Abstract
For the case when heat transfer is the main process responsible for the collapse of bubbles, the numerical solution is obtained for a non-linear non-steady problem of heat and mass transfer between a spherical vapour bubble and liquid with external pressure increasing step-wise. The Jacob number is the only similarity criterion of this problem. A set of functions R( t) ( R is the bubble radius and t the time) is tabulated over a wide range of Jacob numbers (0.01 < 1000). It is shown that the variation of Ja entails a qualitative change in the form of the function R( t). When Ja = 0, the function R( t) is convex. When 0 < Ja < 2, the curves R( t) are S-shaped, and when Ja > 2 they are concave. Tabulated numerical results taken together with analytical formulae for the limiting cases Ja ← 0 and Ja ← ∞ constitute a simple method of calculating R( t) for specific bubbles. An interpolation formula is obtained for determining the time of complete collapse of a bubble. The results of predictions are compared with experimental data.
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