Modeling of viscoelastic turbulent flow in channel and pipe

作者：Yang Shu Qing^*; Dou Guo Ren

来源：Physics of Fluids, 2008, 20(6): 065105.

DOI：10.1063/1.2920275

This paper investigates turbulent flows with or without polymer additives in open channels and pipes. Equations of mean velocity, root mean square of velocity fluctuations, and energy spectrum are derived, in which the shear stress deficit model is used and the non-Newtonian properties are represented by the viscoelasticity alpha(*). The obtained results show that, with alpha(*) increment, (1) the streamwise velocity fluctuations is increased, (2) the wall-normal velocity fluctuation is attenuated, (3) the Reynolds stress is reduced, and (4) there is a redistribution of energy from high frequencies to the low frequencies for the streamwise component, but dimensionless distribution over all frequencies almost remains the same as that in Newtonian fluid flows. Good agreement between the derived equations and experimental data in small drag-reduction regime is achieved, which indicates that the present model is workable for Newtonian/non-Newtonian fluid turbulent flows.

• 出版日期2008-6
• 单位水利部交通运输部国家能源局南京水利科学研究院