SOME DYNAMICAL FEATURES OF THE TURBULENT FLOW OF A VISCOELASTIC FLUID FOR REDUCED DRAG

It is well known that the addition of minute amounts of long polymer chains to organic solvents, or water, can lead to significant turbulent drag reduction. In the present study, direct numerical simulations of turbulent channel flow of a viscoelastic fluid, at zero-shear friction Reynolds numbers up to of 1000, are analyzed. Both the mean and turbulent fields are studied, but with a primary focus on the turbulent stress and viscoelastic extra-stress (conformation tensor) fields in order to contrast the dynamics of each. An analysis of both the turbulent kinetic energy and the elastic energy budget is made, with emphasis on the interactive dynamics between the two fields.

[1]  J C Vassilicos,et al.  Strong polymer-turbulence interactions in viscoelastic turbulent channel flow. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  Daniel D. Joseph,et al.  Fluid Dynamics Of Viscoelastic Liquids , 1990 .

[3]  Christopher White,et al.  The onset of drag reduction by dilute polymer additives, and the maximum drag reduction asymptote , 2000, Journal of Fluid Mechanics.

[4]  Antony N. Beris,et al.  Polymer-induced drag reduction: Effects of the variations in elasticity and inertia in turbulent viscoelastic channel flow , 2003 .

[5]  John L. Lumley,et al.  Drag Reduction by Additives , 1969 .

[6]  P. Gennes.  Towards a scaling theory of drag reduction , 1986 .

[7]  A. Beris,et al.  Effect of artificial stress diffusivity on the stability of numerical calculations and the flow dynamics of time-dependent viscoelastic flows , 1995 .

[8]  R. Benzi.  A short review on drag reduction by polymers in wall bounded turbulence , 2010 .

[9]  Thomas J. Hanratty,et al.  Influence of drag-reducing polymers on turbulence: effects of Reynolds number, concentration and mixing , 1999 .

[10]  Antony N. Beris,et al.  Direct numerical simulation of viscoelastic turbulent channel flow exhibiting drag reduction: effect of the variation of rheological parameters , 1998 .

[11]  Lance R. Collins,et al.  An improved algorithm for simulating three-dimensional, viscoelastic turbulence , 2006 .

[12]  K. Housiadas,et al.  Characteristic scales and drag reduction evaluation in turbulent channel flow of nonconstant viscosity viscoelastic fluids , 2004 .

[13]  Drag reduction by a linear viscosity profile. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  I. Procaccia,et al.  Polymer stress tensor in turbulent shear flows. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Jung Yul Yoo,et al.  Drag reduction by polymer additives in a turbulent channel flow , 2003, Journal of Fluid Mechanics.

[16]  V. K. Gupta,et al.  Turbulent channel flow of dilute polymeric solutions: Drag reduction scaling and an eddy viscosity model , 2006 .

[17]  Paolo Orlandi,et al.  A tentative approach to the direct simulation of drag reduction by polymers , 1995 .

[18]  P. G. de Gennes,et al.  A Cascade Theory of Drag Reduction , 1986 .

[19]  Christopher White,et al.  Mechanics and Prediction of Turbulent Drag Reduction with Polymer Additives , 2008 .

[20]  Jung Yul Yoo,et al.  Maximum drag reduction in a turbulent channel flow by polymer additives , 2002, Journal of Fluid Mechanics.

[21]  I. Procaccia,et al.  Identification and calculation of the universal asymptote for drag reduction by polymers in wall bounded turbulence. , 2005, Physical review letters.

[22]  P. Moin,et al.  Direct numerical simulation of polymer-induced drag reduction in turbulent boundary layer flow of inhomogeneous polymer solutions , 2006, Journal of Fluid Mechanics.

[23]  Robert A. Handler,et al.  Direct numerical simulation of the turbulent channel flow of a polymer solution , 1997 .

[24]  P. S. Virk.  Drag reduction fundamentals , 1975 .

[25]  Ridha Abid,et al.  Predicting equilibrium states with Reynolds stress closures in channel flow and homogeneous shear flow , 1992 .

[26]  Fernando T. Pinho,et al.  A low Reynolds number turbulence closure for viscoelastic fluids , 2008 .

[27]  F. Nieuwstadt,et al.  The role of elongational viscosity in the mechanism of drag reduction by polymer additives , 1995 .

[28]  Javier Jiménez,et al.  Scaling of the velocity fluctuations in turbulent channels up to Reτ=2003 , 2006 .

[29]  P. R. Resende,et al.  Modelling the new stress for improved drag reduction predictions of viscoelastic pipe flow , 2004 .

[30]  Drag Reduction by Polymers in Wall Bounded Turbulence , 2003, nlin/0307034.

[31]  F. Pinho,et al.  One Equation Model for Turbulent Channel Flow with Second Order Viscoelastic Corrections , 2008 .

[32]  Kyoungyoun Kim,et al.  A FENE-P k e turbulence model for low and intermediate regimes of polymer-induced drag reduction , 2011 .

[33]  Kostas D. Housiadas,et al.  Extensional behavior influence on viscoelastic turbulent channel flow , 2006 .

[34]  R. Handler,et al.  Budgets of Reynolds stress, kinetic energy and streamwise enstrophy in viscoelastic turbulent channel flow , 2001 .

[35]  Thomas B. Gatski,et al.  A massively parallel hybrid scheme for direct numerical simulation of turbulent viscoelastic channel flow , 2011 .

[36]  A. B. Metzner,et al.  Turbulence phenomena in drag reducing systems , 1969 .

[37]  Andres E. Tejada-Martinez,et al.  Temporal large eddy simulations of turbulent viscoelastic drag reduction flows , 2010 .

[38]  Robert A. Handler,et al.  Viscoelastic effects on higher order statistics and on coherent structures in turbulent channel flow , 2005 .

[39]  Parviz Moin,et al.  Direct numerical simulation of polymer-induced drag reduction in turbulent boundary layer flow , 2005 .

[40]  B. A. Toms,et al.  Some Observations on the Flow of Linear Polymer Solutions Through Straight Tubes at Large Reynolds Numbers , 1948 .

[41]  Parviz Moin,et al.  On the coherent drag-reducing and turbulence-enhancing behaviour of polymers in wall flows , 2004, Journal of Fluid Mechanics.