Experimental validation of thermodynamic mixture rules at extreme pressures and densities

Bradley, Paul Andrew; Loomis, Eric Nicholas; Merritt, Elizabeth Catherine; Guzik, Joyce Ann; Denne, Patrick Hagen; Clark, T. T.

doi:10.1063/1.5006200

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

Journal Article · Fri Jan 19 00:00:00 EST 2018 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.5006200· OSTI ID:1422918

Bradley, Paul Andrew ^[1]; Loomis, Eric Nicholas ^[1]; Merritt, Elizabeth Catherine ^[1]; Guzik, Joyce Ann ^[1]; Denne, Patrick Hagen ^[1]; Clark, T. T. ^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Univ. of New Mexico, Albuquerque, NM (United States)

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.

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Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP)

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1422918

Report Number(s):: LA-UR-17-23776; TRN: US1801668

Journal Information:: Physics of Plasmas, Vol. 25, Issue 1; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 5 works

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