DNS study on viscoelastic effect in drag-reduced turbulent channel flow

References

• Toms , B.A. 1948 . Some observations on the flow of linear polymer solutions through straight tubes at large Reynolds numbers , 135 – 141 . Proceedings of First International Congress on Rheology .
   Google Scholar
• Lumley , J.L. 1969 . Drag reduction by additives . Ann. Rev. Fluid Mech. , 1 : 367 – 384 .
   Web of Science ®Google Scholar
• Nadolink , R.H. and Haigh , W.W. 1995 . Bibliography on skin friction reduction with polymers and other boundary-layer additives . ASME Appl. Mech. Rev. , 48 : 351 – 460 .
   Google Scholar
• Gyr , A. and Bewersdorff , H.-W. 1995 . Drag Reduction of Turbulent Flows by Additives , Dordrecht , , Gemany : Kluwer Academic .
   Google Scholar
• White , C.M. and Mungal , M.G. 2008 . Mechanics and prediction of turbulent drag reduction with polymer additives . Ann. Rev. Fluid Mech. , 40 : 235 – 256 .
   Web of Science ®Google Scholar
• Li , F.-C. , Kawaguchi , Y. , Segawa , T. and Hishida , K. 2005 . Reynolds-number dependence of turbulence structures in a drag-reducing surfactant solution channel flow investigated by particle image velocimetry . Phys. Fluids , 17 : 075104 13
   Web of Science ®Google Scholar
• Li , F.-C. , Kawaguchi , Y. , Yu , B. , Wei , J.-J. and Hishida , K. 2008 . Experimental study of drag-reduction mechanism for a dilute surfactant solution flow . Int. J. Heat Mass Transfer , 51 : 835 – 843 .
   Web of Science ®Google Scholar
• Cai , W.-H. , Li , F.-C. , Zhang , H.-N. , Li , X.-B. , Yu , B. , Wei , J.-J. , Kawaguchi , Y. and Hishida , K. 2009 . Study on the characteristics of turbulent drag-reducing channel flow by particle image velocimetry combining with proper orthogonal decomposition analysis . Phys. Fluids , 21 : 115103 12
   Web of Science ®Google Scholar
• Sureshkumar , R. , Beris , A.N. and Handler , R.A. 1997 . Direct numerical simulation of the turbulent channel flow of a polymer solution . Phys. Fluids , 9 : 743 – 755 .
   Web of Science ®Google Scholar
• Den Toonder , J.M.J. , Hulsen , M.A. , Kuiken , G.D.C. and Nieuwstadt , F.T.M. 1997 . Drag reduction by polymer additives in a turbulent pipe flow: Numerical and laboratory experiments . J. Fluid Mech. , 337 : 193 – 231 .
   Web of Science ®Google Scholar
• Dimitropoulos , C.D. , Sureshkumar , R. and Beris , A.N. 1998 . Direct numerical simulation of viscoelastic turbulent channel flow exhibiting drag reduction: Effect of the variation of rheological parameters . J. Non-Newto. Fluid Mech. , 79 : 433 – 468 .
   Web of Science ®Google Scholar
• Sibilla , S. and Baron , A. 2002 . Polymer stress statistics in the near-wall turbulent flow of a drag-reducing solution . Phys. Fluids , 14 : 1123 – 1136 .
   Web of Science ®Google Scholar
• De Casciola , E. , Angelis , C.M. and Piva , R. 2002 . DNS of wall turbulence: Dilute polymers and self-sustaining mechanisms . Comput. Fluids , 31 : 495 – 507 .
   Web of Science ®Google Scholar
• Min , T. , Yoo , J.Y. , Choi , H. and Joseph , D.D. 2003 . Drag reduction by polymer additives in a turbulent channel flow . J. Fluid Mech. , 486 : 213 – 238 .
   Web of Science ®Google Scholar
• Housiadas , K.D. and Beris , A.N. 2004 . An efficient fully implicit spectral scheme for DNS of turbulent viscoelastic channel flow . J. Non-Newton. Fluid Mech. , 122 : 243 – 262 .
   Web of Science ®Google Scholar
• Housiadas , K.D. and Beris , A.N. 2004 . Characteristic scales and drag reduction evaluation in turbulent channel flow of nonconstant viscosity viscoelastic fluids . Phys. Fluids , 16 : 1581 – 1586 .
   Web of Science ®Google Scholar
• Dimitropoulos , C.D. , Dubief , Y. , Shaqfeh , E.S.G. and Moin , P. 2006 . Direct numerical simulation of polymer-induced drag reduction in turbulent boundary layer flow of inhomogeneous polymer solutions . J. Fluid Mech. , 556 : 153 – 162 .
   Web of Science ®Google Scholar
• Li , C.-F. , Sureshkumar , R. and Khomami , B. 2006 . Influence of rheological parameters on polymer-induced turbulent drag reduction . J. Non-Newton. Fluid Mech. , 140 : 23 – 40 .
