caa a22 4500 475797337 CHVBK 20180406123728.0 cr unu---uuuuu 170329e20000901xx s 000 0 eng 10.1007/PL00001516 doi (NATIONALLICENCE)springer-10.1007/PL00001516 Linear oscillations of axisymmetric viscous liquid bridges [Elektronische Daten] [J. A. Nicolás, J. M. Vega] Abstract.: Small amplitude free oscillations of axisymmetric capillary bridges are considered for varying values of the capillary Reynolds number C -1 and the slenderness of the bridge $\Lambda$ . A semi-analytical method is presented that provides cheap and accurate results for arbitrary values of C -1 and $\Lambda$ ; several asymptotic limits (namely, $C\ll 1, C\gg1, \Lambda\ll 1 \ \rm{and} \ |\pi-\Lambda|\ll 1$ ) are considered in some detail, and the associated approximate results are checked. A fairly complete picture of the (fairly complex) spectrum of the linear problem is obtained for varying values of C and $\Lambda$ . Two kinds of normal modes, called capillary and hydrodynamic respectively, are almost always clearly identified, the former being associated with free surface deformation and the latter, only with the internal flow field; when C is small the damping rate associated with both kind of modes is comparable, and the hydrodynamic ones explain the appearance of secondary (steady or slowly-varying) streaming flows. Birkhäuser Verlag, Basel,, 2000 Key words. Surface-tension-driven instability, viscous damping, liquid bridges, linear oscillations nationallicence Nicolás J. A. E.T.S.I. Aeronáuticos, Universidad Politécnica de Madrid, Madrid, Spain, e-mail: vega@fmetsia.upm.es, ES aut Vega J. M. E.T.S.I. Aeronáuticos, Universidad Politécnica de Madrid, Madrid, Spain, e-mail: vega@fmetsia.upm.es, ES aut https://doi.org/10.1007/PL00001516 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00001516 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Nicolás J. A. E.T.S.I. Aeronáuticos, Universidad Politécnica de Madrid, Madrid, Spain, e-mail: vega@fmetsia.upm.es, ES aut NATIONALLICENCE 700 1- Vega J. M. E.T.S.I. Aeronáuticos, Universidad Politécnica de Madrid, Madrid, Spain, e-mail: vega@fmetsia.upm.es, ES aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer