Bubble rise in molten glasses and silicate melts during heating and cooling cycles.
Bubble rise in molten glasses and silicate melts during heating and cooling cycles.
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DOI：
10.1111/jace.18680
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发表时间：
2022-12
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影响因子：
--
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Hadamard-Rybczynski 方程描述了粘性液体中无约束球形气泡的稳态浮力上升速度。该解决方案已针对液体粘度保持恒定的情况进行了实验验证。在这里，我们通过开发气泡位置的解决方案将这一结果扩展到非等温条件，其中我们考虑了随时间变化的液体粘度、液体和气体密度以及气泡半径。我们通过实验验证了该解决方案，通过将气腔切割成玻璃板，在熔融硅酸盐液体中产生球形气泡，将玻璃板堆叠起来，然后在玻璃化转变区间加热。含有气泡的液体具有强烈的温度依赖性粘度，经过各种加热和冷却程序，使得气泡上升速度在实验中发生变化。我们发现，即使在应用复杂的温度-时间路径之后，我们的预测也与在冷却玻璃块中测量的气泡的最终观察位置相匹配，处于实验不确定性范围内。我们探索该解决方案在工业、艺术和自然火山应用问题中的应用。
The Hadamard–Rybczynski equation describes the steady‐state buoyant rise velocity of an unconfined spherical bubble in a viscous liquid. This solution has been experimentally validated for the case where the liquid viscosity is held constant. Here, we extend this result for non‐isothermal conditions, by developing a solution for bubble position in which we account for the time‐dependent liquid viscosity, liquid and gas densities, and bubble radius. We validate this solution using experiments in which spherical bubbles are created in a molten silicate liquid by cutting gas cavities into glass sheets, which are stacked, then heated through the glass transition interval. The bubble‐bearing liquid, which has a strongly temperature‐dependent viscosity, is subjected to various heating and cooling programs such that the bubble rise velocity varies through the experiment. We find that our predictions match the final observed position of the bubble measured in blocks of cooled glass to within the experimental uncertainty, even after the application of a complex temperature–time pathway. We explore applications of this solution for industrial, artistic, and natural volcanological applied problems.
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影响因子：
3.9
作者：
Manga, M
通讯作者：
Manga, M
影响因子：
5.3
作者：
Degruyter, W.;Bachmann, O.;Manga, M.
通讯作者：
Manga, M.
DOI：
10.1111/j.1151-2916.1981.tb15869.x
发表时间：
1981-01-01
影响因子：
3.9
作者：
ONORATO, PIK;WEINBERG, MC;UHLMANN, DR
通讯作者：
UHLMANN, DR
影响因子：
5.3
作者：
Giordano, Daniele;Russell, James K.;Dingwell, Donald B.
通讯作者：
Dingwell, Donald B.
DOI：
10.13036/17533546.57.6.205
发表时间：
2016-12-01
影响因子：
0.3
作者：
Cable, Michael
通讯作者：
Cable, Michael