Isenthalpic Oscillations With Quadratic Damping
In Saturated Two-phase Fluids
Author(s)
J. V. Madison
Abstract
Saturated two-phase fluid flows are often subject to pressure induced
oscillations. Due to compressibility the vapour bubbles act as a spring with an
asymmetric non-linear characteristic. The volume of the vapour bubbles
increases or decreases differently if the pressure fluctuations are compressing or
expanding; consequently, compressing pressure fluctuations in a two-phase pipe
flow cause less displacement in the direction of the pipe flow than expanding
pressure fluctuations. The displacement depends on the ratio of liquid to vapour,
the ratio of pressure fluctuations over average pressure, on the exciting frequency
of the pressure fluctuations and the damping factor.
In addition, pressure fluctuations in saturated vapour bubbles cause
condensation and evaporation within the bubbles and change periodically the
liquid to vapour ratio and influence the dynamic parameters for the oscillation.
The oscillations conform to an isenthalpic process at constant enthalpy with no
heat transfer and no exchange of work. Due to friction forces the oscillations are
subjected to quadratic fluid damping.
The paper describes the governing non-linear equation for quadratically damped
oscillations in saturated two-phase fluids with condensation and evaporation, and
presents steady state approximate solutions for free and for pressure induced
oscillations. Resonance criteria and stability are discussed.
Keywords: two-phase flow, isenthalpic oscillations, quadratic fluid damping,
saturated fluid, condensation, evaporation, steady state solutions.
1 Introduction
A saturated two-phase fluid is a mixture of liquid and vapour. The volumetric
ratio R between the vapour and the liquid portion is defined as
Keywords
two-phase flow, isenthalpic oscillations, quadratic fluid damping,
saturated fluid, condensation, evaporation, steady state solutions.
Related Book
Other papers in this volume
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