Affiliation:
1. Department of Aeronautics and Astronautics, Stanford University , Stanford, California 94305, USA
Abstract
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.
Subject
Condensed Matter Physics,Fluid Flow and Transfer Processes,Mechanics of Materials,Computational Mechanics,Mechanical Engineering
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