A mathematical model was developed to describe the thermo-and gas-dynamic processes for the equipment included in the Fermilab Central Helium Liquefier coldboxes. The model is based on a finite element approach, opposite to a global variables approach, thus providing for higher accuracy and conversion stability. Though the coefficinets used in equations are unique for a given coldbox, the general approach, the equations, the methods of computations, and most of the subroutines written in FORIRAN can be readily applied to different coldboxes. The simulation results are compared against actual operating data to demonstrate applicability of the model.
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