Vd. Kubenko et Va. Savin, Construction of the velocity potential of a semiinfinite liquid column excited by a spherical calotte oscillating inside a cylindrical cavity, INT AP MECH, 36(3), 2000, pp. 358-366
A semiinfinite liquid column excited by a spherical calotte oscillating ins
ide a rigid cylindrical cavity is considered. The solution of the Laplace e
quation is searched for under boundary conditions on spherical, cylindrical
, and flat surfaces hounding the liquid, The possibility of decomposing a s
pherical harmonic function in terms of cylindrical harmonic functions and v
ice versa is considered, The potential constructed is used to evaluate the
pressure and the velocity of the liquid.