Contact angle hysteresis of cylindrical drops on chemically heterogeneous striped surfaces.pdf

Contact angle hysteresis of cylindrical drops on chemically heterogeneous striped surfaces.pdf

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Contact angle hysteresis of cylindrical drops on chemically heterogeneous striped surfaces

a r X i v : c o n d - m a t / 0 5 1 1 6 3 6 v 1 [ c o n d - m a t .s o f t ] 2 6 N o v 2 0 0 5 Contact angle hysteresis of cylindrical drops on chemically heterogeneous striped surfaces Masao Iwamatsu 1 Department of Physics, General Education Center, Musashi Institute of Technology, Setagaya-ku, Tokyo 158-8557, Japan Abstract Contact angle hysteresis of a macroscopic droplet on a heterogeneous but flat sub- strate is studied using the interface displacement model. First, the apparent contact angle of a droplet on a heterogeneous surface under the condition of constant vol- ume is considered. By assuming a cylindrical liquid-vapor surface (meniscus) and minimizing the total free energy, we derive an equation for the apparent contact an- gle, which is similar but different from the well-known Cassie’s law. Next, using this modified Cassie’s law as a guide to predict the behavior of a droplet on a heteroge- neous striped surface, we examine several scenarios of contact angle hysteresis using a periodically striped surface model. By changing the volume of the droplet, we pre- dict a sudden jump of the droplet edge, and a continuous change of the apparent contact angle at the edge of two stripes. Our results suggest that as drop volume is increased (advancing contact lines), the predominant drop configuration observed is the one whose contact angle is large; whereas, decreasing drop volume from a large value (receding contact lines) yields drop configuration that predominantly exhibit the smaller contact angle. Key words: contact angle hysteresis, Cassie’s law, striped surface PACS: 02.60.Pn, 02.70.Tt, 36.40.Mr 1 Introduction Contact angle hysteresis on a real surface has been investigated experimentally for many years [1,2]. Usually a higher advancing contact angle and a lower receding contact angle are observed. This hysteresis has been attributed either 1 E-mail: iwamatsu@ph.ns.musashi-tech.ac.jp, Tel: +81-3-3703-3111 ext.2382, Fax: +81-3-5707-2222 Preprint s

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