Vorticity Transport in Turbulent Pipe Flow

Abstract

Taylor (1915) drew attention to an identity which connects the gradient in Reynolds stress with the transport of components of vorticity. Numerical results for this transport of vorticity for pipe flow are presented. The difference between the two terms in this vorticity transport, scaled by outer variables at high Reynolds number, must be 0 for Couette flow, -1 for channel flow and -2 for pipe flow. Each vorticity flux and the difference between them are examined from a consideration of the corresponding probability density function (pdf) and the associated symmetric “cumulative integral (CI) for the mean value”. The CI results show that the last 10% of the final mean value is contributed b..