Optimization of a hydraulic flow distribution system

Flow distribution systems are a common occurrence in various industrial applications and systems. In many of these systems it is desirable if not necessary to have a uniform flow distribution in the branch lines. Since the distributor and collector effects are the predominant cause of non-uniform branch flow, it is necessary to find a means of counteracting them. Throttling devices can be used to tune for a uniform distribution in the various branch lines. However, any throttling would require valves or tuned orifices that are unattractive from an economical view point. The method presented in this paper to achieve a uniform flow distribution was to add the momentum of the branch flow to the flow of the collector pipe. This was accomplished by inclining the flow of the branch lines when they enter the collector pipe. This paper shows the basic theory development and the results predicted by the theory of flow inclination. Also, an attempt is made to show the critical variables that affect the non-uniformity of the flow distribution