Geometric Interpretation of Surface Tension Equilibrium in Superhydrophobic Systems

نویسندگان

  • Michael Nosonovsky
  • Rahul Ramachandran
چکیده

Surface tension and surface energy are closely related, although not identical concepts. Surface tension is a generalized force; unlike a conventional mechanical force, it is not applied to any particular body or point. Using this notion, we suggest a simple geometric interpretation of the Young, Wenzel, Cassie, Antonoff and Girifalco–Good equations for the equilibrium during wetting. This approach extends the traditional concept of Neumann’s triangle. Substances are presented as points, while tensions are vectors connecting the points, and the equations and inequalities of wetting equilibrium obtain simple geometric meaning with the surface roughness effect interpreted as stretching of corresponding vectors; surface heterogeneity is their linear combination, and contact angle hysteresis is rotation. We discuss energy dissipation mechanisms during wetting due to contact angle hysteresis, the superhydrophobicity and the possible entropic nature of the surface tension.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Dynamics of sliding drops on superhydrophobic surfaces

– We use a free energy lattice Boltzmann approach to investigate numerically the dynamics of drops moving across superhydrophobic surfaces. The surfaces comprise a regular array of posts small compared to the drop size. For drops suspended on the posts the velocity increases as the number of posts decreases. We show that this is because the velocity is primarily determined by the contact angle ...

متن کامل

Estimation of Concentrations in Chemical Systems at Equilibrium Using Geometric Programming

Geometric programming is a mathematical technique, which has been developed for nonlinear optimization problems. This technique is based on the dual program with linear constraints. Determination of species concentrations in chemical equilibrium conditions is one of its applications in chemistry and chemical engineering fields. In this paper, the principles of geometric programming and its comp...

متن کامل

بررسی شرایط تخلیه جت دایره‌ای همسو در منابع آب پذیرنده بی‌نهایت کم عمق

Discharge of contaminants in the acceptor ambient has negative environmental impacts. Extremely shallow acceptor ambient conditions will have a significant impact on the diffusion of the contaminants flow. To achieve the effect of the hydraulic, geometric and environmental conditions of the contaminant flow in the acceptor ambient, an experimental model of surface draining was applied. The mode...

متن کامل

THE EFFECT OF OILFIELD CHEMICALS ON THE SURFACE TENSION OF SURFACTANT SYSTEMS

Treated sea water is the most significant source of water and surfactant floods. The various chemicals employed in treatment plants should be compatible with surfactant systems. Based on surface tension experiments, the activity of these chemicals is examined over a wide range of concentrations in different solutions, including distillated water, sea water by using three types of surfactant mix...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • Entropy

دوره 17  شماره 

صفحات  -

تاریخ انتشار 2015