Rarefaction waves in van der Waals fluids with an arbitrary number of degrees of freedom
Abstract
The isentropic expansion of an instantaneously and homogeneously heated foil is calculated using a 1D fluid model. The initial temperature and density are assumed to be in the vicinity of the critical temperature and solid density, respectively. The fluid is assumed to satisfy the van der Waals equation of state with an arbitrary number of degrees of freedom. Self-similar Riemann solutions are found. With a larger number of degrees of freedom f, depending on the initial dimensionless entropy $$˜\atop{s_0}$$, a richer family of foil expansion behaviors have been found. We calculate the domain in parameter space where these behaviors occur. In total, eight types of rarefaction waves are found and described.
- Authors:
-
- Univ. of California, Berkeley, CA (United States). Dept. of Nuclear Engineering; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES)
- OSTI Identifier:
- 1234615
- Alternate Identifier(s):
- OSTI ID: 1222414
- Report Number(s):
- LLNL-JRNL-677085
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: 3; 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. Rarefaction waves in van der Waals fluids with an arbitrary number of degrees of freedom. United States: N. p., 2015.
Web. doi:10.1103/PhysRevE.92.033019.
Yuen, Albert, & Barnard, John J. Rarefaction waves in van der Waals fluids with an arbitrary number of degrees of freedom. United States. https://doi.org/10.1103/PhysRevE.92.033019
Yuen, Albert, and Barnard, John J. Wed .
"Rarefaction waves in van der Waals fluids with an arbitrary number of degrees of freedom". United States. https://doi.org/10.1103/PhysRevE.92.033019. https://www.osti.gov/servlets/purl/1234615.
@article{osti_1234615,
title = {Rarefaction waves in van der Waals fluids with an arbitrary number of degrees of freedom},
author = {Yuen, Albert and Barnard, John J.},
abstractNote = {The isentropic expansion of an instantaneously and homogeneously heated foil is calculated using a 1D fluid model. The initial temperature and density are assumed to be in the vicinity of the critical temperature and solid density, respectively. The fluid is assumed to satisfy the van der Waals equation of state with an arbitrary number of degrees of freedom. Self-similar Riemann solutions are found. With a larger number of degrees of freedom f, depending on the initial dimensionless entropy $˜\atop{s_0}$, a richer family of foil expansion behaviors have been found. We calculate the domain in parameter space where these behaviors occur. In total, eight types of rarefaction waves are found and described.},
doi = {10.1103/PhysRevE.92.033019},
journal = {Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics},
number = 3,
volume = 92,
place = {United States},
year = {Wed Sep 30 00:00:00 EDT 2015},
month = {Wed Sep 30 00:00:00 EDT 2015}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 2 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Transient States of Matter during Short Pulse Laser Ablation
journal, July 1998
- Sokolowski-Tinten, K.; Bialkowski, J.; Cavalleri, A.
- Physical Review Letters, Vol. 81, Issue 1
Progress in the study of warm dense matter
journal, November 2005
- Koenig, M.; Benuzzi-Mounaix, A.; Ravasio, A.
- Plasma Physics and Controlled Fusion, Vol. 47, Issue 12B
On the Critical Point of Tungsten
journal, January 2002
- Rakhel, A. D.; Kloss, A.; Hess, H.
- International Journal of Thermophysics, Vol. 23, Issue 5, p. 1369-1380
Interaction of femtosecond laser pulses with ultrathin foils
journal, August 1998
- Forsman, A.; Ng, A.; Chiu, G.
- Physical Review E, Vol. 58, Issue 2
Laser–solid interaction in the femtosecond time regime
journal, February 1997
- von der Linde, D.; Sokolowski-Tinten, K.; Bialkowski, J.
- Applied Surface Science, Vol. 109-110
Expansion of matter heated by an ultrashort laser pulse
journal, February 1999
- Inogamov, N. A.; Petrov, Yu. V.; Anisimov, S. I.
- Journal of Experimental and Theoretical Physics Letters, Vol. 69, Issue 4
Nonlinear hydrodynamic waves: Effects of the equation of state
journal, September 2004
- Bulgakova, N. M.; Burakov, I. M.
- Physical Review E, Vol. 70, Issue 3
Determining the equation-of-state isentrope in an isochoric heated plasma
journal, August 2004
- Foord, M. E.; Reisman, D. B.; Springer, P. T.
- Review of Scientific Instruments, Vol. 75, Issue 8
Improvement of the Van Der Waals equation of state
journal, January 1984
- Soave, G.
- Chemical Engineering Science, Vol. 39, Issue 2
Theory and simulation of warm dense matter targets
journal, July 2007
- Barnard, J. J.; Armijo, J.; More, R. M.
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 577, Issue 1-2
Molecular-dynamics simulation of rarefaction waves in media that can undergo phase transitions
journal, February 2000
- Zhakhovskii, V. V.; Nishihara, K.; Anisimov, S. I.
- Journal of Experimental and Theoretical Physics Letters, Vol. 71, Issue 4
Frontiers of dense plasma physics with intense ion and laser beams and accelerator technology
journal, March 2006
- Hoffmann, D. H. H.; Blazevic, A.; Rosmej, O. N.
- Physica Scripta, Vol. T123
Equation-of-state properties of high-energy-density matter using intense heavy ion beams with an annular focal spot
journal, July 2000
- Tahir, N. A.; Hoffmann, D. H. H.; Kozyreva, A.
- Physical Review E, Vol. 62, Issue 1
Possibility of an unequivocal test of different models of the equation of state of aluminum in the coupling regime Γ∼1–50
journal, April 2002
- Perrot, François; Dharma-wardana, M. W. C.; Benage, John
- Physical Review E, Vol. 65, Issue 4
Brominated plastic equation of state measurements using laser driven shocks
journal, March 1998
- Koenig, M.; Benuzzi, A.; Faral, B.
- Applied Physics Letters, Vol. 72, Issue 9
Rarefaction shock wave: Formation under short pulse laser ablation of solids
journal, March 2001
- Bulgakova, Nadezhda M.; Bourakov, Igor M.; Bulgakova, Natalia A.
- Physical Review E, Vol. 63, Issue 4
Ion-beam-driven warm dense matter experiments
journal, August 2010
- Bieniosek, F. M.; Barnard, J. J.; Friedman, A.
- Journal of Physics: Conference Series, Vol. 244, Issue 3
Pulsed laser evaporation: equation-of-state effects
journal, December 1999
- Anisimov, S. I.; Inogamov, N. A.; Oparin, A. M.
- Applied Physics A: Materials Science & Processing, Vol. 69, Issue 6
Van der Waals Picture of Liquids, Solids, and Phase Transformations
journal, May 1983
- Chandler, D.; Weeks, J. D.; Andersen, H. C.
- Science, Vol. 220, Issue 4599
Plasma-based studies with intense X-ray and particle beam sources
journal, July 2002
- Lee, R. W.; Baldis, H. A.; Cauble, R. C.
- Laser and Particle Beams, Vol. 20, Issue 3