Large-eddy simulations of a forced homogeneous isotropic turbulence with polymer additives

doi:10.1088/1674-1056/23/3/034701

Abstract Large-eddy simulations (LES) based on the temporal approximate deconvolution model were performed for a forced homogeneous isotropic turbulence (FHIT) with polymer additives at moderate Taylor Reynolds number. Finitely extensible nonlinear elastic in the Peterlin approximation model was adopted as the constitutive equation for the filtered conformation tensor of the polymer molecules. The LES results were verified through comparisons with the direct numerical simulation results. Using the LES database of the FHIT in the Newtonian fluid and the polymer solution flows, the polymer effects on some important parameters such as strain, vorticity, drag reduction, and so forth were studied. By extracting the vortex structures and exploring the flatness factor through a high-order correlation function of velocity derivative and wavelet analysis, it can be found that the small-scale vortex structures and small-scale intermittency in the FHIT are all inhibited due to the existence of the polymers. The extended self-similarity scaling law in the polymer solution flow shows no apparent difference from that in the Newtonian fluid flow at the currently simulated ranges of Reynolds and Weissenberg numbers.

Keywords: forced homogeneous isotropic turbulence polymer additives large-eddy simulation temporal approximate deconvolution model

Received: 16 June 2013
Revised: 21 July 2013
Accepted manuscript online:

PACS:	47.27.Gs	(Isotropic turbulence; homogeneous turbulence)
	47.50.-d	(Non-Newtonian fluid flows)
	47.27.ep	(Large-eddy simulations)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 51206033 and 51276046), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20112302110020), the China Postdoctoral Science Foundation (Grant No. 2011M500652), the Heilongjiang Postdoctoral Science Foundation, China (Grant No. 2011LBH-Z11139), and the Natural Scientific Research Innovation Foundation in Harbin Institute of Technology, China (Grant No. HIT.NSRIF.2012070).

Corresponding Authors: Li Feng-Chen
E-mail: lifch@hit.edu.cn

Cite this article:

Wang Lu (王璐), Cai Wei-Hua (蔡伟华), Li Feng-Chen (李凤臣) Large-eddy simulations of a forced homogeneous isotropic turbulence with polymer additives 2014 Chin. Phys. B 23 034701

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