A vapor flow model for analysis of liquid-metal heat pipe startup from a frozen state

Abstract

A free-molecular, transition and continuum vapor flow model, based on the dusty gas model, is developed and incorporated in HPTAM, a two-dimensional heat pipe transient analysis model, to analyze the startup of a radiatively-cooled sodium heat pipe from a frozen state. The calculated wall temperatures at different times during the startup transient are in good agreement with measurements. Results showed that minimal sublimation and resolidification of sodium occurred in the early time of the transient, during which the vapor flow is free molecular. The melting of sodium in the wick occurred initially in the radial direction, then axially after the complete thaw of the evaporator section. Subsequent evaporation of liquid sodium caused the vapor flow in the evaporator to transition to the continuum regime. A continuum vapor flow front propagated axially toward the condenser, following the melt front in the wick region. The heat rejection capability of the heat pipe increased gradually as the continuum vapor flow front traveled along the condenser.