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Response of a Viscous Liquid Column to Axial Excitation in Zero‐Gravity
Author(s) -
Bauer H. F.
Publication year - 1990
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19900700902
Subject(s) - excitation , amplitude , viscous liquid , mechanics , slip (aerodynamics) , resonance (particle physics) , viscosity , physics , materials science , thermodynamics , atomic physics , optics , quantum mechanics
The response of a viscous liquid column to axial excitation has been determined analytically. For a simplified analytical treatment the no‐slip condition at the top and the bottom of the liquid column has been abandoned, while the normal condition could be satisfied. The free liquid surface elevation, the radial‐ and axial velocity distribution have been presented for various surface tension parameters σa/qv 2 , aspect ratios l/a and at various locations inside and along the liquid bridge as functions of the forcing frequency parameter Ωa 2 /v. It could be noticed that due to viscosity the resonance amplitudes are finite and that the lowest resonance is sharply tuned.