   Web of Science ®Google Scholar
• Kim , K. , Li , C.-F. , Sureshkumar , R. , Balachandar , S. and Adrian , R.J. 2007 . Effects of polymer stresses on eddy structures in drag-reduced turbulent channel flow . J. Fluid Mech. , 584 : 281 – 299 .
   Web of Science ®Google Scholar
• Giesekus , H. 1982 . A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility . J. Non-Newton. Fluid Mech. , 11 : 69 – 109 .
   Web of Science ®Google Scholar
• Wei , J. , Kawaguchi , Y. , Yu , B. and Feng , Z. 2006 . Rheological characteristics and turbulent friction drag and heat transfer reductions of a very dilute cationic surfactant solution . Trans. ASME C: J. Heat Transfer , 128 : 977 – 983 .
   Web of Science ®Google Scholar
• Suzuki , H. , Ishihara , K. and Usui , H. 2001 . Numerical study on a drag-reducing flow with surfactant additives , Vancouver : Proceedings 3rd Pacific Rim Conference on Rheology . (CD-ROM) paper no. 019.
   Google Scholar
• Yu , B. and Kawaguchi , Y. 2004 . Direct numerical simulation of viscoelastic drag-reducing flow: A faithful finite difference method . J. Non-Newton. Fluid Mech. , 116 : 431 – 466 .
   Web of Science ®Google Scholar
• Yu , B. , Li , F.C. and Kawaguchi , Y. 2004 . Numerical and experimental investigation of turbulent characteristics in a drag-reducing flow with surfactant additives . Int. J. Heat Fluid Flow , 25 : 961 – 974 .
   Web of Science ®Google Scholar
• Yu , B. and Kawaguchi , Y. 2006 . Parametric study of surfactant-induced drag-reduction by DNS . Int. J. Heat Fluid Flow , 27 : 887 – 894 .
   Web of Science ®Google Scholar
• Kagawa , Y. , Yu , B. , Kawaguchi , Y. , Kawamura , H. and Shiraishi , Y. 2008 . Turbulent heat transfer of viscoelastic fluid flow accompanied by drag reduction with DNS analysis . Prog. Comput. Fluid Dyn. , 8 : 477 – 485 .
   Web of Science ®Google Scholar
• Zhu , J. and Rodi , W. 1991 . A low dispersion and bounded convection scheme . Comput. Methods Appl. Mech. Eng. , 92 : 87 – 96 .
   Web of Science ®Google Scholar
• Choi , S.K. , Nam , H.Y. and Cho , M. 1995 . A comparison of higher-order bounded convection schemes . Comput. Methods Appl. Mech. Eng. , 121 : 281 – 301 .
   Web of Science ®Google Scholar
• Dean , R.D. 1978 . Reynolds number dependence of skin friction and other bulk flow variables in two-dimensional rectangular duct flow . Trans. ASME I: J. Fluids Eng. , 100 : 215 – 223 .
   Web of Science ®Google Scholar
• Virk , P.S. 1971 . Drag reduction in rough pipes . J. Fluid Mech. , 45 : 225 – 246 .
   Web of Science ®Google Scholar
• Virk , P.S. 1971 . An elastic sublayer model for drag reduction by dilute solutions of linear macromolecules . J. Fluid Mech. , 45 : 417 – 440 .
   Web of Science ®Google Scholar
• Warholic , M.D. , Massah , H. and Hanratty , T.J. 1999 . Influence of drag-reducing polymers on a turbulence: Effects of Reynolds number, concentration and mixing . Exps. Fluids , 27 : 461 – 472 .
   Web of Science ®Google Scholar
• Warholic , M.D. , Schmidt , G.M. and Hanratty , T.J. 1999 . The influence of a drag-reducing surfactant on a turbulent velocity field . J. Fluid Mech. , 388 : 1 – 20 .
   Web of Science ®Google Scholar
• 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 . Turbulent channel flow near maximum drag reduction: Simulations, experiments and mechanisms . J. Fluid Mech. , 490 : 251 – 291 .
   Web of Science ®Google Scholar
• Zakin , J.L. , Myska , J. and Chara , Z. 1996 . New limiting drag reduction and velocity profile asymptotes for nonpolymeric additives systems . AIChE J. , 42 : 3544 – 3546 .
   Web of Science ®Google Scholar
• Usui , H. , Itoh , T. and Saeki , T. 1998 . On pipe diameter effects in surfactant drag-reducing pipe flows . Rheol. Acta. , 37 : 122 – 128 .
   Web of Science ®Google Scholar
• Gasljevic , K. , Aguilar , G. and Matthys , E.F. 1999 . An improved diameter scaling correlation for turbulent flow of drag-reducing polymer solutions . J. Non-Newton. Fluid Mech. , 84 : 131 – 148 .
   Web of Science ®Google Scholar
• Fukagata , K. , Iwamoto , K. and Kasagi , N. 2002 . Contribution of Reynolds stress distribution to the skin friction in wall-bounded flows . Phys. Fluids , 14 : L73 – L76 .
