Characterization of rarefaction waves in van der Waals fluids
- University of California, Berkeley, CA (United States)
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
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.
- Research Organization:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Organization:
- USDOE
- Grant/Contract Number:
- AC52-07NA27344; FG02-04ER41289
- OSTI ID:
- 1245717
- Alternate ID(s):
- OSTI ID: 1233967
- Report Number(s):
- LLNL-JRNL-621632; PLEEE8
- Journal Information:
- Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, Vol. 92, Issue 6; ISSN 1539-3755
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Similar Records
1-D Van der Waals Foams Heated by Ion Beam Energy Deposition
1-D Van der Waals Foams Heated by Ion Beam Energy Deposition