Damping of the normal oscillations of a viscous sphere
Abstract
The linear oscillations of a weightless liquid sphere are analyzed with allowance for viscous and capillary forces. The viscosity dependence of the damping rate of normal oscillations is investigated, and it is noted that, for long periods of time, this dependence is determined by the smallest real part of the eigenvalues of the problem. A numerical solution of the dispersion equation is used to obtain the dependence of this quantity on the viscosity coefficient, and a determination is made of the value of this coefficient in the case of which the motion is damped with maximal rapidity.
- Publication:
-
PMTF Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki
- Pub Date:
- June 1984
- Bibcode:
- 1984PMTF........66L
- Keywords:
-
- Flow Stability;
- Linear Vibration;
- Oscillating Flow;
- Viscous Damping;
- Asymptotic Methods;
- Drops (Liquids);
- Eigenvalues;
- Spheres;
- Vibration Damping;
- Fluid Mechanics and Heat Transfer