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Title: Self-similar ablative flow of nonstationary accelerating foil due to nonlinear heat conduction

Abstract

Ablating plasma flow of an accelerating foil driven by nonlinear heat conduction is investigated theoretically. It is shown that the hydrodynamic system admits a new self-similar solution describing the nonstationary ablation process, through which the payload mass decreases to burn out at the end. In contrast to previous analyses based on stationary flow, the present solution provides a practical physical picture with a finite peak density and a distinct vacuum boundary at the front. The system is solved as a novel eigenvalue problem such that the acceleration and the heat conductivity are restrictive with each other under the self-similar evolution. Scaling laws are obtained to describe the temporal evolution for the shell acceleration and such ablation performances as the mass ablation rate and the ablation pressure.

Authors:
; ;  [1]
  1. Institute of Laser Engineering, Osaka University, Osaka (Japan)
Publication Date:
OSTI Identifier:
20974842
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 14; Journal Issue: 2; Other Information: DOI: 10.1063/1.2437750; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ABLATION; ACCELERATION; BOUNDARY LAYERS; EIGENVALUES; FRACTALS; LASERS; NONLINEAR PROBLEMS; PEAKS; PERFORMANCE; PLASMA; PLASMA DENSITY; PLASMA PRESSURE; SCALING LAWS; THERMAL CONDUCTION

Citation Formats

Murakami, M., Sakaiya, T., and Sanz, J. Self-similar ablative flow of nonstationary accelerating foil due to nonlinear heat conduction. United States: N. p., 2007. Web. doi:10.1063/1.2437750.
Murakami, M., Sakaiya, T., & Sanz, J. Self-similar ablative flow of nonstationary accelerating foil due to nonlinear heat conduction. United States. doi:10.1063/1.2437750.
Murakami, M., Sakaiya, T., and Sanz, J. Thu . "Self-similar ablative flow of nonstationary accelerating foil due to nonlinear heat conduction". United States. doi:10.1063/1.2437750.
@article{osti_20974842,
title = {Self-similar ablative flow of nonstationary accelerating foil due to nonlinear heat conduction},
author = {Murakami, M. and Sakaiya, T. and Sanz, J.},
abstractNote = {Ablating plasma flow of an accelerating foil driven by nonlinear heat conduction is investigated theoretically. It is shown that the hydrodynamic system admits a new self-similar solution describing the nonstationary ablation process, through which the payload mass decreases to burn out at the end. In contrast to previous analyses based on stationary flow, the present solution provides a practical physical picture with a finite peak density and a distinct vacuum boundary at the front. The system is solved as a novel eigenvalue problem such that the acceleration and the heat conductivity are restrictive with each other under the self-similar evolution. Scaling laws are obtained to describe the temporal evolution for the shell acceleration and such ablation performances as the mass ablation rate and the ablation pressure.},
doi = {10.1063/1.2437750},
journal = {Physics of Plasmas},
number = 2,
volume = 14,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}