title: Prediction and simulation of compressive shocks with lower perturbed density for increasing shock strength in real gases.
abstract: In this paper we predict and simulate a peculiar type of compressive shock in a real gas modeled by the van der Waals constitutive equation. This shock produces a phase transition from the gas to the liquid phase and, under some special circumstances, back to the gas phase. This shock has a quite unusual property that when the perturbed pressure (the pressure after a shock) increases, the perturbed density decreases and tends to a limit value from above, in contrast with the ordinary well-known compressive shock in which the density tends to the limit value from below. To achieve such a compressive upper shock, it is necessary to choose the unperturbed state (the state before the shock) in a very thin region in the ρp plane, characterized by low values of density and pressure, near the gas-liquid coexistence curve. This region, which depends on the internal degrees of freedom of a constituent molecule, is completely identified.
authors.affiliation: Graduate School of Engineering, Nagoya Institute of Technology, Nagoya 466-8555, Japan.
authors.forename: Shigeru
authors.initials: S
authors.lastname: Taniguchi
authors.forename: Andrea
authors.initials: A
authors.lastname: Mentrelli
authors.forename: Tommaso
authors.initials: T
authors.lastname: Ruggeri
authors.forename: Masaru
authors.initials: M
authors.lastname: Sugiyama
authors.forename: Nanrong
authors.initials: N
authors.lastname: Zhao