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

Abstract

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 themore » 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.« less

Authors:
 [1];  [1];  [1];  [1];  [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1237372
Report Number(s):
SAND-2015-1134J
Journal ID: ISSN 0098-2202; 567051
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Fluids Engineering
Additional Journal Information:
Journal Volume: 31; Journal Issue: 5; Journal ID: ISSN 0098-2202
Publisher:
American Association of Mechanical Engineers (ASME)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; resonance; pistons; springs; vibration; flow (dynamics); bellows (equipment); geometry; Poiseuille flow; damping; pressure

Citation Formats

Romero, Louis A., Torczynski, John R., Clausen, Jonathan R., O'Hern, Timothy J., and Benavides, Gilbert L. Gas-enabled resonance and rectified motion of a piston in a vibrated housing filled with a viscous liquid. United States: N. p., 2015. Web. doi:10.1115/1.4032216.
Romero, Louis A., Torczynski, John R., Clausen, Jonathan R., O'Hern, Timothy J., & Benavides, Gilbert L. Gas-enabled resonance and rectified motion of a piston in a vibrated housing filled with a viscous liquid. United States. doi:10.1115/1.4032216.
Romero, Louis A., Torczynski, John R., Clausen, Jonathan R., O'Hern, Timothy J., and Benavides, Gilbert L. Mon . "Gas-enabled resonance and rectified motion of a piston in a vibrated housing filled with a viscous liquid". United States. doi:10.1115/1.4032216. https://www.osti.gov/servlets/purl/1237372.
@article{osti_1237372,
title = {Gas-enabled resonance and rectified motion of a piston in a vibrated housing filled with a viscous liquid},
author = {Romero, Louis A. and Torczynski, John R. and Clausen, Jonathan R. and O'Hern, Timothy J. and Benavides, Gilbert L.},
abstractNote = {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.},
doi = {10.1115/1.4032216},
journal = {Journal of Fluids Engineering},
number = 5,
volume = 31,
place = {United States},
year = {2015},
month = {11}
}

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    Works referencing / citing this record:

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

    • Torczynski, John R.; O'Hern, Timothy J.; Clausen, Jonathan R.
    • Journal of Fluids Engineering, Vol. 141, Issue 9
    • DOI: 10.1115/1.4042757

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

    • Torczynski, John R.; O'Hern, Timothy J.; Clausen, Jonathan R.
    • Journal of Fluids Engineering, Vol. 141, Issue 9
    • DOI: 10.1115/1.4042757