Rarefaction waves in van der Waals fluids with an arbitrary number of degrees of freedom

Journal Article · Wed Sep 30 04:00:00 UTC 2015 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

DOI: https://doi.org/10.1103/PhysRevE.92.033019 · OSTI ID:1234615

Yuen, Albert ^[1]; Barnard, John J. ^[2]

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1. Univ. of California, Berkeley, CA (United States). Dept. of Nuclear Engineering; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

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.

• Research Organization: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Fusion Energy Sciences (FES) (SC-24)
• Grant/Contract Number: AC52-07NA27344; FG02-04ER41289
• OSTI ID: 1234615
• Report Number(s): LLNL-JRNL--677085
• Journal Information: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, Journal Name: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics Journal Issue: 3 Vol. 92; ISSN 1539-3755; ISSN PLEEE8
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English