Mathematical Modeling of Non-Stationary Modes of a Helium Liquefier

Dynamic models of a heat exchanger, a turboexpander, a helium phase separator, and a dynamic model of the entire helium liquefaction installation were created. This model is necessary for modeling unsteady operating conditions of a helium liquefier. When creating models for heat exchangers, laws of conservation of energy of flows, heat transfer walls, the core and body of heat exchangers were used along with laws of conservation of energy and mass for the helium phase separator. The system of equations for unknown values in exact coordinates and time is solved by the finite difference method. The obtained results adequately describe the unsteady processes taking place in the installation.