EDDY VISCOSITY AND VELOCITY DISTRIBUTION IN TURBULENT PIPE-FLOW REVISITED

An algebraic expression involving three universal constants is propose d for the eddy momentum diffusivity in fully developed turbulent pipe flow that adequately simulates its variation throughout the pipe cross -section. The model permits analytical integration to provide a single universal correlation that, unlike other available expressions, smoot hly and accurately describes the entire turbulent velocity distributio n from the inner region in the immediate vicinity of the wall all the way to the core region near the pipe axis and compares well with the e xisting correlations and experimental data. Accurate values of the max imum velocity and other flow variables of engineering interest can als o be calculated from the velocity profile expression.