Construction of the velocity potential of a semiinfinite liquid column excited by a spherical calotte oscillating inside a cylindrical cavity

Citation
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
Citations number
9
Categorie Soggetti
Mechanical Engineering
Journal title
INTERNATIONAL APPLIED MECHANICS
ISSN journal
10637095 → ACNP
Volume
36
Issue
3
Year of publication
2000
Pages
358 - 366
Database
ISI
SICI code
1063-7095(200003)36:3<358:COTVPO>2.0.ZU;2-8
Abstract
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.