2018
DOI: 10.1017/jfm.2018.858
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Turbulent duct flow with polymers

Abstract: We have performed direct numerical simulation of the turbulent flow of a polymer solution in a square duct, with the FENE-P model used to simulate the presence of polymers. First, a simulation at a fixed moderate Reynolds number is performed and its results compared with those of a Newtonian fluid to understand the mechanism of drag reduction and how the secondary motion, typical of the turbulent flow in non-axisymmetric ducts, is affected by polymer additives. Our study shows that the Prandtl's secondary flow… Show more

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Cited by 35 publications
(28 citation statements)
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References 63 publications
(115 reference statements)
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“…The spanwise correlation also increases when increasing Bi as the velocity streaks become wider than in a Newtonian fluid, despite the existence of yielded regions in the channel core (see figure 16). Note also that, the increased correlation lengths in both the streamwise and spanwise directions, are not limited to the near wall-regions occupied by the streaky structures, as in the other drag reducing flows cited above (García-Mayoral & Jiménez 2011;Dubief et al 2004;Shahmardi et al 2018), but extends up to the centerline. However, this increased spanwise correlation does not extend towards the centreline as much as the streamwise coherence.…”
Section: Turbulent Flowmentioning
confidence: 75%
See 1 more Smart Citation
“…The spanwise correlation also increases when increasing Bi as the velocity streaks become wider than in a Newtonian fluid, despite the existence of yielded regions in the channel core (see figure 16). Note also that, the increased correlation lengths in both the streamwise and spanwise directions, are not limited to the near wall-regions occupied by the streaky structures, as in the other drag reducing flows cited above (García-Mayoral & Jiménez 2011;Dubief et al 2004;Shahmardi et al 2018), but extends up to the centerline. However, this increased spanwise correlation does not extend towards the centreline as much as the streamwise coherence.…”
Section: Turbulent Flowmentioning
confidence: 75%
“…There exists a large literature on the turbulent flow with polymer additives, with the main focus being the drag reduction (Logan 1972;Pinho & Whitelaw 1990;Escudier & Presti 1996;Den Toonder et al 1997;Beris & Dimitropoulos 1999;Warholic et al 1999;Escudier et al 1999;Escudier & Smith 2001;Dubief et al 2004Dubief et al , 2005Escudier et al 2005Escudier et al , 2009Xi & Graham 2010;Owolabi et al 2017;Shahmardi et al 2018). The interested reader is refereed to the work by Berman (1978) and White & Mungal (2008) for a through review on the subject.…”
Section: Friction Losses and Drag Reductionmentioning
confidence: 99%
“…The time integration is based on an explicit fractional-step method [51], where only the solid hyperelastic contribution in equation (1) is advanced with the Crank-Nicolson scheme, while, all the other terms are advanced with the third order Runge-Kutta scheme [52]. All the spatial derivatives are approximated with the second-order centred finite differences scheme, except for the advection term in equations (5) and (9) where the fifthorder weighted essentially non-oscillatory scheme is applied ( [50,53,54]). A comprehensive review on the effect of different discretization schemes for the advection terms was studied by [52].…”
Section: B Numerical Methodsmentioning
confidence: 99%
“…This may seem reasonable at first, but it is not consistent with the measured results of turbulence fluctuation intensity, because the effect of drag reducers is not only to reduce the intensity of turbulence, but also to change the vortex structure of turbulence. Downstream of the area where the drag reducer is added, the hairpin vortex along the shear layer is significantly reduced, and the energy loss caused by the corresponding vortex is reduced [16,17].…”
Section: Turbulence Suppression Hypothesismentioning
confidence: 99%