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Axisymmetric surface oscillations in a cylindrical container with compensated gravity.

Jens Gerstmann¹, Michael E Dreyer

¹ZARM-Center of Applied Space Technology and Microgravity, University of Bremen, Bremen, Germany. gerstm@zarm.uni-bremen.de

Annals of the New York Academy of Sciences

|November 25, 2006

Summary

This study numerically investigates liquid surface oscillations in cylinders under low gravity, crucial for spacecraft fluid management. Findings reveal contact line behavior significantly impacts oscillation frequency and damping.

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Area of Science:

Fluid dynamics
Aerospace engineering
Physics of liquids

Background:

Spacecraft fluid reorientation during ballistic flight.
Liquid surface oscillations governed by contact line dynamics.
Importance of understanding free surface behavior in microgravity.

Purpose of the Study:

Numerically investigate the first mode of axisymmetric surface oscillations.
Analyze the influence of contact line conditions and viscous effects.
Determine effects on natural frequency and damping.

Main Methods:

Numerical simulation of liquid interface oscillations.
Investigation of contact angle variations and viscous effects.
Analytical approximations for frequency and damping.

Main Results:

Contact line behavior is critical for oscillation frequency and damping.
Analytical approximations derived for frequency and damping.
Numerical results show excellent agreement with experimental data.

Conclusions:

Contact line conditions and viscous effects significantly alter oscillation characteristics.
Developed analytical models provide accurate predictions.
Validated numerical approach for spacecraft fluid behavior studies.