1. General flow study

In certain applications, compressible fluid flows can be studied by focusing only on the main v _p component of the velocity vectors, the one whose direction is at all points perpendicular to the plane normal to the general line of the flow, also known as the mean line (figure 1 a). As the viscosity of these fluids is generally very low and the flows considered turbulent, we can assume that this component of the velocity does not vary in a straight section of the flow. Knowledge of the flow, kinematically speaking, can then be reduced to determining the value v _p of the velocity as a function of the curvilinear abscissa s. We are thus dealing with a one-dimensional flow problem in which it is assumed that all other...