Maximum stress produced by bubble growth in a condensed phase

Ward, C. A.; Yee, D.; Tikuisis, Peter

doi:10.1063/1.335670

Cited by 2 publications

(3 citation statements)

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“…Since there are two possible equilibrium values of Lo, for a given set of experimentally controllable variables, the question arises as to which of the possible equilibrium configurations the system will occupy. The situation of more than one equilibrium state has been encountered in a number of similar circumstances (Ward, Tikuisis & Venter 1982;Ward et al 1983;Ward & Levart 1984;Ward, Yee & Tikuisis 1985) and in those circumstances the appearance of two equilibrium states could be physically understood once the thermodynamic stability of the different equilibrium states had been examined. The idea of such analyses is that equilibrium states correspond to extrema in the thermodynamic potential.…”

Section: Equilibrium Phase Boundary Shape In Terms Of Experimenmentioning

confidence: 99%

“…unstable, metastable or stable equilibrium respectively). Following a similar approach to that used by Ward et al (1982Ward et al ( , 1983Ward et al ( , 1984Ward et al ( , 1985, the difference in the Helmholtz potential from a reference state was evaluated for different values of R, and hence different configurations. The reference state that was used is that in which the system consists solely of a homogeneous liquid phase.…”

Section: Equilibrium Phase Boundary Shape In Terms Of Experimenmentioning

confidence: 99%

“…Physically, if the liquid phase were initially homogeneous with the given values of T, V, N and w, then Lo, would define the threshold size that must be produced in the nucleation event in order for homogeneous bubble nucleation to occur in the liquid phase. If a bubble of size greater than this were produced in the nucleation event, it would grow to the size corresponding to LOE where it would be stable (Forest & Ward 1977, 1978Tucker &Ward 1975;Ward, Balakrishnan & Hooper 1970;Ward et al 1985). An example of the variation of the parameter Lo, with rotation rate when the other thermodynamic variables are fixed is shown in figure 4.…”

Section: Equilibrium Phase Boundary Shape In Terms Of Experimenmentioning

confidence: 99%

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Bubble shapes in rotating two-phase fluid systems: a thermodynamic approach

1996

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A method is reported for predicting the shape of the phase boundary in two-phase isothermal constant-volume constant-mass rotating fluid systems. In contrast to previous methods that have employed the continuum concept of pressure, the proposed method uses the thermodynamic concept. The latter requires, in addition to the usual condition of a force balance existing at the boundary, that the equilibrium phase boundary shape be such that there is no net mass flux. The latter condition is imposed by requiring that the chemical potentials in the different phases be equal at the phase boundary. A non-dimensional parameter is defined that allows one to determine when the effects of a gravitational field acting at 90° to the axis of rotation may be neglected. Experiments have been performed under conditions where this restriction is satisfied. With known values of the experimentally controllable variables, the proposed method has been used to predict the length of the vapour phase. To within the experimental error, the predicted lengths are found to be in agreement with the measurements. If, however, a gravitational field of a sufficient magnitude is imposed the vapour phase has been found to become unstable and to break into two or more separate bubbles. Using the variable-gravity environment of an aircraft following a parabolic flight path, this instability has been investigated. By approximating the gravitational effects, the theoretical description has been extended and a method proposed to determine the conditions under which the phase boundary becomes unstable. If the angle of action of the net viscous shear force on the bubble were known, a prediction of the breakup could be made entirely in terms of experimentally controllable parameters. Using arguments for the value of this angle, bounds on the breakup condition are compared with experimental results.

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Section: Equilibrium Phase Boundary Shape In Terms Of Experimenmentioning

confidence: 99%