Assessment of thermodynamic models for dense gas dynamics

The accuracy of thermodynamic models in the computation of nonclassical gasdynamic phenomena is discussed, to investigate their suitability in connection with the design of experimental apparatuses aimed at the observation of nonclassical wavefields. The Soave–Redlich–Kwong and the Peng–Robinson are preliminarily suggested as alternative thermodynamic models to the Martin–Hou usually considered in nonclassical gasdynamics of fluorinated substances. The validity of these models is assessed by comparisons to reference experimental data for fluorinated R13, R125, C318, FC-72, FC-75, and SF6 and to the Martin–Hou model itself. The three models are found to exhibit a comparable accuracy for reduced volumes ranging from 1.4 to 2.5 and near the critical isotherm, i.e., in the thermodynamic region where heavier fluorinated substances such as PP10 are expected to exhibit nonclassical gasdynamic phenomena. The Soave–Redlich–Kwong and the Peng–Robinson models are then used to supplement previous numerical results fo...

[1]  H. Callen Thermodynamics and an Introduction to Thermostatistics , 1988 .

[2]  G. Emanuel Advanced Classical Thermodynamics , 1987 .

[3]  R. Angel Equations of State , 2000 .

[4]  S. S. Kutateladze,et al.  Rarefaction shock wave near the critical liquid–vapour point , 1983 .

[5]  George Emanuel Assessment of the Martin-Hou Equation for Modeling a Nonclassical Fluid , 1994 .

[6]  P. A. Thompson,et al.  Existence of Real Fluids with a Negative Fundamental Derivative Γ , 1972 .

[7]  S. Park,et al.  On the suppression of shock-induced separation in Bethe–Zel'dovich–Thompson fluids , 1999, Journal of Fluid Mechanics.

[8]  M. S. Cramer Negative nonlinearity in selected fluorocarbons , 1989 .

[9]  Yu-Chun Hou,et al.  Development of an equation of state for gases , 1955 .

[10]  Paolo Silva,et al.  Dense Gas Thermodynamic Properties of Single and Multicomponent Fluids for Fluid Dynamics Simulations , 2003 .

[11]  Alberto Guardone,et al.  Roe linearization for the van der Waals gas , 2002 .

[12]  N. Nevers,et al.  An improved equation of state for gases , 1959 .

[13]  A. Guardone Nonclassical gasdynamics: thermodynamic modeling and numerical simulation of multidimensional flows of BZT fluids , 2001 .

[14]  G. Soave Equilibrium constants from a modified Redlich-Kwong equation of state , 1972 .

[15]  P. A. Thompson,et al.  Negative shock waves , 1973, Journal of Fluid Mechanics.

[16]  R. Callen,et al.  Thermodynamics and an Introduction to Thermostatistics, 2nd Edition , 1985 .

[17]  P. Duhem Sur la propagation des ondes de choc au sein des fluides , 1909 .

[18]  S. G. Penoncello,et al.  Ashrae Thermodynamic Properties of Refrigerants , 1987 .

[19]  Brian Argrow Computational analysis of dense gas shock tube flow , 1996 .

[20]  Michael R. Moldover,et al.  Thermodynamic Properties of Sulfur Hexafluoride , 2000 .

[21]  D. Peng,et al.  A New Two-Constant Equation of State , 1976 .

[22]  R. Menikoff,et al.  The Riemann problem for fluid flow of real materials , 1989 .

[23]  J. Magee,et al.  Molar Heat Capacity Cv, Vapor Pressure, and (p, ρ, T) Measurements from 92 to 350 K at Pressures to 35 MPa and a New Equation of State for Chlorotrifluoromethane (R13) , 2000 .

[24]  Brian Argrow,et al.  Application of Bethe -Zel'dovich-Thompson Fluids in Organic Rankine Cycle Engines , 2000 .

[25]  D. Mylin,et al.  RAREFACTION SHOCK POSSIBILITY IN A VAN DER WAALS-MAXWELL FLUID , 1969 .

[26]  Brian Argrow,et al.  Theory for producing a single-phase rarefaction shock wave in a shock tube , 2001, Journal of Fluid Mechanics.

[27]  Brian Argrow,et al.  Construction and Validation of a Dense Gas Shock Tube , 2001 .

[28]  L. Doraiswamy,et al.  Estimation of Heat Capacity of Organic Compounds from Group Contributions , 1965 .

[29]  O. Redlich,et al.  Improved Equation of State , 1969 .

[30]  P. A. Thompson,et al.  A Fundamental Derivative in Gasdynamics , 1971 .

[31]  Joseph J. Martin EQUATIONS OF STATE—APPLIED THERMODYNAMICS SYMPOSIUM , 1967 .

[32]  M. Cramer,et al.  Nonclassical Dynamics of Classical Gases , 1991 .

[33]  M. Grigiante,et al.  Vapor phase acoustic measurements for R125 and development of a Helmholtz free energy equation , 2000 .