Application of the Universal Velocity Profile to Rough-Wall Pipe Flow
PHYSICS OF FLUIDS(2023)
摘要
The universal velocity profile (UVP), defined initially for a smooth pipe, is extended to pipe flow with a rough wall. Data from pipe experiments of fixed roughness fraction and varying Reynolds number are used to formulate a simple correction to the smooth-wall UVP using a function of the roughness Reynolds number. A good fit to the data is achieved using an additive velocity correction combined with a new roughness transition function that accounts for the delayed onset of roughness friction at low roughness Reynolds numbers. It is concluded that the UVP can represent rough-wall pipe flow with a very small error comparable to the smooth-wall case.
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