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Title: Generation of highly symmetric, cylindrically convergent shockwaves in water

Authors:
 [1];  [2];  [2];  [1];  [1]; ORCiD logo [2];  [2];  [2];  [1]
  1. Institute of Shock Physics, Imperial College London, London SW7 2BW, United Kingdom
  2. Physics Department, Technion - Israel Institute of Technology, Haifa 32000, Israel
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1372124
Grant/Contract Number:
F03-02NA00057 and DE-SC-0001063
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 24; Journal Issue: 8; Related Information: CHORUS Timestamp: 2018-02-14 14:36:10; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics
Country of Publication:
United States
Language:
English

Citation Formats

Bland, S. N., Krasik, Ya. E., Yanuka, D., Gardner, R., MacDonald, J., Virozub, A., Efimov, S., Gleizer, S., and Chaturvedi, N.. Generation of highly symmetric, cylindrically convergent shockwaves in water. United States: N. p., 2017. Web. doi:10.1063/1.4994328.
Bland, S. N., Krasik, Ya. E., Yanuka, D., Gardner, R., MacDonald, J., Virozub, A., Efimov, S., Gleizer, S., & Chaturvedi, N.. Generation of highly symmetric, cylindrically convergent shockwaves in water. United States. doi:10.1063/1.4994328.
Bland, S. N., Krasik, Ya. E., Yanuka, D., Gardner, R., MacDonald, J., Virozub, A., Efimov, S., Gleizer, S., and Chaturvedi, N.. 2017. "Generation of highly symmetric, cylindrically convergent shockwaves in water". United States. doi:10.1063/1.4994328.
@article{osti_1372124,
title = {Generation of highly symmetric, cylindrically convergent shockwaves in water},
author = {Bland, S. N. and Krasik, Ya. E. and Yanuka, D. and Gardner, R. and MacDonald, J. and Virozub, A. and Efimov, S. and Gleizer, S. and Chaturvedi, N.},
abstractNote = {},
doi = {10.1063/1.4994328},
journal = {Physics of Plasmas},
number = 8,
volume = 24,
place = {United States},
year = 2017,
month = 8
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on July 20, 2018
Publisher's Accepted Manuscript

Citation Metrics:
Cited by: 2works
Citation information provided by
Web of Science

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  • A weakly nonlinear (WN) model has been developed for the incompressible Rayleigh-Taylor instability (RTI) in cylindrical geometry. The transition from linear to nonlinear growth is analytically investigated via a third-order solutions for the cylindrical RTI initiated by a single-mode velocity perturbation. The third-order solutions can depict the early stage of the interface asymmetry due to the bubble-spike formation, as well as the saturation of the linear (exponential) growth of the fundamental mode. The WN results in planar RTI [Wang et al., Phys. Plasmas 19, 112706 (2012)] are recovered in the limit of high-mode number perturbations. The difference between the WNmore » growth of the RTI in cylindrical geometry and in planar geometry is discussed. It is found that the interface of the inward (outward) development spike/bubble is extruded (stretched) by the additional inertial force in cylindrical geometry compared with that in planar geometry. For interfaces with small density ratios, the inward growth bubble can grow fast than the outward growth spike in cylindrical RTI. Moreover, a reduced formula is proposed to describe the WN growth of the RTI in cylindrical geometry with an acceptable precision, especially for small-amplitude perturbations. Using the reduced formula, the nonlinear saturation amplitude of the fundamental mode and the phases of the Fourier harmonics are studied. Thus, it should be included in applications where converging geometry effects play an important role, such as the supernova explosions and inertial confinement fusion implosions.« less
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