### Abstract

We construct the equations for the incompressible two-fluid model of He(II). These equations provide a set of partial differential equations governing the thermomechanical behaviour of liquid helium below the ?-point. This set of equations is similar but slightly simpler than the equations originally proposed by Landau [1]. Following the standard approach of continuum mixture theory, we derive thermodynamic restrictions on the incompressible two-fluid model. Finally, we establish conditions which ensure that classical solutions of certain initial-boundary value problems for the simplified theory depend continuously on the initial data. © 1976.

Original language | English |
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Pages (from-to) | 457-465 |

Number of pages | 9 |

Journal | International Journal of Engineering Science |

Volume | 14 |

Issue number | 5 |

Publication status | Published - 1976 |

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## Cite this

Beevers, C. E. (1976). A simplified two-fluid theory for helium(II).

*International Journal of Engineering Science*,*14*(5), 457-465.