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Title: Experimental validation of thermodynamic mixture rules at extreme pressures and densities

Abstract

Accurate modeling of a mixed material Equation of State (EOS) at high pressures (~1 to 100 Mbar) is critical for simulating inertial confinement fusion and high energy density systems. Here, this paper presents a comparison of two mixing rule models to the experiment to assess their applicability in this regime. The shock velocities of polystyrene, aluminum, and nickel aluminide (NiAl) were measured at a shock pressure of ~3 TPa (~30 Mbar) on the Omega EP laser facility (Laboratory for Laser Energetics, University of Rochester, New York). The resultant shock velocities were compared to those derived from the RAGE (Eulerian) hydrodynamics code to validate various mixing rules used to construct an EOS for NiAl. The simulated shock transit time through the sample (Al or NiAl) matched the measurements to within the ±45ps measurement uncertainty. The law of partial volume (Amagat) and the law of partial pressure (Dalton) mixture rules provided equally good matches to the NiAl shock data. Other studies showed that the Amagat mixing rule is superior, and we recommend it since our results also show a satisfactory match. In conclusion, the comparable quality of the simulation to data for the Al and NiAl samples implies that a mixture rulemore » can supply an EOS for plasma mixtures with adequate fidelity for simulations where mixing takes place, such as advective mix in an Eulerian code or when two materials are mixed together via diffusion, turbulence, or other physical processes.« less

Authors:
 [1];  [1];  [1];  [1];  [1];  [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Univ. of New Mexico, Albuquerque, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP) (NA-10)
OSTI Identifier:
1422918
Report Number(s):
LA-UR-17-23776
Journal ID: ISSN 1070-664X; TRN: US1801668
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 25; 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; 36 MATERIALS SCIENCE

Citation Formats

Bradley, Paul Andrew, Loomis, Eric Nicholas, Merritt, Elizabeth Catherine, Guzik, Joyce Ann, Denne, Patrick Hagen, and Clark, T. T. Experimental validation of thermodynamic mixture rules at extreme pressures and densities. United States: N. p., 2018. Web. doi:10.1063/1.5006200.
Bradley, Paul Andrew, Loomis, Eric Nicholas, Merritt, Elizabeth Catherine, Guzik, Joyce Ann, Denne, Patrick Hagen, & Clark, T. T. Experimental validation of thermodynamic mixture rules at extreme pressures and densities. United States. doi:10.1063/1.5006200.
Bradley, Paul Andrew, Loomis, Eric Nicholas, Merritt, Elizabeth Catherine, Guzik, Joyce Ann, Denne, Patrick Hagen, and Clark, T. T. Fri . "Experimental validation of thermodynamic mixture rules at extreme pressures and densities". United States. doi:10.1063/1.5006200. https://www.osti.gov/servlets/purl/1422918.
@article{osti_1422918,
title = {Experimental validation of thermodynamic mixture rules at extreme pressures and densities},
author = {Bradley, Paul Andrew and Loomis, Eric Nicholas and Merritt, Elizabeth Catherine and Guzik, Joyce Ann and Denne, Patrick Hagen and Clark, T. T.},
abstractNote = {Accurate modeling of a mixed material Equation of State (EOS) at high pressures (~1 to 100 Mbar) is critical for simulating inertial confinement fusion and high energy density systems. Here, this paper presents a comparison of two mixing rule models to the experiment to assess their applicability in this regime. The shock velocities of polystyrene, aluminum, and nickel aluminide (NiAl) were measured at a shock pressure of ~3 TPa (~30 Mbar) on the Omega EP laser facility (Laboratory for Laser Energetics, University of Rochester, New York). The resultant shock velocities were compared to those derived from the RAGE (Eulerian) hydrodynamics code to validate various mixing rules used to construct an EOS for NiAl. The simulated shock transit time through the sample (Al or NiAl) matched the measurements to within the ±45ps measurement uncertainty. The law of partial volume (Amagat) and the law of partial pressure (Dalton) mixture rules provided equally good matches to the NiAl shock data. Other studies showed that the Amagat mixing rule is superior, and we recommend it since our results also show a satisfactory match. In conclusion, the comparable quality of the simulation to data for the Al and NiAl samples implies that a mixture rule can supply an EOS for plasma mixtures with adequate fidelity for simulations where mixing takes place, such as advective mix in an Eulerian code or when two materials are mixed together via diffusion, turbulence, or other physical processes.},
doi = {10.1063/1.5006200},
journal = {Physics of Plasmas},
number = 1,
volume = 25,
place = {United States},
year = {2018},
month = {1}
}

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Figures / Tables:

Figure 1 Figure 1: Edge view schematic of our Omega-EP targets (left panel). The targets all have a plastic (CH) ablator and test samples of Al or NiAl on top. Quartz witness plates were used to observe transmitted shock steadiness and strength. A thin layer of gold (preheat shield) and glue (notmore » shown) lies in between the ablator and sample (or quartz). The primary diagnostic (ASBO line VISAR system) views the sample from the top, while the laser drive is incident from below. The right panel shows the sample laser pulse for our experiments. We show pulses from the individual beams (red and blue lines)« less

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