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Title: Magnetic-field generation and its effect on ablative Rayleigh–Taylor instability in diffusive ablation fronts

Abstract

The effects of self-generated magnetic fields on the ablative Rayleigh–Taylor (RT) instability are investigated in the linear regime. The main governing parameters are the Froude number (Fr), which stands for the ratio between ablative convection and acceleration of the target, and the Mach number at the ablation front (Ma), assumed to be small (isobaricity). During the development of the RT instability, magnetic fields are generated due to misalignment between pressure and density gradients (Biermann-battery effect). They accumulate at the section of the ablation front where the Nernst and the plasma velocities cancel each other. The magnetic field modifies the dynamics of the instability through the Righi–Leduc term, which acts as a heat source in the energy equation. It is found that the B fields affect perturbations with short wavelengths up to the most unstable wave in the spectrum. Here, the B field plays a destabilizing role for moderate Froude numbers and becomes stabilizing for large Froude numbers. For plastic ablators, the Fr threshold is found to be Fr = 5.

Authors:
ORCiD logo [1];  [1];  [2]; ORCiD logo [1]
+ Show Author Affiliations
  1. Univ. of Rochester, NY (United States)
  2. Univ. Politécnica de Madrid (Spain)
Publication Date:
Research Org.:
Univ. of Rochester, NY (United States). Lab. for Laser Energetics
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); National Aeronautics and Space Administration (NASA); USDOE Office of Science (SC), Fusion Energy Sciences (FES)
OSTI Identifier:
1762221
Alternate Identifier(s):
OSTI ID: 1756208; OSTI ID: 1778860; OSTI ID: 1866778
Report Number(s):
2020-195; 1613; 2566
Journal ID: ISSN 1070-664X; 2020-195, 1613, 2566; TRN: US2205859
Grant/Contract Number:  
NA0003856; SC0020229; SC0019329; 80NSSC18K0772; NA0003914; SC0016258; SC0014318
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 28; Journal Issue: 1; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Magnetic fields; Hydrodynamics; Flow instabilities; Electromagnetism; Fluid mechanics; Magnetohydrodynamics; Plasmas

Citation Formats

García-Rubio, F., Betti, R., Sanz, J., and Aluie, H. Magnetic-field generation and its effect on ablative Rayleigh–Taylor instability in diffusive ablation fronts. United States: N. p., 2021. Web. doi:10.1063/5.0031015.
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García-Rubio, F., Betti, R., Sanz, J., & Aluie, H. Magnetic-field generation and its effect on ablative Rayleigh–Taylor instability in diffusive ablation fronts. United States. https://doi.org/10.1063/5.0031015
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García-Rubio, F., Betti, R., Sanz, J., and Aluie, H. Fri . "Magnetic-field generation and its effect on ablative Rayleigh–Taylor instability in diffusive ablation fronts". United States. https://doi.org/10.1063/5.0031015. https://www.osti.gov/servlets/purl/1762221.
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@article{osti_1762221,
title = {Magnetic-field generation and its effect on ablative Rayleigh–Taylor instability in diffusive ablation fronts},
author = {García-Rubio, F. and Betti, R. and Sanz, J. and Aluie, H.},
abstractNote = {The effects of self-generated magnetic fields on the ablative Rayleigh–Taylor (RT) instability are investigated in the linear regime. The main governing parameters are the Froude number (Fr), which stands for the ratio between ablative convection and acceleration of the target, and the Mach number at the ablation front (Ma), assumed to be small (isobaricity). During the development of the RT instability, magnetic fields are generated due to misalignment between pressure and density gradients (Biermann-battery effect). They accumulate at the section of the ablation front where the Nernst and the plasma velocities cancel each other. The magnetic field modifies the dynamics of the instability through the Righi–Leduc term, which acts as a heat source in the energy equation. It is found that the B fields affect perturbations with short wavelengths up to the most unstable wave in the spectrum. Here, the B field plays a destabilizing role for moderate Froude numbers and becomes stabilizing for large Froude numbers. For plastic ablators, the Fr threshold is found to be Fr = 5.},
doi = {10.1063/5.0031015},
journal = {Physics of Plasmas},
number = 1,
volume = 28,
place = {United States},
year = {Fri Jan 08 00:00:00 EST 2021},
month = {Fri Jan 08 00:00:00 EST 2021}
}
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Publisher's Version of Record
https://doi.org/10.1063/5.0031015
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