4 research outputs found
A note on the effective slip properties for microchannel flows with ultra-hydrophobic surfaces
A type of super-hydrophobic surface consists of a solid plane boundary with
an array of grooves which, due to the effect of surface tension, prevent a
complete wetting of the wall. The effect is greatest when the grooves are
aligned with the flow. The pressure difference between the liquid and the gas
in the grooves causes a curvature of the liquid surface resisted by surface
tension. The effects of this surface deformation are studied in this paper. The
corrections to the effective slip length produced by the curvature are analyzed
theoretically and a comparison with available data and related mathematical
models is presented.Comment: 19 pages, 5 figure
Orthogonal, solenoidal, three-dimensional vector fields for no-slip boundary conditions
Viscous fluid dynamical calculations require no-slip boundary conditions.
Numerical calculations of turbulence, as well as theoretical turbulence closure
techniques, often depend upon a spectral decomposition of the flow fields.
However, such calculations have been limited to two-dimensional situations.
Here we present a method that yields orthogonal decompositions of
incompressible, three-dimensional flow fields and apply it to periodic
cylindrical and spherical no-slip boundaries.Comment: 16 pages, 2 three-part figure