We consider theoretically liquid rise against gravity in capillaries with height-dependent cross-sections. For a conical capillary made from a hydrophobic surface and dipped in a liquid reservoir, the equilibrium liquid height depends on the cone-opening angle alpha, the Young-Dupré contact angle theta, the cone radius at the reservoir's level R(0), and the capillary length kappa(-)(1). As alph...

The paper is devoted to statistical analysis of rough surfaces and extraction of parameters of significance for modelling of friction between the surfaces. It is known that modern experimental techniques, e.g., techniques based on atomic-force microscopy (AFM) allow the researchers to describe the surface topography up to atomic scale resolution. However, to predict any tribological process one...

The effects of thermal roughness on X-ray studies of liquid surfaces will be discussed. In contrast to solid surfaces, for which the surface height–height correlation function remains finite at large distances, for liquid surfaces thermal fluctuations induce a logarithmic dependence for distances smaller than a gravitationally induced cutoff that is of the order of mm. As a result of this there...

incomplete adaptation of stainless steel crown margins leads to microleakage. the aim of this study was to evaluate the effect of tooth preparation on microleakage of stainless steel crowns (sscs) placed on mesiodistally reduced primary mandibular first molars.in this in vitro study, 60 primary mandibular first molars with reduced mesiodistal dimension were selected. pulp cavities were filled w...

Videokeratometers and Scheimpflug cameras permit accurate estimation of corneal surfaces. From height data it is possible to adjust analytical surfaces that will be later used for aberration calculation. Zernike polynomials are often used as adjusting polynomials, but they have shown to be not precise when describing highly irregular surfaces. We propose a combined zonal and modal method that a...

Suspended graphene sheets exhibit correlated random deformations that can be studied under the framework of rough surfaces with a Hurst (roughness) exponent 0.72 ± 0.01. Here, we show that, independent of the temperature, the iso-height lines at the percolation threshold have a well-defined fractal dimension and are conformally invariant, sharing the same statistical properties as Schramm-Loewn...