An analytical study is performed on the dynamics and hydrodynamic stability of liquid-vapor mixtures in the bubbly-flow range in reciprocating motion through a horizontal channel. The perturbation technique is applied on the one-dimensional conservation equations for laminar flow and on the thermodynamic equation of state. The Laplace transform is operated on the linearized equations from which a transfer function is derived, relating the flow rate change due to a change in pressure drop along the channel. The resulting characteristic equation is analyzed to determine the dynamic behavior of the two-phase flow in reciprocating motion and the conditions for neutral stability under which self-induced oscillations occur. The natural frequency of the physical system is derived, which can be used to predict the resonance that will occur in forced vibrations. Results can be applied to systems such as car suspensions (shock absorbers) in which oil is susceptible to cavitation, resulting in bubbly flow due to vibrations. Conditions under which resonance occurs in the two-phase system are determined. Resonance leads to severe oscillations and noise generation, as experienced in shock absorbers in car suspensions.
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March 1999
Research Papers
Analysis on Liquid-Vapor Bubbly-Flow Systems in Reciprocating Motion
Claudia O. Iyer,
Claudia O. Iyer
Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI 48109-2125
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Wen-Jei Yang
Wen-Jei Yang
Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI 48109-2125
Search for other works by this author on:
Claudia O. Iyer
Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI 48109-2125
Wen-Jei Yang
Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI 48109-2125
J. Fluids Eng. Mar 1999, 121(1): 185-190 (6 pages)
Published Online: March 1, 1999
Article history
Received:
September 15, 1997
Revised:
October 13, 1998
Online:
December 4, 2007
Citation
Iyer, C. O., and Yang, W. (March 1, 1999). "Analysis on Liquid-Vapor Bubbly-Flow Systems in Reciprocating Motion." ASME. J. Fluids Eng. March 1999; 121(1): 185–190. https://doi.org/10.1115/1.2822000
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