Abstract
The paper reports on a pressure measurement of underwater shock waves generated by collapse of a vapor bubble using the background-oriented schlieren (BOS) technique. In the BOS system, the vapor bubble is induced by an underwater electric discharge. To estimate background-element displacement induced by the underwater shock wave, a spatiotemporal derivative (STD) algorithm is applied in image processing. Furthermore, the accuracy of the STD algorithm is evaluated using the images obtained with our BOS system relative to the cross-correlation method. Subsequently, the pressure distributions are obtained by solving the Poisson equation and applying a filtered-back projection algorithm. An experiment to visualize the behaviors of the underwater shock waves is also carried out using the shadowgraph method. As a result, the pressure waveforms estimated by the BOS technique keep consistent with that in experimental profiles. The pressure attenuations behind the underwater shock wave are also in good agreements with the experimental measurements. It is expected that the BOS technique will probably overcome the problems associated with the conventional method of pressure measurement related to the collapse of microbubbles, and becomes a promising means of quantitatively measuring high-speed phenomena.
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Acknowledgements
A part of this work was supported by JSPS KAKENHI Grant Number 16H04600 and 16K14512, National Natural Science Foundation of China through grant numbers 11772340 and 11332011. In addition, we would like to sincerely thank Nac Image Technology Inc. for the supply of optical experimental equipment.
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Wang, J., Abe, A., Nishio, S. et al. Sequential observation of rebound shock wave generated by collapse of vapor bubble in BOS system. J Vis 21, 695–710 (2018). https://doi.org/10.1007/s12650-018-0488-0
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DOI: https://doi.org/10.1007/s12650-018-0488-0