Abstract An efficient numerical approach is proposed on the crust formation of an isothermal drying spherical colloidal droplet in a stagnant gas, where the heat and mass transfer were governed by the Stefan flow. A purely diffusive mechanism with a moving boundary was considered. The droplet shrinking induced an accumulation of particles, in the vicinity of the droplet interface, up to the onset of a crust formation known as the locking point. The latter was used as a control parameter of the numerical procedure global behaviour. The performances of the present numerical scheme compared to classical methods, showed a rapid convergence with a drastic reduction in the number of nodes, at least two-hundred fold less. Furthermore, the accuracy and speed of the proposed method allowed to carry out an extensive study with respect to the Peclet number, thus enabling to point out three drying regimes.

中文翻译：

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干燥胶体液滴结壳开始的有效数值预测

摘要 针对静止气体中等温干燥球形胶体液滴的结壳形成提出了一种有效的数值方法，其中传热和传质由 Stefan 流控制。考虑了具有移动边界的纯扩散机制。液滴收缩导致颗粒在液滴界面附近积累，直到形成称为锁定点的外壳开始。后者被用作数值程序全局行为的控制参数。与经典方法相比，本数值方案的性能显示出快速收敛，节点数量急剧减少，至少减少了两百倍。此外，所提出方法的准确性和速度允许对 Peclet 数进行广泛的研究，