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The admissibility domain of rarefaction shock waves in the near-critical vapour–liquid equilibrium region of pure typical fluids

Published online by Cambridge University Press:  14 April 2016

Nawin R. Nannan ,
Corrado Sirianni ,
Tiemo Mathijssen ,
Alberto Guardone  and
Piero Colonna
Nawin R. Nannan
Affiliation:
Mechanical Engineering Discipline, Anton de Kom University of Suriname, Leysweg 86, PO Box 9212, Paramaribo, Suriname
Corrado Sirianni
Affiliation:
Mechanical Engineering Discipline, Anton de Kom University of Suriname, Leysweg 86, PO Box 9212, Paramaribo, Suriname
Tiemo Mathijssen
Affiliation:
Propulsion and Power, Delft University of Technology, Kluyverweg 1, 2629 HS Delft, The Netherlands
Alberto Guardone
Affiliation:
Department of Aerospace Science and Technology, Politecnico di Milano, Via La Masa 34, 20156 Milano, Italy
Piero Colonna*
Affiliation:
Propulsion and Power, Delft University of Technology, Kluyverweg 1, 2629 HS Delft, The Netherlands
*
†Email address for correspondence: [email protected]
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Abstract

Application of the scaled fundamental equation of state of Balfour et al. (Phys. Lett. A, vol. 65, 1978, pp. 223–225) based upon universal critical exponents, demonstrates that there exists a bounded thermodynamic domain, located within the vapour–liquid equilibrium region and close to the critical point, featuring so-called negative nonlinearity. As a consequence, rarefaction shock waves with phase transition are physically admissible in a limited two-phase region in the close proximity of the liquid–vapour critical point. The boundaries of the admissibility region of rarefaction shock waves are identified from first-principle conservation laws governing compressible flows, complemented with the scaled fundamental equations. The exemplary substances considered here are methane, ethylene and carbon dioxide. Nonetheless, the results are arguably valid in the near-critical state of any common fluid, namely any fluid whose molecular interactions are governed by short-range forces conforming to three-dimensional Ising-like systems, including, e.g. water. Computed results yield experimentally feasible admissible rarefaction shock waves generating a drop in pressure from 1 to 6 bar and pre-shock Mach numbers exceeding 1.5.

JFM classification

Phase change: Condensation/evaporation Compressible Flows: Gas dynamics Compressible Flows: Shock waves
Type
Papers
Information
Journal of Fluid Mechanics , Volume 795 , 25 May 2016 , pp. 241 - 261
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Copyright
© 2016 Cambridge University Press 

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