For a finite solidly rotating cylindrical liquid layer of thickness (a-b) in a tank the damped natural axisymmetric frequencies have been determined. The liquid was considered incompressible and viscous. The cases of freely slipping edges and that of anchored edges have been treated. It was found that instability appears in a purely aperiodic root for the spinning liquid bridge. This is in contrast to the instability appearing in the damped oscillatory natural frequency of a non-spinning liquid column at h/a >= 2pi. The spinning viscous liquid layer exhibits the same instability as the frictionless liquid. It appears at h/a >= 2pi/(square root of 1+We) for axisymmetric oscillations.
Natural damped frequencies and axial response of a sloshing rotating finite viscous liquid layer in a cylindrical container
Gedämpfte Frequenzen und axiales Antwortverhalten einer viskosen Flüssigkeitsschicht im rotierenden zylindrischen Behälter
Forschung im Ingenieurwesen - Engineering Research ; 60 , 7/8 ; 193-205
1994
13 Seiten, 8 Bilder, 24 Quellen
Article (Journal)
English
Axisymmetric damped frequencies of a rotating finite visco-elastic liquid column
Online Contents | 1996
|Natural sloshing frequencies of liquid cargo in road tankers
Automotive engineering | 2005
|Natural sloshing frequencies of liquid cargo in road tankers
Tema Archive | 2005
|Sloshing dynamics of a viscous liquid in a spinning horizontal cylindrical tank
Online Contents | 2008
|