Spreading of a droplet over a nonisothermal substrate: multiple scaling regimes

Chaudhury, Kaustav ; Chakraborty, Suman (2015) Spreading of a droplet over a nonisothermal substrate: multiple scaling regimes Langmuir, 31 (14). pp. 4169-4175. ISSN 0743-7463

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Official URL: http://pubs.acs.org/doi/abs/10.1021/la5047657

Related URL: http://dx.doi.org/10.1021/la5047657


We envisage the spreading behavior of a two-dimensional droplet under a thin-film-based paradigm, under a perfect wetting condition, while the droplet is placed over a nonisothermal substrate. Starting from the onset of thin-film behavior (or equivalently beyond the inertia-dominated initial stage), we identify the existence of mutually contrasting multiple scaling regimes defining the spreading behavior at different time scales. This is attributable to the time-stage-wise upsurge of capillarity or thermocapillarity over the other. In particular, the spreading behavior is characterized by the foot-width (w) evolution with time (t) in a power-law fashion w ∼ t(α), with α being the spreading exponent, defining the rate of spreading. Following pertinent thin-film and subsequent similarity analysis, we identify different asymptotes of α over disparate temporal scales, leading to the characterization of different scaling regimes over the entire spreading event starting from the inception of thin-film behavior. Reported literature data are found to correspond well to the present interpretations and estimations.

Item Type:Article
Source:Copyright of this article belongs to American Chemical Society.
ID Code:100330
Deposited On:23 Dec 2016 09:38
Last Modified:23 Dec 2016 09:38

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