Benzi Roberto, Procaccia Itamar
Dipartimento di Fisica and INFM, Università Tor Vergata, Via della Ricerca Scientifica 1, I-00133 Roma, Italy.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Aug;68(2 Pt 2):025303. doi: 10.1103/PhysRevE.68.025303. Epub 2003 Aug 18.
Direct numerical simulations established that the finite-extension nonlinear-elasticity-Peterlin (FENE-P) model of viscoelastic flows exhibits the phenomenon of turbulent drag reduction which is caused in experiments by dilute polymeric additives. To gain analytic understanding of the phenomenon, we introduce in this paper a simple one-dimensional model of the FENE-P equations. We demonstrate drag reduction in the simple model, and explain analytically the main observations which include (i) reduction of velocity gradients for fixed throughput and (ii) increase of throughput for fixed dissipation.
直接数值模拟表明，粘弹性流动的有限伸长非线性弹性 - 彼得林（FENE - P）模型呈现出湍流减阻现象，这种现象在实验中是由稀释的聚合物添加剂引起的。为了从分析角度理解该现象，我们在本文中引入了一个简单的FENE - P方程一维模型。我们在这个简单模型中证明了减阻现象，并从分析角度解释了主要观测结果，其中包括：（i）在固定流量下速度梯度的降低；（ii）在固定耗散下流量的增加。
