Study of viscous fluid turbulent stationary flow in the transition section of the inlet section of a circular cylindrical pipe

Abstract

Because of the fluid's viscosity, the velocity field of a fluid passing through a pipe deforms. The velocity profile is rearranged to a fully developed velocity profile of the completely developed area as a result of the viscosity of the incoming fluid particles adhering to the pipe's fixed wall. An essential component of hydropneumatic automated equipment is the hydrodynamic entrance area, where the velocity profile is produced or developed and stays constant in the completely developed region. The exact operation of hydraulic units depends on its accurate design, which necessitates a thorough investigation of the hydrodynamic phenomena taking place in the hydrodynamic entrance region. A boundary problem was developed based on the boundary layer equations, and the Prandtl method for accounting friction forces in turbulent flow was used to determine the friction forces that arise between the layers. The hydrodynamic characteristics of the events taking place in the transition area were ascertained by developing a method for integrating the boundary problem. The resulting analytical answers were used in computerized experimental investigations, and velocity change graphs were created to summarize the findings. The resulting graphs make it possible to identify the pattern of speed changes in hydrodynamic entrance region and obtain quantitative indicators necessary for the design of hydraulic automatic unitst.