Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character · 1928 · 238 citations · 0 references
EngineeringCivil EngineeringFluid DynamicsHydraulic EngineeringHydraulicsLaminar FlowPipe FlowTurbulent FlowCritical VelocityLaminar Pipe FlowTurbulent Flows In Pipes
Previous research on rectangular pipes, notably by Fromm and Davies & White, has examined high side‑ratio geometries (≥6:1 or 40:1) and either turbulent or laminar flow regimes. The study aimed to investigate water flow in a rectangular‑cross‑section pipe. The authors used a rectangular pipe with a 1.178 cm² cross‑section and a side ratio of 2.92 to explore streamline flow near the critical velocity. The results showed interesting behavior of streamline flow in the critical velocity region.
The object of the research was to investigate the flow of water in a pipe of rectangular cross-section. Much work has been done on similar problems with pipes of circular section, and pipes of rectangular section have been investigated by Fromm and Davies and White. Fromm avoided with pipes in which the ratio of the sides was never less than 6 to 1; his report deals only with turbulent flow. In the case of Davies and White's research, the minimum ratio of the sides was 40 to 1, so that the laminar flow could be calculated from the formula for flow between infinitely wide parallel plates. The present writer used a pipe of section 1·178 cms. by 0·404 cms, (ratio of sides = 2·92); this presents a fresh problem were stream line flow is concerned, and shows interesting results in the region of the critical velocity.