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Gas-enabled resonance and rectified motion of a piston in a vibrated housing filled with a viscous liquid

Journal Article · · Journal of Fluids Engineering
DOI:https://doi.org/10.1115/1.4032216· OSTI ID:1237372

Herein, we show how introducing a small amount of gas can completely change the motion of a solid object in a viscous liquid during vibration. We analyze an idealized system exhibiting this behavior: a piston moving in a liquid-filled housing, where the gaps between the piston and the housing are narrow and depend on the piston position. Recent experiments have shown that vibration causes some gas to move below the piston and the piston to subsequently move downward and compress its supporting spring. Herein, we analyze the analogous but simpler situation in which the gas regions are replaced by bellows with similar pressure-volume relationships. We show that these bellows form a spring (analogous to the pneumatic spring formed by the gas regions) which enables the piston and the liquid to oscillate in a mode that does not exist without this spring. This mode is referred to here as the Couette mode because the liquid in the gaps moves essentially in Couette flow (i.e., with almost no component of Poiseuille flow). Since Couette flow by itself produces extremely low damping, the Couette mode has a strong resonance. We show that, near this resonance, the dependence of the gap geometry on the piston position produces a large rectified (net) force on the piston during vibration. As a result, this force can be much larger than the piston weight and the strength of its supporting spring and is in the direction that decreases the flow resistance of the gap geometry.

Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC04-94AL85000
OSTI ID:
1237372
Report Number(s):
SAND--2015-1134J; 567051
Journal Information:
Journal of Fluids Engineering, Journal Name: Journal of Fluids Engineering Journal Issue: 5 Vol. 31; ISSN 0098-2202
Publisher:
American Association of Mechanical Engineers (ASME)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (1)

Gas-Induced Motion of a Piston in a Vibrated Liquid-Filled Housing journal March 2019

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