A physical solution for solving the zero-flow singularity in static thermal-hydraulics mixing models

Abstract

Abstract \rFor the 0D-1D modelling of thermal-hydraulics sys-\rtems, it is common practice to use static mixing \rmodels to compute the mixing specific enthalpy in \rfluid junctions such as mergers or splitters. However, \rthis simplification leads to a well known singularity \rwhen the mass flow rate inside the junction goes to \rzero. The origin of the singularity is explained, and a \rrigorous physical solution is proposed to eliminate \rthe singularity. A prototype implementation has been \rdeveloped in the ThermoSysPro library for power \rplant modelling that illustrates the interest of the \rproposed solution, shows the impact on the structure \rof the library and enables to evaluate the computing \roverhead with respect to several possible variants.