The lifetimes of evaporating sessile droplets are significantly extended by strong thermal effects

Abstract

The evaporation of sessile droplets is analysed when the influence of the thermal properties of the system is strong. We obtain asymptotic solutions for the evolution, and hence explicit expressions for the lifetimes, of droplets when the substrate has a high thermal resistance relative to the droplet and when the saturation concentration of the vapour depends strongly on temperature. In both situations we find that the lifetimes of the droplets are significantly extended relative to those when thermal effects are weak.

The shielding effect extends the lifetimes of two-dimensional sessile droplets

“…we need to specify the mode in which the droplet is evaporating. The works by Stauber et al [7,8] and Schofield et al [9] describe various modes of evaporation for axisymmetric droplets. In the present work, we consider the two-dimensional analogues of three of these modes: the constant-radius (CR) mode, the constant-angle (CA) mode, and the stick-slide (SS) mode.…”

“…The evaporation of sessile droplets has been studied extensively in recent years [1]. Topics of particular interest include particle transport during drying [2][3][4] and the resulting instabilities [5], nano-scale phenomena [6], and droplet lifetimes [7][8][9].…”

“…In the limit in which the droplet is thin [9,12,13], the problem simplifies further because the profile of the droplet may be neglected when imposing the boundary conditions onĉ. Thus, the mathematical problem typically becomes that of solving forĉ in a half-space or other large domain, subject to appropriate mixed boundary conditions.…”

Evaporation of ethanol-water sessile droplet of different compositions at an elevated substrate temperature

“…However, most of the results presented in their study are at room temperature only. [26] theoretically studied the influence of the thermal resistance of the liquid and the substrate on the lifetime of an evaporating ethanol-water droplet.…”

Water vapor uptake into hygroscopic lithium bromide desiccant droplets: mechanisms of droplet growth and spreading

“…The evolution, and in particular, the lifetimes, of droplets evaporating in a variety of different modes of evaporation have been studied by Stauber et el. [20,21] and Schofield et al [22] using the diffusion-limited evaporation model (see, for example, Popov [18] and Saada et al [23]).…”