Theoretical Analytical Solution of Problem on Stationary Subcritical Current of Gaseous Heat Carrier in Piping Bifurcations of Heat-Exchange Equipment

The aim of the paper consists in obtaining analytical solutions of the problem on current parameters in the flow bifurcations of a gaseous heat carrier in tubes of heat-exchange equipment used in air-space, shipbuilding and other engineering. The investigation method consists in the solution of the equation system of momentum, continuity and power. In the paper there is substantiated a choice of a theoretical model for a current simulation of a gaseous heat carrier in piping bifurcations of heat-exchange equipment with the allowable degree of proximity to an actual current and complexity of essential computations – a thermo-dynamic model of a subcritical, stationary current of compressible gas. There are obtained analytical solutions of the problem on the current of gaseous heat carrier flows in piping bifurcations of heat-exchange equipment used in different fields of engineering, in particular, in aero-space and shipbuilding and so on, whereas earlier took place only numerical solutions of this problem. In this paper the solutions were obtained without application of special functions used at the solution of non-linear and transcendental equations.