Abstract
We present a technique for introducing the surface viscosity terms into the numerical codes employed in the analysis of viscous free surface flows, namely, coating flows. Also, it qualitatively describes the effects produced by the surface viscosity on the interfacial dynamic behavior of an incompressible Newtonian liquid in a steady-state flow. The test problem chosen is the flow occurring in the slot coating process, particularly in the region where one end of a curved free surface (a meniscus) detaches from a stationary solid wall while the other end contacts a moving substrate
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