   Web of Science ®Google Scholar
• Hou , Y.-X. , Somandepalli , V.S.R. and Mungal , M.G. 2006 . A technique to determine total shear stress and polymer stress profiles in drag reduced boundary layer flows . Exp. Fluids , 40 : 589 – 600 .
   Web of Science ®Google Scholar
• Antonia , R.A. , Teitel , M. , Kim , J. and Browne , L.W.B. 1992 . Low Reynolds-number effects in a fully developed turbulent channel flow . J. Fluid Mech. , 236 : 579 – 605 .
   Web of Science ®Google Scholar
• Abe , H. , Kawamura , H. and Matsuo , Y. 2001 . Direct numerical simulation of a fully developed turbulent channel flow with respect to the Reynolds number dependence . Trans. ASME I: J. Fluids Eng. , 123 : 382 – 393 .
   Web of Science ®Google Scholar
• Kim , J. , Moin , P. and Moser , R. 1987 . Turbulence statistics in fully developed channel flow at low Reynolds number . J. Fluid Mech. , 177 : 133 – 166 .
   Web of Science ®Google Scholar
• Comte-Bellot , G. 1963 . Contribution a l'étude de la turbulence de conduite, Doctoral thesis , University of Grenoble .
   Google Scholar
• Lumley , J.L. and Newman , G.R. 1977 . The return to isotropy of homogeneous turbulence . J. Fluid Mech. , 82 : 161 – 178 .
   Web of Science ®Google Scholar
• Piquet , J. 1999 . Turbulent Flows: Models and Physics , Berlin : Springer-Verlag .
   Google Scholar
• Jovanović , J. , Pashtrapanska , M. , Frohnapfel , B. , Durst , F. , Koskinen , J. and Koskinen , K. 2006 . On the mechanism responsible for turbulent drag reduction by dilute addition of high polymers: Theory, experiments, simulations, and predictions . Trans. ASME I: J. Fluids Eng. , 126 : 118 – 130 .
   Web of Science ®Google Scholar
• Frohnapfel , B. , Lammers , P. , Jovanović , J. and Durst , F. 2007 . Interpretation of the mechanism associated with turbulent drag reduction in terms of anisotropy invariants . J. Fluid Mech. , 577 : 457 – 466 .
   Web of Science ®Google Scholar
• Watanabe , T. , Saito , A. , Motozawa , M. and Kawaguchi , Y. 2009 . Spatial structure in the drag reducing channel flow of viscoelastic fluid , 947 – 950 . Rome , , Italy : Proceedings the 6th Symposium on Turbulence, Heat and Mass Transfer .
   Google Scholar
• Kadoma , I.A. , Ylitalo , C. and van Egmond , J.W. 1997 . Structural transitions in wormlike micelles . Rheol. Acta , 36 : 1 – 12 .
   Web of Science ®Google Scholar
• Itoh , M. , Tamano , S. , Yokota , K. and Ninagawa , M. 2005 . Velocity measurement in turbulent boundary layer of drag-reducing surfactant solution . Phys. Fluids , 17 : 075107 9
   Web of Science ®Google Scholar
• Tamano , S. , Itoh , M. , Inoue , T. , Kato , K. and Yokota , K. 2009 . Turbulence statistics and structures of drag-reducing turbulent boundary layer in homogeneous aqueous surfactant solutions . Phys. Fluids , 21 : 045101 19
   Web of Science ®Google Scholar
• Massah , H. and Hanratty , T.J. 1997 . Added stresses because of the presence of FENE-P bead-spring chains in a random velocity field . J. Fluid Mech. , 337 : 67 – 101 .
   Web of Science ®Google Scholar
• Chong , M.S. , Perry , A.E. and Cantwell , B.J. 1990 . A general classification of three-dimensional flow fields . Phys. Fluids , 2 : 765 – 777 .
   Web of Science ®Google Scholar
• Perry , A.E. and Chong , M.S. 1994 . Topology of flow patterns in vortex motions and turbulence . Appl. Sci. Res. , 53 : 357 – 374 .
   Google Scholar
• Soria , J. and Cantwell , B. J. 1994 . Topological visualisation of focal structure in free shear flow . Appl. Sci. Res. , 53 : 375 – 386 .
   Google Scholar
• Soria , J. , Sondergaard , R. , Cantwell , B.J. , Chong , M.S. and Perry , A.E. 1994 . A study of the fine-scale motions of incompressible time-developing mixing layers . Phys. Fluids , 6 : 871 – 884 .
   Web of Science ®Google Scholar
• Li , W. , Stone , P.A. and Graham , M.D. 2005 . Viscoelastic nonlinear traveling waves and drag reduction in plane Poiseuille flow, IUTAM Symp. on Laminar Turbulent Transition and Finite Amplitude Solutions, Fluid Mech. and its Appl. , Edited by: Mullin , T. and Kerswell , R.R. Vol. 77 , 173 – 193 . Netherlands : Springer .
   Google Scholar