Theoretical-analytical Solution to the Problem of Steady Subcritical Flow of Gaseous Coolant in Branches of Pipelines of Heat Exchange Units

The study provides analytical solutions to the problem of determining the flow parameters at the branch points of the coolant flow in a heat exchanger line. Previously, only numerical solutions to the problem were considered. In this work, the choice of a theoretical model for mathematical modeling of the flow of a refrigerant in a gas in the heat exchange line branch is justified, which shows an acceptable level of approximation to the real flow and the required computational complexity: a thermodynamic model of a stable subcritical flow of compressed gas. With the appropriate analog definition of boundary conditions, the problem of determining the parameters of the gas refrigerant in the heat exchanger tube bend can be solved analytically much easier than for a T-shaped connector. The analytical solutions presented for the specific problem of combining the gas refrigerant flow in the heat exchanger line serve as a basis for performing similar analytical solutions for the separation of the flows. The following results were obtained in this study: Analytical solutions for the dual flow problem of the gas refrigerant flow in the heat exchanger line, previously only numerical solutions were available for this problem.