The linearized Laplace-Young capillary equation has been served for the depth of liquid contained in a region bounded by vertical wails at an arbitrary wedge angle 2 alpha using the Kantorovich-Lebedev transform. These solutions accurately describe the surface displacement for surface contact angles gamma close enough to pi/2, for both convex and concave (re-entrant) wedge angles.By matching solutions of the linearized Laplace-Young equation solutions onto the exactly known one-dimensional nonlinear Laplace-Young wall solutions, far-field approximations are obtained for arbitrary contact angle gamma situations for possibly a restricted range of wedge angles.
|Pages (from-to)||553 - 561|
|Journal||Quarterly Journal of Mechanics and Applied Mathematics|
|Publication status||Published - 1998|