ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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Direct numerical simulation of elastic turbulence and its mixing-enhancement effect in a straight channel flow |
Zhang Hong-Na (张红娜)a b, Li Feng-Chen (李凤臣)a, Cao Yang (曹阳)a, Kunugi Tomoakia b, Yu Bo (宇波)c |
a School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China; b Department of Nuclear Engineering, Kyoto University, Kyoto, 606-8501, Japan; c Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum-Beijing, Beijing 102249, China |
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Abstract In this paper, we present a direct numerical simulation (DNS) of elastic turbulence of viscoelastic fluid at vanishingly low Reynolds number (Re=1) in a three-dimensional straight channel flow for the first time, using the Giesekus constitutive model for the fluid. In order to generate and maintain the turbulent fluid motion in the straight channel, a sinusoidal force term is added to the momentum equation, and then the elastic turbulence is numerically realized with an initialized chaotic velocity field and a stretched conformation field. Statistical and structural characteristics of the elastic turbulence therein are analyzed based on the detailed information obtained from the DNS. The fluid mixing enhancement effect of elastic turbulence is also demonstrated for the potential applications of this phenomenon.
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Received: 31 May 2012
Revised: 30 June 2012
Accepted manuscript online:
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PACS:
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47.20.Gv
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(Viscous and viscoelastic instabilities)
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47.27.ek
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(Direct numerical simulations)
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47.27.Cn
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(Transition to turbulence)
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Fund: Project supported by the Foundation for Innovative Research Groups of the National Natural Science Foundation of China (Grant No. 51121004); the National Natural Science Foundation of China (Grant No. 51076036); the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20112302110020); the Fundamental Research Funds for the Central Universities, China (Grant No. HIT.BRET1.2010008); and the Japan Society for the Promotion of Science (JSPS) Research Fellowship. |
Corresponding Authors:
Li Feng-Chen
E-mail: lifch@hit.edu.cn
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Cite this article:
Zhang Hong-Na (张红娜), Li Feng-Chen (李凤臣), Cao Yang (曹阳), Kunugi Tomoaki, Yu Bo (宇波) Direct numerical simulation of elastic turbulence and its mixing-enhancement effect in a straight channel flow 2013 Chin. Phys. B 22 024703
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