Logarithmic Velocity Profile for Turbulent Flow in Straight Rough Pipe and Evaluation of Karman Constant with Boundary Layer Reynolds Number- A Complete Solution [ ]


This paper deals with the derivation of logarithm velocity distribution in the turbulent overlap region considering roughness element k as an important parameter. Milikan’s method primarily did not consider roughness element. Complete solution together with the value of Karman constant has been obtained. The mathematical structure is based on Ipsen’s method of dimensional analysis followed by Boltzmann entropy formalism.