Characterization of rarefaction waves in van der Waals fluids
Abstract
Here, we calculate the isentropic evolution of an instantaneously heated foil, assuming a van der Waals equation of state with the Maxwell construction. The analysis by Yuen and Barnard [Phys. Rev. E 92, 033019 (2015)] is extended for the particular case of three degrees of freedom. We assume heating to temperatures in the vicinity of the critical point. The self-similar profiles of the rarefaction waves describing the evolution of the foil display plateaus in density and temperature due to a phase transition from the single-phase to the two-phase regime. The hydrodynamic equations are expressed in a dimensionless form and the solutions form a set of universal curves, depending on a single parameter: the dimensionless initial entropy. We characterize the rarefaction waves by calculating how the plateau length, density, pressure, temperature, velocity, internal energy, and sound speed vary with dimensionless initial entropy.
- Authors:
-
- University of California, Berkeley, CA (United States)
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1245717
- Alternate Identifier(s):
- OSTI ID: 1233967
- Report Number(s):
- LLNL-JRNL-621632
Journal ID: ISSN 1539-3755; PLEEE8
- Grant/Contract Number:
- AC52-07NA27344; FG02-04ER41289
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
- Additional Journal Information:
- Journal Volume: 92; Journal Issue: 6; Journal ID: ISSN 1539-3755
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION
Citation Formats
Yuen, Albert, and Barnard, John J. Characterization of rarefaction waves in van der Waals fluids. United States: N. p., 2015.
Web. doi:10.1103/PhysRevE.92.062307.
Yuen, Albert, & Barnard, John J. Characterization of rarefaction waves in van der Waals fluids. United States. https://doi.org/10.1103/PhysRevE.92.062307
Yuen, Albert, and Barnard, John J. Fri .
"Characterization of rarefaction waves in van der Waals fluids". United States. https://doi.org/10.1103/PhysRevE.92.062307. https://www.osti.gov/servlets/purl/1245717.
@article{osti_1245717,
title = {Characterization of rarefaction waves in van der Waals fluids},
author = {Yuen, Albert and Barnard, John J.},
abstractNote = {Here, we calculate the isentropic evolution of an instantaneously heated foil, assuming a van der Waals equation of state with the Maxwell construction. The analysis by Yuen and Barnard [Phys. Rev. E 92, 033019 (2015)] is extended for the particular case of three degrees of freedom. We assume heating to temperatures in the vicinity of the critical point. The self-similar profiles of the rarefaction waves describing the evolution of the foil display plateaus in density and temperature due to a phase transition from the single-phase to the two-phase regime. The hydrodynamic equations are expressed in a dimensionless form and the solutions form a set of universal curves, depending on a single parameter: the dimensionless initial entropy. We characterize the rarefaction waves by calculating how the plateau length, density, pressure, temperature, velocity, internal energy, and sound speed vary with dimensionless initial entropy.},
doi = {10.1103/PhysRevE.92.062307},
journal = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics},
number = 6,
volume = 92,
place = {United States},
year = {Fri Dec 18 00:00:00 EST 2015},
month = {Fri Dec 18 00:00:00 EST 2015}
}
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