Analysis of subphase gas/fluid effects on longitudinal flow over unidirectional superhydrophobic surfaces

An analysis of the slip properties associated with longitudinal shear flow over a unidirectional superhydrophobic surface comprising periodic rectangular grooves of arbitrary geometry is described. We produce analytical expressions for the hydrodynamic slip lengths (in various perturbative limits) when the effects of a subphase viscous fluid occupying the grooves is taken into account.