Guangdong Technion-Israel Institute of Technology

Abstract The friction (lateral adhesion) of a sliding droplet on a solid substrate remains underexplored and the solid–liquid–vapor composite interfaces on superhydrophobic surfaces make droplet friction more complicated. This is because the microscopic contact line of the sliding droplet is anisotropic and nonsynchronous, which behaves and interacts with the surface microstructures distinctly everywhere along the apparent droplet boundary. Here, we customize an experimental setup to simultaneously measure the dynamics of the apparent droplet shape, macro‐ and microscopic contact line, and the friction force of a sliding droplet on pillared superhydrophobic surfaces with systematically varying dimensions. Stemming from the energy consumed by the sliding contact line and the distorted liquid–vapor interface, we develop an analytical model to predict the droplet friction force relying only on the droplet volume and micropillar dimensions.

В работе рассматривается задача Коши для двумерного безмассового уравнения Дирака в графене с постоянным электрическим полем. Предполагается, что в начальный момент локализованная волновая функция описывает квазиэлектроны с импульсами, лежащими в правой полуплоскости. В статье описывается эффект, основанный на явлении смены кратности термов (характеристик), приводящему к клейновскому туннелированию и заключающийся в том, что спустя некоторое время дополнительно волновой функции для электронной компоненты, появляется дырочная компонента. Они двигаются в противоположных направлениях, причем дырочная компонента локализована в окрестности движущейся точки.

The present review aims to underline the inherent gas separation potential of pristine Pebax-1657, without any chemical modification, nor addition of filler material, by referring to a number of selected outstanding literature results. These results underscore the adequacy of pristine Pebax-1657 membranes in achieving excellent CO 2 gas separation performances, within or close to the target area of commercial applicability in terms of technoeconomic competitiveness when compared to alternative CO 2 separation/capture technologies. These achievements are facilitated by the utilization and combination of cutting-edge membrane preparation techniques. Additionally, the current review provides detailed information regarding material and gas separation properties based on experimental data, which are handpicked from literature and statistically presented to highlight significant differences in reported values. Basic empirical correlations emerging from these data are formulated, in order to provide a guideline for future membrane design, along with clarifications on important claims and points that are often encountered in relevant literature. • Details on structure and properties of pristine Pebax-1657 membranes • Experimental literature data on CO 2 gas separation with pristine Pebax-1657 membranes • Comparison of pristine Pebax-1657 membranes with other Pebax grade membranes • Experimental preparation techniques for top performing pristine Pebax-1657 membranes • Pristine Pebax-1657 membrane performance under various conditions and other gas pairs