## Abstract

Three dynamics equations for vortex line density are analyzed. It is shown that the Vinen equation gives the values of vortex tangle development time in the case of a constant counterflow more accurately than other alternative equations. Within the system of equations of superfluid turbulence hydrodynamics, obtained using a phenomenological approach, helium boiling times as a function of heat flux density are found, using alternative dynamics equations of vortex tangle density. Unlike the experiments in which different dependences of boiling time t_{boil} on the heat flux density Q (t_{boil} Q^{n}, -4 ≤ n ≤ -2) are observed, in this case we get only a power-law dependence with an exponent of n = -4. We obtain a velocity distribution of the normal component along the channel, and the temperature dependence of the time near the heater. We conduct a comparison against the numerical and experimental results that were previously obtained in literature.

Original language | English |
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Pages (from-to) | 29-35 |

Number of pages | 7 |

Journal | Low Temperature Physics |

Volume | 44 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Jan 2018 |

## Keywords

- NORMAL-FLUID TURBULENCE
- II THERMAL COUNTERFLOW
- LIQUID-HELIUM
- MUTUAL FRICTION
- VISUALIZATION
- HEII
- FILM
- CONDUCTIVITY
- RECONNECTION
- TRANSITION