘weighted sums’ between the contact angles of the infusing liquid relative to the droplet and surrounding gas phases, where the weighting coefficients are given by ratios of the fluid surface tensions.
168 citations
TL;DR: In this article, a general equation for the actual contact angle on a solid surface in a three-dimensional setting is presented, and the effects of the existence of line tension and its variation with the position of the contact line are also included.
Abstract: A general equation is presented for the actual contact angle on a solid surface in a three-dimensional setting. The solid surface may be rough or heterogeneous or both. The effects of the existence of line tension and its variation with the position of the contact line are also included. It is shown that when line tension can be ignored, the actual contact angle at each point on the solid surface always equals the intrinsic contact angle (which is given in this case by the Young equation). However, when line tension is significant, the actual contact angle deviates from the Young contact angle by a term proportional to the geodesic curvature of the contact line and a term depending on the directional derivative of the line tension. Various situations are presented and discussed. Of particular interest is the example of a drop on a sphere, for which it is shown that the actual contact angle equals the Young contact angle when the contact line coincides with the equator of the sphere.
151 citations
TL;DR: The dihedral angle between the rings of biphenyl is determined to be 32 ± 2° in the molten and solution states as mentioned in this paper, and the values of the force constants associated with the inter-ring bond are discussed.
Abstract: The dihedral angle between the rings of biphenyl is determined to be 32 ± 2° in the molten and solution states. Observed vibrational frequency shifts on going from the planar configuration held in the crystal to the non-planar solution state are compared with computed frequency shifts. To improve the accuracy in the computed frequencies the force constants were refined. The values of the force constants associated with the inter-ring bond are discussed.
141 citations
128 citations
TL;DR: In this paper, the vibrational frequencies of biphenyl and its 4,4'-dihalogen derivatives have been computed for various values of the dihedral angle between the two rings.
122 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 1 |
| 2019 | 1 |
| 2017 | 4 |
| 2016 | 6 |
| 2015 | 6 |
| 2014 | 10 |