Abstract

Starting from Prandtl's mixing length theory, this chapter contains the derivation of laws of velocity distribution in both smooth and rough turbulence. The law is then applied to circular, rectangular and triangular cross sections. It has been demonstrated that if the linear dimension representing the cross section of flow is replaced by the hydraulic radius, then the same laws of velocity distribution (for smooth and rough turbulence) can be applied to channels of arbitrary shapes. 4.1 Resistance to flow 4.2 Viscosity 4.3 Smooth and rough turbulence 4.4 Velocity distribution in turbulent flow 4.5 Velocity distribution in smooth turbulent flow 4.6 Velocity distribution in completely rough turbulence 4.7 Mean velocity in turbulent flow 4.8 Unification of the laws of mean velocity of flow References

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