SURFACE-TENSION EFFECTS IN A WEDGE

The linearized Laplace-Young capillary equation has been served for th e depth of liquid contained in a region bounded by vertical wails at a n arbitrary wedge angle 2 alpha using the Kantorovich-Lebedev transfor m. These solutions accurately describe the surface displacement for su rface contact angles gamma close enough to pi/2, for both convex and c oncave (re-entrant) wedge angles. By matching solutions of the lineari zed Laplace-Young equation solutions onto the exactly known one-dimens ional nonlinear Laplace-Young wall solutions, far-field approximations are obtained for arbitrary contact angle gamma situations for possibl y a restricted range of wedge angles.