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Open AccessArticle

Reynolds Stress Model for Viscoelastic Drag-Reducing Flow Induced by Polymer Solution

by Yi Wang
National Engineering Laboratory for Pipeline Safety/MOE Key Laboratory of Petroleum Engineering/Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, Beijing 102249, China
Polymers 2019, 11(10), 1659; https://doi.org/10.3390/polym11101659
Received: 10 July 2019 / Revised: 9 October 2019 / Accepted: 9 October 2019 / Published: 11 October 2019
Viscoelasticity drag-reducing flow by polymer solution can reduce pumping energy of pipe flow significantly. One of the simulation manners is direct numerical simulation (DNS). However, the computational time is too long to accept in engineering. Turbulent model is a powerful tool to solve engineering problems because of its fast computational ability. However, its precision is usually low. To solve this problem, we introduce DNS to provide accurate data to construct a high-precision turbulent model. A Reynolds stress model for viscoelastic polymer drag-reducing flow is established. The rheological behavior of the drag-reducing flow is described by the Giesekus constitutive Equation. Compared with the DNS data, mean velocity, mean conformation tensor, drag reduction, and stresses are predicted accurately in low Reynolds numbers and Weissenberg numbers but worsen as the two numbers increase. The computational time of the Reynolds stress model (RSM) is only 1/120,960 of DNS, showing the advantage of computational speed.
Keywords: Reynolds stress model; polymer; turbulent model; drag reduction; DNS Reynolds stress model; polymer; turbulent model; drag reduction; DNS
MDPI and ACS Style

Wang, Y. Reynolds Stress Model for Viscoelastic Drag-Reducing Flow Induced by Polymer Solution. Polymers 2019, 11, 1659.

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