The surface tension driven merging of two wedge-shaped regions of fluid, an
d the wetting of a wedge shaped solid, are analyzed. Following the work of
Keller and Miksis in 1983, initial conditions are chosen so that the hows a
nd their free surfaces are self-similar at all times after the initial cont
act. Then the configuration magnifies by the factor t(2/3) and the fluid ve
locity at the point x/t(2/3) decays like t(-1/3), where me origin of x and
t are the point and time of contact. In the merging problem the vertices of
the two wedges of fluid are initially in contact. In the wetting problem,
the vertex of a wedge of fluid is initially at the corner of the solid. The
motions and free surfaces are found numerically. These results complement
those of Keller and Miksis for the wetting of a single flat surface and for
the rebound of a wedge of fluid after it pinches off from another body of
fluid. (C) 2000 Editions scientifiques et medicales Elsevier SAS.