Abstract
Surfactants can have a detrimental effect on the drag reduction in shear flow over superhydrophobic surfaces in the Cassie state. Assuming an incompressible, inviscid surfactant phase at the gas-liquid interfaces, we study liquid flow over an array of narrow gas-filled grooves embedded in an otherwise planar surface, with the gas-liquid interface protruding above or below the plane. A recirculating flow develops at the gas-liquid interfaces, such that the slip length for flow over such surfaces is much smaller than at corresponding surfactant-free interfaces.
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