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Non-classical gas dynamics of vapour mixtures

Published online by Cambridge University Press:  13 February 2014

Alberto Guardone ,
Piero Colonna ,
Emiliano Casati  and
Enrico Rinaldi
Alberto Guardone
Affiliation:
Department of Aerospace Science and Technology, Politecnico di Milano, Via La Masa 34, Milano, 20156, Italy
Piero Colonna*
Affiliation:
Propulsion and Power, Delft University of Technology, Kluyverweg 1, Delft, 2629 HS, The Netherlands
Emiliano Casati
Affiliation:
Propulsion and Power, Delft University of Technology, Kluyverweg 1, Delft, 2629 HS, The Netherlands Energy Department, Politecnico di Milano, Via Lambruschini 4, Milano, 20156, Italy
Enrico Rinaldi
Affiliation:
Process and Energy Department, Delft University of Technology, Leeghwaterstraat 39, 2628 CB, Delft, The Netherlands
*
†Email address for correspondence: [email protected]
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Abstract

The non-classical gas dynamics of binary mixtures of organic fluids in the vapour phase is investigated for the first time. A predictive thermodynamic model is used to compute the relevant mixture properties, including its critical point coordinates and the local value of the fundamental derivative of gas dynamics $\Gamma $. The considered model is the improved Peng–Robinson Stryjek–Vera cubic equation of state, complemented by the Wong–Sandler mixing rules. A finite thermodynamic region is found where the nonlinearity parameter $\Gamma $ is negative and therefore non-classical gas dynamics phenomena are admissible. A non-monotone dependence of $\Gamma $ on the mixture composition is observed in the case of binary mixtures of siloxane and perfluorocarbon fluids, with the minimum value of $\Gamma $ in the mixture being always larger than that of its more complex component. The observed dependence indicates that non-ideal mixing has a strong influence on the gas dynamics behaviour, either classical or non-classical, of the mixture. Numerical experiments of the supersonic expansion of a mixture flow around a sharp corner show the transition from the classical configuration, exhibiting an isentropic rarefaction fan centred at the expansion corner, to non-classical ones, including mixed expansion waves and rarefaction shock waves, if the mixture composition is changed.

JFM classification

Compressible Flows: Compressible Flows Compressible Flows: Gas dynamics Compressible Flows: Shock waves
Type
Papers
Information
Journal of Fluid Mechanics , Volume 741 , 25 February 2014 , pp. 681 - 701
Copyright
© 2014 Cambridge University Press 

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