Surface and interface oscillations in an immiscible spherical viscoelastic system
Abstract
The transcendental frequency equation for various viscoelastic immiscible spherical liquid systems in a zerogravity environment is presented. The natural damped frequencies depend on the viscosity, surface tension, density, and the Maxwell relaxation time. For a freely floating sphere, the numerical results exhibit higher natural frequencies with larger surface tension and stronger oscillation decay for smaller relaxation times. Increasing viscosity results in stronger oscillation decay. With decreasing surface tension, the oscillation ceases to exist, and an aperiodic motion of the drop results for a small relaxation parameter. At higher surface tension, the oscillation of the sphere exhibits higher frequencies and larger decay.
 Publication:

Acta Mechanica
 Pub Date:
 September 1985
 Bibcode:
 1985AcMec..56..127B
 Keywords:

 Free Vibration;
 Interfacial Tension;
 Microgravity Applications;
 Solubility;
 Spheres;
 Viscoelasticity;
 Bessel Functions;
 Equations Of Motion;
 Floating;
 Legendre Functions;
 Resonant Frequencies;
 Space Commercialization;
 Space Manufacturing;
 Spherical Coordinates;
 Weightlessness;
 Fluid Mechanics and Heat Transfer