On the propagation of waves exhibiting both positive and negative nonlinearity

Cramer, M. S.; Kluwick, A.

doi:10.1017/s0022112084000975

Cited by 133 publications

(103 citation statements)

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“…1 A detailed description of wave propagation in vapors exhibiting both positive and negative ⌫ regions, including the effects of viscosity and thermal conductivity, is given by Cramer and Kluwick. 25 Although experimental evidence of nonclassical gas dynamics in two-phase vapor/liquid [26][27][28][29][30] or solid/solid 31 systems has been documented in the past decades, no experimental proof of nonclassical phenomena in the vapor phase is currently available, with the only exception of the experiment of Borisov et al 5 in 1983, see also Kutateladze et al. 32 Yet the interpretation of the results presented in Refs.…”

Section: Introductionmentioning

confidence: 99%

Molecular interpretation of nonclassical gas dynamics of dense vapors under the van der Waals model

Colonna

Guardone

2006

Physics of Fluids

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The van der Waals polytropic gas model is used to investigate the role of attractive and repulsive intermolecular forces and the influence of molecular complexity on the possible nonclassical gas dynamic behavior of vapors near the liquid-vapor saturation curve. The decrease of the sound speed upon isothermal compression is due to the well-known action of the van der Waals attractive forces and this effect is shown here to be comparatively larger for more complex molecules with a large number of active vibrational modes; for these fluids isentropic flows are in fact almost isothermal. Contributions to the speed of sound resulting from intermolecular forces and the role of molecular complexity are analyzed in details for both isothermal and isentropic transformations. Results of the exact solution to the problem of a finite pressure perturbation traveling in a still fluid are presented in three exemplary cases: ideal gas, dense gas and nonclassical gas behavior. A classification scheme of fluids based on the possibility of exhibiting different gas dynamic behaviors is also proposed.

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Section: Introductionmentioning

confidence: 99%

Molecular interpretation of nonclassical gas dynamics of dense vapors under the van der Waals model

Colonna

Guardone

2006

Physics of Fluids

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“…The nonclassical behavior near the liquid-vapor critical-point is not related to the behavior of so-called BZT (Bethe-Zel'dovich- Thompson) fluids, which have a negative fundamental derivative of gas dynamics everywhere or in parts of the flow [3,4,15,16,25,38,39]. Due to its moderate heat capacities, SF 6 does not have a region with retrograde behavior.…”

Section: Introductionmentioning

confidence: 99%

Flow in near-critical fluids induced by shock and expansion waves

Schlamp

Rösgen

2005

Shock Waves

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Abstract. Unsteady shock and expansion waves are proposed as means to produce flows near the liquidvapor critical-point without imposing pressure gradients. By choosing appropriate initial conditions and wave speeds, near-critical post-wave conditions can be obtained. The post-shock conditions are shown to be stable with respect to perturbations in the pre-shock conditions. The initial conditions are sufficiently far from the critical-point to allow fast thermal equilibration, permitting the use of larger fluid volumes. Example calculations for the cases of an impulsively accelerated piston, of a shock tube, and of a Ludwieglike tube are presented yielding flows up to 20 m/s in sulfur hexafluoride (SF6), where the limit is due to the region of validity of the equation of state. The proposed setup also allows one to study shock wave propagation into near-critical fluids.

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“…In the non-ideal fluid-dynamic context, it is standard practice to distinguish between the cases Γ ≤ 0 and 0 < Γ ≤ 1. In the former case, one rather speaks of non-classical gasdynamics, as opposed to classical gasdynamics if Γ > 0, because unconventional phenomena such as expansion shocks, isentropic compression fans, split shocks and composite waves are allowed, see for instance references [1,8,9,10,11,12,13]. In the present work, however, the discussion will be limited to the non-ideal classical case, namely 0 < Γ ≤ 1, where shock waves are of the ordinary compressive type and isentropic fans carry an expansion.…”

Section: Introductionmentioning

confidence: 99%