Straight roads into nowhere – obvious and not-so-obvious biological models for ferrophobic surfaces

• Wilfried Konrad,
• Christoph Neinhuis and
• Anita Roth-Nebelsick

Beilstein J. Nanotechnol. 2022, 13, 1345–1360, doi:10.3762/bjnano.13.111

• furnace; Collembola; gas/liquid interfaces; interfacial effects; persistant air layers; pits; Salvinia molesta; surfaces; tuyère failure; water transport in plants; xylem; Young–Laplace equation; Introduction and Motivation The basic concept of biomimetics is the derivation of technical applications from

• Alloys, a manufacturer of tuyères), Institute of Botany of the Technical University of Dresden, funded by the German Federal Ministry for Economic Affairs and Energy (BMWi) B. Existence of a gas/liquid interface and the Young–Laplace equation General case If the forces acting across an gas/liquid

• interface are in equilibrium, the Young–Laplace equation [50] states that the difference between liquid pressure pl and gas pressure pg is counterbalanced by the surface tension term 2σH, according to σ denotes the surface tension and H the mean curvature of the gas/liquid interface. If pl and pg are

Three-gradient regular solution model for simple liquids wetting complex surface topologies

• Sabine Akerboom,
• Marleen Kamperman and
• Frans A. M. Leermakers

Beilstein J. Nanotechnol. 2016, 7, 1377–1396, doi:10.3762/bjnano.7.129

• interfacial tension γ according to the Young–Laplace equation [17]: ΔP and γ can be considered constant for a droplet (neglecting small curvature corrections, the deformation due to gravity and the near surface contributions expressed in the disjoining pressure), thus J should also be constant [13]. This

• materials that show hydrophobic contact angles and to differentiate between air entrapment and contact line pinning using a modelling approach. Macroscopic approaches such as solving the Young–Laplace equation [26][27], minimizing the availability [28], or using geometry and energy [12] to find the droplet

• shape, do not take molecular details into account, and often require the contact angle as input parameter. Furthermore, air entrapment and coalescence [29] cannot be obtained by solving the Young–Laplace equation, and surfaces with re-entrant curvatures give impossible solutions [29]. Phase field

Exploiting the hierarchical morphology of single-walled and multi-walled carbon nanotube films for highly hydrophobic coatings

• Francesco De Nicola,
• Paola Castrucci,
• Manuela Scarselli,
• Francesca Nanni,
• Ilaria Cacciotti and
• Maurizio De Crescenzi

Beilstein J. Nanotechnol. 2015, 6, 353–360, doi:10.3762/bjnano.6.34

• ImageJ was exploited to estimate the contact angle values. This plugin exploits an algorithm based on a small-perturbation solution of the Young–Laplace equation [22]. Furthermore, the presented method is applied to a continuous image of the droplet by using cubic B-Spline interpolation of the drop

Mechanical properties of MDCK II cells exposed to gold nanorods

• Anna Pietuch,
• Bastian Rouven Brückner,
• David Schneider,
• Marco Tarantola,
• Christina Rosman,
• Carsten Sönnichsen and
• Andreas Janshoff

Beilstein J. Nanotechnol. 2015, 6, 223–231, doi:10.3762/bjnano.6.21

• area at a given indentation depth and A0 the surface area prior to indentation. Static equilibrium can be expressed by the Young–Laplace equation, which describes the pressure difference across the fluid interface as a function of surface tension T and mean curvature. The task is to determine the

Superhydrophobicity in perfection: the outstanding properties of the lotus leaf

• Hans J. Ensikat,
• Petra Ditsche-Kuru,
• Christoph Neinhuis and
• Wilhelm Barthlott

Beilstein J. Nanotechnol. 2011, 2, 152–161, doi:10.3762/bjnano.2.19

• press water into the space between hydrophobic structures depends on the local contact angle and the size of the spacing. This pressure (capillary pressure) is reciprocal to the size of the spacing and can be deduced from the Young–Laplace equation. Due to the irregular spacing, it can be estimated