Analytical Solution of the Stationary Subcritical Flow of a Gaseous Coolant in the Branches of the Heat Exchange Pipelines of the Apparatus

Lobanov Ie

doi:10.35840/2633-8939/7207

Abstract

In the study, analytical solutions were obtained for the problem of determining the flow parameters in the branching of the gaseous coolant flows in the pipelines of heat exchangers. Earlier it was stated that only numerical solutions of this problem can take place. The work substantiated the choice of a theoretical model for mathematical modeling of the flow of a gaseous coolant in the branches of pipelines of heat exchangers with an acceptable degree of approximation to the real flow and the complexity of the necessary calculations - a thermodynamic model of a subcritical stationary flow of a compressible gas.

Highlights

The choice of the model for the flow of the gaseous coolant in the pipeline of the heat exchanger and the corresponding fulfillment of the equality of similarity criteria for physical modeling is due to the degree of complexity of the installation design, and the choice of the model for the calculation method is determined by the permissible degree of proximity to the real flow and the complexity of the necessary calculations
Thermodynamic models of a gaseous coolant are used - models in which the change in parameters in a certain space and time is not taken into account
For the case of the confluence of flows in the heat exchanger pipeline shown in Figure 4.6, in sections 2-2 and 3-3 only one boundary condition is determined, since The main condition for this case of merging flows is the condition of equality of pressures p2 = p3, which is specified as the boundary conditions

Summary

IE Lobanov*

Doctor of Technical Sciences, Moscow Aviation Institute, National Research University, Russia. Analytical solutions were obtained for the problem of determining the flow parameters in the branching of the gaseous coolant flows in the pipelines of heat exchangers. The work substantiated the choice of a theoretical model for mathematical modeling of the flow of a gaseous coolant in the branches of pipelines of heat exchangers with an acceptable degree of approximation to the real flow and the complexity of the necessary calculations - a thermodynamic model of a subcritical stationary flow of a compressible gas. Analytical solutions of the problem of flow in the branching flows of a gaseous coolant in pipelines of heat exchangers were obtained, while earlier there were only numerical solutions of this problem. Theoretical, Analytical, Flow, Coolant, Gas, Stationary, Subcritical, Pipeline, Branching, Heat exchanger

Introduction

Main Conclusions