The deposition of colloidal silica particles during the evaporation of sessile drops on a smooth substrate has been modeled by the simultaneous solution of the Navier–Stokes equations, the convective-diffusive equation for particles, and the diffusion equation for evaporated vapor in the gas phase. Isothermal conditions were assumed. A mapping was created to show the conditions for various deposition patterns for very dilute suspensions. Based on values of the Peclet (Pe) number and Damkholer numbers (Da and Da₋₁), the effects of adsorption and desorption were discussed according to the map. Simulations were also done for suspensions with a high particle concentration to form a solid phase during the evaporation by using a packing criterion. The simulations predicted the height and width of the ring deposit near the contact line, and the results compared favorably to experimental particle deposition patterns.

中文翻译：

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固定液滴蒸发过程中的胶体颗粒沉积：稀释的胶体分散体

通过在纳维尔-斯托克斯方程，颗粒的对流扩散方程和气相蒸发蒸气的扩散方程的同时解中，对无滴液滴在光滑基底上蒸发过程中胶体二氧化硅颗粒的沉积进行了建模。假定等温条件。创建一个映射以显示非常稀悬液的各种沉积模式的条件。基于Peclet（Pe）数和Damkholer数（Da和Da _-1），并根据该图讨论了吸附和解吸的影响。还使用填充标准对蒸发过程中具有高颗粒浓度的悬浮液进行了模拟，以形成固相。模拟预测了接触线附近的环形沉积物的高度和宽度，并将结果与​​实验颗粒沉积模式进行了比较。