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

Albert Yuen and John J. Barnard
Phys. Rev. E 92, 033019 – Published 30 September 2015

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 s̃0, 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.

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  • Received 8 March 2015

DOI:https://doi.org/10.1103/PhysRevE.92.033019

©2015 American Physical Society

Authors & Affiliations

Albert Yuen*

  • Department of Nuclear Engineering, University of California, Berkeley, California 94720, USA and Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA

John J. Barnard

  • Lawrence Livermore National Laboratory, Livermore, California 94550, USA

  • *albert.yuen@berkeley.edu
  • jjbarnard@lbl.gov

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Issue

Vol. 92, Iss. 3 — September 2015

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