Abstract
Interaction of a plane shock with two concentric/eccentric cylinders is investigated for the first time. The concentric/eccentric cylinders with a circular air cylinder embedded into an elliptic \(\hbox {SF}_6\) cylinder are formed by the improved soap film technique. The position of the inner cylinder in the streamwise direction is varying to highlight its effect on the outer cylinder evolution. The presence of the inner cylinder changes shock waves movements, and the complicated interaction among shock waves generates high pressures which drive an outward jet formation from the downstream pole of the elliptic cylinder. Such an outward jet is absent in shocked single elliptic cylinder. The pressure peak and its distance to the downstream pole rely on the inner cylinder position. The linear phase of the upstream pole movement is either prolonged or shortened, depending upon the arrival moment of the rarefaction wave reflected from the inner cylinder surface. Generally, the growth of the outer cylinder scales are promoted. The growth of the inner cylinder height (width) is inhibited (promoted) at the early stage and promoted (inhibited) at the late stage. After the shock impact, the negative and positive vorticity are mainly deposited on the outer and inner cylinder surfaces, respectively. By considering two separate shock-cylinder interactions, the circulation deposited at the early stage is well predicted by the theoretical models.
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Acknowledgements
This work was supported by the National Natural Science Foundation of China (Nos. 12022201, 11772329 and 11625211), and the Research Grants Council, Hong Kong, under contract No. 15207420.
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Xu, J., Wang, H., Feng, L. et al. Interaction of a shock with two concentric/eccentric cylinders. Exp Fluids 62, 211 (2021). https://doi.org/10.1007/s00348-021-03312-6
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DOI: https://doi.org/10.1007/s00348-021-03312-6