Characteristic speeds and shock waves in helium II

Q: What does this research mean for the field?

A continuous two-fluid mixture model with an internal variable can be used to determine the propagation characteristics of mechanical and thermal waves, as well as the Rankine-Hugoniot jump conditions across a shock front in helium II. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

Vito Antonio Cimmelli

doi:10.1515/jnet-2026-0032

September 10, 2026Journal of Non-Equilibrium Thermodynamics

Characteristic speeds and shock waves in helium II

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Key Points

To analyze characteristic wave propagation speeds and shock front jump conditions within a continuous two-fluid model of helium II featuring an internal variable.
Formulated a continuum mechanics model representing helium II as a two-fluid mixture governed by an internal state variable.
Derived governing equations to calculate characteristic speeds for mechanical and thermal wave propagation.
Evaluated the Rankine-Hugoniot jump relations across discontinuous shock fronts in the fluid.
Characterized the propagation behavior and characteristic speeds of both mechanical and thermal wave modes in the continuum mixture.
Defined the mathematical structure of Rankine-Hugoniot jump conditions governing state transitions across helium II shock fronts.

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Implication

Theoretical modeling study demonstrates wave propagation and shock conditions in helium II, highlighting the behavior of coupled mechanical and thermal waves across shock fronts.

Abstract

We consider a continuous model of helium II represented as a two-fluid mixture with an internal variable. We investigate some physical properties of the model, such as the propagation of mechanical and thermal waves, as well as the Rankine-Hugoniot jump conditions across a shock front.

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Vito Antonio Cimmelli (2026) studied this question.

synapsesocial.com/papers/6aa51f49327956e4761f982f https://doi.org/10.1515/jnet-2026-0032

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Characteristic speeds and shock waves in helium II

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Abstract

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Characteristic speeds and shock waves in helium II

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