High reynolds number computation for turbulent heat transfer in a pipe flow

Abstract

Turbulent transport computations for fully-developed turbulent pipe flow were carried out by means of a direct numerical simulation (DNS) procedure. To investigate the effect of Reynolds number on the turbulent sturcures, the Reynolds number based on a friction velocity and a pipe radius was set to be Reτ = 150, 180, 360, 500, 1050. The number of maximum computational grids used for Reτ = 1050 is 1024 × 512 × 768 in the z−, r−and φ-directions, respectively. The friction coefficients are in good agreement with the empirical correlation. The turbulent quantities such as the mean flow, turbulent stresses, turbulent kinetic energy budget, and the turbulent statistics were obtained. It is found that the turbulent structures depend on these Reynolds numbers.