Axisymmetric natural damped frequencies of a viscous liquid in a circular cylindrical Container — An alternative semi-analytical solutionAxialsymmetrische schwingungen einer viskosen Flüssigkeit im zylindrischen Tank. — Eine alternative semi-analytische Lösung

For axisymmetric liquid motion (m=0) in a circular cylindrical Container nlled with an incompressible and viscous liquid the natural damped frequencies are determined. The analysis satisfies the side wall conditions exactly while only the normal Container bottom condition could be satisfied. This restricts the Solution results to liquid height flllings h/a to larger values (h/a>1). It was found that with increase of the liquid height ratio h/a the oscillation frequency and decay magnitude are both increasing.