The transfer of mass around a spherical double emulsion droplet in a uniform creeping flow and at large Peclet numbers is the subject of this theoretical communication. The double emulsion droplet, submerged in an external fluid (fluid 1), is made from an internal spherical drop (fluid 3) covered by a spherical fluid shell (fluid 2). Four dimensionless numbers describe this situation: two viscosity ratios, shell over external (${\lambda }_{21}$) and internal over shell (${\lambda }_{32}$); the radii ratio, inner over outer ($\kappa$); and the Peclet number (Pe). The external mass transfer rate of a double emulsion having a fast external mobile surface is proportional to ${\mathit{Pe}}^{\mathrm{1∕2}}$, it increases as ${\lambda }_{21}$ or $\kappa$ decrease, and for a very small internal drop or a very thick shell ($\kappa$ $\to$ 0), it behaves like a single drop. On the other hand, the external rate of mass transfer of a double emulsion with a very slow external mobile surface is proportional to ${\mathit{Pe}}^{\mathrm{1∕3}}$, it increases as ${\lambda }_{21}$ or $\kappa$ increase, and for a very large internal drop or a very thin shell ($\kappa$ $\to$ 1), it mimics a single solid particle. The influence of the other viscosity ratio (${\lambda }_{32}$) on the external mass transfer can be ignored.

在均匀蠕动流和大 Peclet 数下，球形双乳液液滴周围的质量转移是这一理论交流的主题。浸没在外部流体（流体 1）中的双乳液液滴由被球形流体壳（流体 2）覆盖的内部球形液滴（流体 3）制成。四个无量纲数描述了这种情况：两个粘度比，外壳超过外部（${\lambda }_{21}$) 和内部外壳 (${\lambda }_{32}$); 半径比，内在外（$\kappa$); 和 Peclet 数 ( Pe )。具有快速外部移动表面的双乳液的外部传质速率与${\mathit{聚乙烯}}^{\mathrm{1∕2}}$，它增加为 ${\lambda }_{21}$ 要么 $\kappa$ 减少，并且对于非常小的内部下降或非常厚的外壳（$\kappa$ $\to$0)，它的行为就像一滴水。另一方面，具有非常慢的外部移动表面的双乳液的外部传质速率与${\mathit{聚乙烯}}^{\mathrm{1∕3}}$，它增加为 ${\lambda }_{21}$ 要么 $\kappa$ 增加，并且对于非常大的内部下降或非常薄的外壳（$\kappa$ $\to$1)，它模仿单个固体颗粒。其他粘度比的影响（${\lambda }_{32}$) 对外部传质的影响可以忽略不计。