Abstract
Drag reduction is vitally important for marine applications, and a promising means of reducing the turbulent frictional drag in external flow is polymer injection. In this paper, the integrated drag reduction rate (DR) of polymer injection in turbulent flow is investigated using pressure measurements. As the inlet speed varies 1.0–3.5 m/s, the speed dependence of DR is derived, DR increases with speed at an equivalent normalized polymer flux, and a maximum value of 50.0% is obtained. It is postulated that the injected polymer interacts with the turbulence much more efficiently as the speed increases, which is similar to the drag-reducing behavior of homogeneous polymer flows. The DR performance in polymer-injected flows reported in this paper not only indicates the existence of speed dependence at moderate speeds, but also supplies the reported speed dependence in higher speed tests.
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Brungart T, Petrie H, Harbison W, Merkle C (1991) A fluorescence technique for measurement of slot injected fluid concentration profiles in a turbulent boundary-layer. Exp Fluids 11(1):9
Burger ED, Munk W, Wahl H (1982) Flow increase in the trans Alaska pipeline through use of a polymeric drag-reducing additive. J Pet Technol 34(02):377
Ebrahimian M, Sanders RS, Ghaemi S (2019) Near-wall motion of inertial particles in a drag-reduced non-Newtonian turbulent flow. Exp Fluids 60(7):117
Elbing BR, Winkel ES, Solomon MJ, Ceccio SL (2009) Degradation of homogeneous polymer solutions in high shear turbulent pipe flow. Exp Fluids 47:1033
Elbing BR, Dowling DR, Perlin M, Ceccio SL (2010) Diffusion of drag-reducing polymer solutions within a rough-walled turbulent boundary layer. Phys Fluids 22(4):045102
Elbing BR, Solomon MJ, Perlin M, Dowling DR, Ceccio SL (2011) Flow-induced degradation of drag-reducing polymer solutions within a high-Reynolds-number turbulent boundary layer. J Fluid Mech 670:337
Elbing BR, Perlin M, Dowling DR, Ceccio SL (2013) Modification of the mean near-wall velocity profile of a high-Reynolds-number turbulent boundary layer with the injection of drag-reducing polymer solutions. Phys Fluids 25(8):085103
Fontaine AA, Petrie HL, Brungart TA (1992) Velocity profile statistics in a turbulent boundary layer with slot-injected polymer. J Fluid Mech 238:435
Fu Z, Kawaguchi Y (2013) A short review on drag-reduced turbulent flow of inhomogeneous polymer solutions. Adv Mech Eng 2013(5):1
Fu Z, Otsuki T, Motozawa M, Kurosawa T, Yu B, Kawaguchi Y (2014) Experimental investigation of polymer diffusion in the drag-reduced turbulent channel flow of inhomogeneous solution. Int J Heat Mass Transf 77(oct.):860–873
Hou YX, Somandepalli VSR, Mungal MG (2008) Streamwise development of turbulent boundary-layer drag reduction with polymer injection. J Fluid Mech 601:31
Hu HB, Wen J, Bao LY, Jia LB, Song D, Song BW, Pan G, Scaraggi M, Dini D, Xue QJ (2017) Significant and stable drag reduction with air rings confined by alternated superhydrophobic and hydrophilic strips. Sci Adv 3(9):e1603288
Jiang D, Zhang H, Fan B, Zhao Z, Gui M, Chen Z (2019) Vortex structures and drag reduction in turbulent channel flow with the effect of space-dependent electromagnetic force. Ocean Eng 176(MAR.15):74–83
Li FC, Yu B, Wei JJ (2012) Turbulent drag reduction by surfacant additives (in Chinese). Higher Education Press, Beijing
Pereira AS, Soares EJ (2012) Polymer degradation of dilute solutions in turbulent drag reducing flows in a cylindrical double gap rheometer device. J Non-Newton Fluid Mech 179:9–22
Pereira AS, Mompean G, Soares EJ (2018) Modeling and numerical simulations of polymer degradation in a drag reducing plane Couette flow. J Non-Newton Fluid Mech 256:1
Perlin M, Dowling DR, Ceccio SL (2016) Freeman scholar review: passive and active skin-friction drag reduction in turbulent boundary layers. J Fluids Eng 138(9):091104
Ren LZ, Zhang QH, Chen SQ, Huang ZY, Hu HB (2019) Study of the turbulent flow drag reduction characteristics of homogeneous and inhomogeneous PEO solution in pipeline flow (in Chinese). J Exp Mech 34(2):217–223
Somandepalli VSR, Mungal MG (2006) Combined PIV and PLIF measurements in a polymer drag reduced turbulent boundary layer. Report no. TSD-169, Stanford University
Somandepalli VSR, Hou YX, Mungal MG (2010) Concentration flux measurements in a polymer drag-reduced turbulent boundary layer. J Fluid Mech 644:281
Tabor M, Gennes PGD (1986) A cascade theory of drag reduction. Europhys Lett 2(7):519
Tamano S, Kitao T, Morinishi Y (2014) Turbulent drag reduction of boundary layer flow with non-ionic surfactant injection. J Fluid Mech 749:367–403
Toms BA (1948) Some observations on the flow of linear polymer solutions through straight tubes at large Reynolds numbers. In: International congress on rheology
Walker D, Tiederman W, Luchik T (1986) Optimization of the injection process for drag-reducing additives. Exp Fluids 4(2):114
Wells CS, Spangler JG (1967) Injection of a drag-reducing fluid into turbulent pipe flow of a Newtonian fluid. Phys Fluids 10(9):1890
White CM, Mungal MG (2008) Mechanics and prediction of turbulent drag reduction with polymer additives. Annu Rev Fluid Mech 40(1):235
Winkel ES, Oweis GF, Vanapalli SA, Dowling DR, Perlin M, Solomon MJ, Ceccio SL (2009) High-Reynolds-number turbulent boundary layer friction drag reduction from wall-injected polymer solutions. J Fluid Mech 621:259
Woo Yang J, Park H, Hwan Chun H, Ceccio SL, Perlin M, Lee I (2014) Development and performance at high Reynolds number of a skin-friction reducing marine paint using polymer additives. Ocean Eng 84:183
Acknowledgements
This work is supported by the National Natural Science Foundation of China (Grant no. 51679203), the Natural Science Basic Research Program of Shaanxi (Program No.2020JC-18), the Basic frontier project (JCKY201818x18), and the Fundamental Research Funds for the Central Universities (nos. 3102018gxc007, 310202-0HHZY030014).
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Ren, L., Hu, H., Xie, L. et al. Speed dependence of integrated drag reduction in turbulent flow with polymer injection. Exp Fluids 62, 40 (2021). https://doi.org/10.1007/s00348-020-03114-2
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DOI: https://doi.org/10.1007/s00348-020-03114-2