Spatial periodicity of the longitudinal gradient of the average static pressure in a pulsed turbulent flow

The velocity distributions and pressure gradients in a pulsating longitudinal flow were examined experimentally and theoretically. Analytical formulations are developed for the velocity components, together with expressions for the evolutions of the static pressure and the volumetric mass. An analytical model is presented for an averaged pulsating flow, in consideration of finite sections of a channel. The average static pressure is found to vary from section to section as a function of frequency, particularly resonant frequencies. The average static pressure varies linearly in the longitudinal direction and nonlinearly in a pulsating flow, with a dependence on the modulation frequencies.