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Non-ideal Compressible Flows in Radial Equilibrium

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Proceedings of the 4th International Seminar on Non-Ideal Compressible Fluid Dynamics for Propulsion and Power (NICFD 2022)

Part of the book series: ERCOFTAC Series ((ERCO,volume 29))

Abstract

Compressible flows at radial equilibrium, i.e. \(\theta \)-independent flows, are investigated in the ideal, dilute-gas regime and in the non-ideal regime close to the liquid-vapour saturation curve and the critical point. A differential relation for the Mach number dependency on the radius is derived for both ideal and non-ideal conditions. For ideal flows, the relation is integrated analytically.

For flows of low molecular complexity fluids, such as diatomic nitrogen or carbon dioxide, the Mach number is a monotonically decreasing function of the radius of curvature, with the polytropic exponent \(\gamma \) being the only fluid-dependent parameter. In non-ideal conditions, the Mach number profile depends also on the total thermodynamic conditions of the fluid. For high molecular complexity fluids, such as toluene and MM (hexamethyldisiloxane), a non-monotone Mach profile is uncovered for non-ideal flows in supersonic conditions. For Bethe-Zel’dovich-Thompson fluids, the non-monotone behaviour is possible also in subsonic conditions.

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Authors and Affiliations

  1. Politecnico di Milano, Milan, Italy

    Paolo Gajoni & Alberto Guardone

Authors
  1. Paolo Gajoni
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  2. Alberto Guardone
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Correspondence to Alberto Guardone .

Editor information

Editors and Affiliations

  1. School of Engineering and Informatics, University of Sussex, Brighton, UK

    Martin White

  2. School of Science & Technology, City, University of London, London, UK

    Tala El Samad

  3. School of Science & Technology, City, University of London, London, UK

    Ioannis Karathanassis

  4. School of Science & Technology, City, University of London, London, UK

    Abdulnaser Sayma

  5. Faculty of Aerospace Engineering, Delft University of Technology, Delft, Zuid-Holland, The Netherlands

    Matteo Pini

  6. Department of Aerospace Science and Technology, Politecnico di Milano, Milan, Italy

    Alberto Guardone

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Gajoni, P., Guardone, A. (2023). Non-ideal Compressible Flows in Radial Equilibrium. In: White, M., El Samad, T., Karathanassis, I., Sayma, A., Pini, M., Guardone, A. (eds) Proceedings of the 4th International Seminar on Non-Ideal Compressible Fluid Dynamics for Propulsion and Power. NICFD 2022. ERCOFTAC Series, vol 29. Springer, Cham. https://doi.org/10.1007/978-3-031-30936-6_2

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  • DOI: https://doi.org/10.1007/978-3-031-30936-6_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-30935-9

  • Online ISBN: 978-3-031-30936-6

  • eBook Packages: EngineeringEngineering (R0)

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