The article presents the analysis of the 1D flow of compressible fluid by means of analytical and numerical methods. The results from the solution showed that the calculation of dimensionless velocity for particular flow conditions varies in the area of subsonic flow only a very little, when using both methods. It was found that the dependence of dimensionless velocity on the relative duration of the investigated tunnel applies universally. For any proportional value of the tunnel length x/L and the constant ratio of outlet and inlet cross section of the tunnel level equal to 0.6474, the course of the dimensionless velocity for each tunnel, which satisfies the above condition, will always be the same. This means that also the nature of flow in any such tunnel will exhibit the same properties. This finding provides new knowledge from the analysis of air flow through a channel with a variable flow cross section.