The development of incompressible turbulent flow through a pipe of wavy crosssection was studied numerically by direct integration of the Navier-Stokes equations. Simulations were performed at Reynolds numbers of 4.5 × 10 3 and 10 4 based on the hydraulic diameter and the bulk velocity. Results for the pressure resistance coefficient λ were found to be in excellent agreement with experimental data of Schiller (Z. Angew. Math. Mech., vol. 3, 1922, pp. 2-13). Of particular interest is the decrease in λ below the level predicted from the Blasius correlation, which fits almost all experimental results for pipes and ducts of complex cross-sectional geometries. Simulation databases were used to evaluate turbulence anisotropy and provide insights into structural changes of turbulence leading to flow relaminarization. Anisotropy-invariant mapping of turbulence confirmed that suppression of turbulence is due to statistical axisymmetry in the turbulent stresses.
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