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On turbulent friction in straight ducts with complex cross-section: the wall law and the hydraulic diameter

On turbulent friction in straight ducts with complex cross-section: the wall law and the hydraulic diameter

We develop predictive formulae for frictional resistance in ducts with complex cross-sectional shape based on the use of the log law and neglect of wall shear stress non-uniformities. The traditional hydraulic diameter naturally emerges from the analysis as the controlling length scale for common duct shapes such as triangles and …