The mean velocity profile characteristics determination for a wide range of Reynolds numbers

The analytical formula of the mean velocity profile for a turbulent flow in a circular pipe was derived by the author of this project. This formula was derived on the basis of the vorticity distribution over the pipe cross-section. It is necessary to know characteristics of the mean velocity profiles which depend on the Reynolds number (Re). These characteristics are the velocity at the pipe axis, vorticity at the wall, the first vorticity derivative at the pipe axis, the average velocity radius, and two exponents. All of them are acquired from experimental data. The first characteristics suggestion was done from Princeton superpipe data (PSP). Mean velocity profiles were measured by a pitot probe for the air flow in the pipe for a wide range of Re. During data analysis were discovered some doubts about measurement precision. Therefore, new noninvasive measurements have to be done to be able to prove the mean velocity profile characteristics as functions of the Re. The PIV method will be used for the measurement.