In this study, the AutoCAD technique is applied to estimate the bubble shape, which originates from the underwater combustion of pyrotechnic mixtures. To validate the method two verifying techniques are used. First, the calculations according to mathematical formulas and the AutoCAD technique are compared with respect to the examples of the area and girth of the one yuan coin and the dodecagon. Second, the area and girth of the bubbles are calculated using the AutoCAD technique and the calculation method provided by the reference, respectively, and then the calculated results are also compared. The results of the comparison of the areas and girths show that they are all in good agreement with each other. Hence, the AutoCAD technique provides a new way for estimating the bubble shape.
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This work was supported by the National Natural Science Foundation of China (Grant No. 51506222), the Natural Science Foundation of Shanxi Province (No. 2016JQ5085) and the grant from the Engineering University of Chinese Armed Police Force (Grant No. WJY201510).
The Authors declare no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.
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Di-hua, O., Qian-tao, Z. & San-xue, G. Estimating Bubble Shape Behavior from Underwater Combustion of Pyrotechnic Mixtures. Fluid Dyn 56, 10–17 (2021). https://doi.org/10.1134/S0015462821010109
- underwater combustion