Thermodynamic consistency as a method for modeling gas flows at channel junctions

The gas-dynamic conservation laws in integral form for sections of channels which have a bend of the axis, a jump in the cross-section area or channel branching is an open system of equations. The openness problem is solved by a method based on the independence of the thermodynamic function (pressure recovery factor) on the specified geometric arguments. The mathematical model reduces to a closed system of nonlinear algebraic equations not requiring additional hypotheses and admitting a solution in explicit form for small Mach numbers.