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Chin. Phys. B, 2014, Vol. 23(3): 034701    DOI: 10.1088/1674-1056/23/3/034701
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

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

Wang Lu (王璐), Cai Wei-Hua (蔡伟华), Li Feng-Chen (李凤臣)
School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China
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

[1] Toms B A 1949 Proceedings of the First International Congress of Rheology (Amsterdam: North Holland) p. 135
[2] Burger E D, Munk W R and Wahl H A 1982 J. Pet. Technol. 34 377
[3] Walker D T and Tiederman W G 1990 J. Fluid Mech. 218 377
[4] Bewersdorff H W and Ohlendorf D 1988 Colloid. Polym. Sci. 266 941
[5] Virk P S, Merrill E W, Mickley H S, Smith K A and Molo-Christensen E L 1967 J. Fluid Mech. 30 305
[6] Zakin J L, Liu B and Bewersdorff H W 1998 Rev. Chem. Eng. 14 253
[7] Hellsten M 2002 J. Surfactants. Deterg. 4 65
[8] Li F C, Yu B, Wei J J and Hishida K 2008 Int. J. Heat Mass Transfer 51 835
[9] Li F C, Kawaguchi Y, Segawa T and Hishida K 2005 Phys. Fluids 17 075104
[10] Li F C, Kawaguchi Y, Hishida K and Oshima M 2006 Exp. Fluids 40 218
[11] Aguilar G, Gasljevic K and Matthys E F 1999 J. Heat Transfer 121 796
[12] Wei J J, Kawaguchi Y, Li F C, Yu B, Zakin J L, Hart D J and Zhang Y 2009 Int. J. Heat Mass Transfer 52 3547
[13] Cai W H, Li F C, Zhang H N, Li X B, Yu B, Wei J J, Kawaguchi Y and Hishida K 2009 Phys. Fluids 21 115103
[14] Sureshkumar R, Beris A N and Handler R A 1997 Phys. Fluids 9 743
[15] Dimitropoulos C D, Sureshkumar R and Beris A N 1998 J. Non-Newtonian Fluid Mech. 79 433
[16] Ptasinski P K, Boersma B J, Nieuwstadt F T M, Hulsen M A, Van den Brule B H A A and Hunt J C R 2003 J. Fluid Mech. 490 251
[17] Li C F, Gupta V K, Sureshkumar R and Khomami B 2006 J. Non-Newtonian Fluid Mech. 139 177
[18] Min T, Yoo J Y, Choi H and Joseph D D 2003 J. Fluid Mech. 486 213
[19] Tamano S, Itohm M, Hoshizaki K and Yokota K 2007 Phys. Fluids 19 075106
[20] Cai W H, Li F C and Zhang H N 2011 Chin. Phys. B 20 124702
[21] Cruz D O A and Pinho F T 2003 J. Non-Newtonian Fluid Mech. 144 109
[22] Cruz D O A, Pinho F T and Resende P R 2004 J. Non-Newtonian Fluid Mech. 121 127
[23] Smagorinsky J 1963 Mon. Weather Rev. 91 99
[24] Germano M, Piomelli U, Moin P and Cabot W H 1991 Phys. Fluids A 3 1760
[25] Bardina J 1983 Improved Turbulence Models Based on Large Eddy Simulation of Homogeneous, Incompressible, Turbulent Flows (Ph. D. dissertation) (Stanford: Stanford University)
[26] Domaradzki J A and Saiki E M 1997 Phys. Fluids 9 2148
[27] Stolz S and Adams N A 1999 Phys. Fluids 11 1699
[28] Stolz S, Adams N A and Klesiser L 2001 Phys. Fluids 13 997
[29] Stolz S, Adams N A and Klesiser L 2001 Phys. Fluids 13 2985
[30] Pruett C D 2000 AIAA J. 38 1634
[31] Pruett C D, Thomas B C, Grosch C E and Gatski T B 2006 Phys. Fluids 18 028104
[32] Thais L, Tejada-Martinez A E, Gatski T B and Mompean G 2010 Phys. Fluids 22 013103
[33] Gotoh T, Fukayama D and Nakano T 2002 Phys. Fluids 14 1065
[34] Rogallo R S 1981 Technical Report No. 81315, NASA
[35] van Doorn E, White C M and Sreenivasan K R 1999 Phys. Fluids 11 2387
[36] Praud O, Fincham A M and Sommeria J 2005 J. Fluids Mech. 522 1
[37] Cai W H, Li F C and Zhang H N 2010 J. Fluids Mech. 665 334
[38] Li F C, Cai W H, Zhang H N and Wang Y 2012 Chin. Phys. B 21 114701
[39] Vaithianathan T and Collins L R 2003 J. Comput. Phys. 187 1
[40] Vaithianathan T, Robert A, Brasseur J G and Collins L R 2006 J. Non-Newtonian Fluid Mech. 140 3
[41] Chen S Y, Doolen G D, Kraichnan R H and She Z S 1993 Phys. Fluids 5 458
[42] Kline S J 1967 J. Fluid Mech. 30 741
[43] Min T, Yoo J Y and Choi H 2001 J. Non-Newtonian Fluid Mech. 100 27
[44] Siggia E D 1981 J. Fluid Mech. 107 375
[45] Douady S, Couder Y and Brachet M E 1991 Phys. Rev. Lett. 67 983
[46] Hunt J C R, Wray A and Moin P 1988 Center for Turbulence Research CTR-S88 193
[47] Dubief Y and Delcayre F 2000 J. Turbulence 1 1
[48] Chakraborty P, Balachandar S and Adrian R J 2005 J. Fluid Mech. 535 185
[49] Horiuti K and Takagi Y 2005 Phys. Fluids 17 1
[50] Daubechies I 1988 Commun. Pur. Appl. Math. 41 909
[51] Daubechies I 1992 Ten Lectures on Wavelet (1st edn.) (Philadelphia: Society for Industrial and Applied Mathematics) p. 194
[52] Siggia E D 1981 Phys. Fluids 24 1934
[53] Benzi R, Ciliberto S, Tripiccione R, Baudet C, Massaioli F and Succi S 1993 Phys. Rev. E 48 R29
[54] Wei T and Willmarth W W 1989 J. Fluid Mech. 204 57
[55] Kawaguchi Y, Segawa T, Feng Z P and Li P W 2002 Int. J. Heat Fluid Flow 23 700
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