论文标题
剪切流在表面上，该表面包含一个不可压缩的表面活性剂相覆盖的凹槽
Shear flow over a surface containing a groove covered by an incompressible surfactant phase
论文作者
论文摘要
我们研究带有嵌入式气体凹槽的平面表面上的剪切驱动的液体流动，气液界面略高于平面表面或低于平面表面。流动方向沿着凹槽，比宽长得多，并且假定气体液体界面被不可压缩的表面流体覆盖，代表表面活性剂相。使用表面流体的不可压缩条件，通过最小化耗散速率来获得运动方程和液相的相应边界条件。假设界面的中等变形，则使用小参数时具有最大变形的域扰动技术。使用Keldysh-Sedov形式主义，将相应边界条件下液相的Stokes方程求解为二阶。将获得的分析结果与相同问题的数值计算进行了比较，从而评估了扩展有效性的限制。尽管在平面气体界面上没有诱发流动，但在平面表面上方或下方略高的界面上观察到循环流。该研究将表面活性剂充当不可压缩的表面流体的表面活性剂的存在，将光线释放到弯曲气体界面的迁移率上。
We study shear-driven liquid flow over a planar surface with an embedded gas-filled groove, with the gas-liquid interface protruding slightly above or below the planar surface. The flow direction is along the groove, taken to be much longer than wide, and the gas-liquid interface is assumed to be covered by an incompressible surface fluid, representing a surfactant phase. Using the incompressiblity condition for the surface fluid, the equations of motion and corresponding boundary conditions for the liquid phase are obtained by minimizing the dissipation rate. Assuming a moderate deformation of the interface, a domain perturbation technique with the maximal deformation as the small parameter is employed. The Stokes equation in the liquid phase under corresponding boundary conditions is solved to second order in the deformation using the Keldysh-Sedov formalism. The obtained analytical results are compared with numerical calculations of the same problem, allowing an assessment of the limits of validity of the expansion. While on a planar gas-liquid interface no flow is induced, a recirculating flow is observed on an interface protruding slightly above or below the planar surface. The study sheds light onto the mobility of curved gas-liquid interfaces in the presence of surfactants acting as an incompressible surface fluid.
