title: Thermokinetics of heterogeneous droplet nucleation on conically textured substrates.
abstract: Within the framework of the classical theory of heterogeneous nucleation, a thermokinetic model is developed for line-tension-associated droplet nucleation on conical textures considering growth or shrinkage of the formed cluster due to both interfacial and peripheral monomer exchange and by considering different geometric configurations. Along with the principle of free energy extremization, Katz kinetic approach has been employed to study the effect of substrate conicity and wettability on the thermokinetics of heterogeneous water droplet nucleation. Not only the peripheral tension is found to have a considerable effect on the free energy barrier but also the substrate hydrophobicity and hydrophilicity are observed to switch over their roles between conical crest and trough for different growth rates of the droplet. Besides, the rate of nucleation increases and further promotes nucleation for negative peripheral tension as it diminishes the free energy barrier appreciably. Moreover, nucleation inhibition can be achievable for positive peripheral tension due to the enhancement of the free energy barrier. Analyzing all possible geometric configurations, the hydrophilic narrower conical cavity is found to be the most preferred nucleation site. These findings suggest a physical insight into the context of surface engineering for the promotion or the suppression of nucleation on real or engineered substrates.
authors.affiliation: Department of Mechanical Engineering, Indian Institute of Technology Kharagpur, Kharagpur 721302, India.
authors.forename: Sanat K
authors.initials: SK
authors.lastname: Singha
authors.affiliation: Department of Mechanical Engineering, Indian Institute of Technology Kharagpur, Kharagpur 721302, India.
authors.forename: Prasanta K
authors.initials: PK
authors.lastname: Das
authors.affiliation: Department of Mechanical Engineering, Indian Institute of Technology Kharagpur, Kharagpur 721302, India.
authors.forename: Biswajit
authors.initials: B
authors.lastname: Maiti