Bell-Plesset effects for an accelerating interface with contiguous density gradients

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A Plesset-type treatment [J. Appl. Phys. 25, 96 (1954)] is used to assess the effects of contiguous density gradients at an accelerating spherical classical interface on Rayleigh-Taylor and Bell-Plesset perturbation growth. Analytic expressions are obtained that describe enhanced Rayleigh-Taylor instability growth from contiguous density gradients aligned with the acceleration and which increase the effective Atwood number of the perturbed interface. A new pathway for geometric amplification of surface perturbations on an accelerating interface with contiguous density gradients is identified. A resonance condition between the density-gradient scalelength and the radius of the interface is also predicted based on a linearized analysis ... continued below

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Amendt, P December 20, 2005.

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A Plesset-type treatment [J. Appl. Phys. 25, 96 (1954)] is used to assess the effects of contiguous density gradients at an accelerating spherical classical interface on Rayleigh-Taylor and Bell-Plesset perturbation growth. Analytic expressions are obtained that describe enhanced Rayleigh-Taylor instability growth from contiguous density gradients aligned with the acceleration and which increase the effective Atwood number of the perturbed interface. A new pathway for geometric amplification of surface perturbations on an accelerating interface with contiguous density gradients is identified. A resonance condition between the density-gradient scalelength and the radius of the interface is also predicted based on a linearized analysis of Bernoulli's equation, potentially leading to enhanced perturbation growth. Comparison of the analytic treatment with detailed two-dimensional single-mode growth-factor simulations shows good agreement for low-mode numbers where the effects of spherical geometry are most manifested.

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PDF-file: 51 pages; size: 5.5 Mbytes

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  • Journal Name: Physics of Plasmas, vol. 13, no. 4, April 1, 2006, pp. 042702; Journal Volume: 13; Journal Issue: 4

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  • Report No.: UCRL-JRNL-217862
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 943832
  • Archival Resource Key: ark:/67531/metadc897599

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • December 20, 2005

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  • Sept. 27, 2016, 1:39 a.m.

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  • Nov. 22, 2016, 9:09 p.m.

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Amendt, P. Bell-Plesset effects for an accelerating interface with contiguous density gradients, article, December 20, 2005; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc897599/: accessed July 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.