@TechReport{	  it:2017-019,
  author	= {Zhouyang Ge and Hanna Holmgren and Martin Kronbichler and
		  Luca Brandt and Gunilla Kreiss},
  title		= {Effective Slip Over Partially Filled Microcavities and its
		  Possible Failure},
  institution	= {Department of Information Technology, Uppsala University},
  department	= {Division of Scientific Computing},
  year		= {2017},
  number	= {2017-019},
  month		= sep,
  abstract	= {Microscale roughness on an otherwise smooth hydrophobic
		  surface can significantly reduce the resistance to an
		  external liquid flow. We study static drag reduction over a
		  lubricant- infused surface by looking at an array of
		  two-dimensional transverse grooves partially filled with a
		  second immiscible fluid. Numerical simulations at separate
		  length scales are used to probe the static drag reduction
		  property and the dynamic wetting behavior. Nano-scale phase
		  field simulations are used to extract the characteristic
		  contact line velocities. Micron-scale two-phase simulations
		  using the level set method are used to model the interface
		  deformation and the flow in and above the cavities. We
		  study the dependence of the effective slip by varying
		  viscosity ratios, capillary numbers, the static contact
		  angle and the filling rate of the cavity (meaning the
		  amount of lubricant fluid). We observe an increase of the
		  effective slip with the cavity filling and identify a
		  potentially new failure mode.}
}