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Near-wall motion of inertial particles in a drag-reduced non-Newtonian turbulent flow

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Abstract

The kinematics of inertial particles suspended in the near-wall region of Newtonian and non-Newtonian turbulent channel flows was experimentally investigated. The non-Newtonian fluid was a homogeneous solution of 90 part per million of a polyacrylamide polymer in water with 66% drag reduction. All the experiments were performed at the same volumetric flow rate with Reynolds number of 34,300 based on bulk velocity, channel height, and the kinematic viscosity of water. The inertial particles were 250-μm glass beads with St of 35 (in water) at a volumetric concentration of 0.05%. A time-resolved two-dimensional particle tracking velocimetry was used to record particle images at acquisition frequency of 17.6 kHz and detect trajectory of flow tracers and the glass beads. The recorded data were processed using a two-dimensional particle tracking algorithm to obtain the Lagrangian kinematics of the beads. The comparison between laden flows of water and polymer solution showed reduction of number density of the beads and their momentum in the vicinity of the wall in the polymeric flow. The polymer solution remarkably reduced the wall-normal and shear Reynolds stresses of the beads, but had a negligible effect on their streamwise Reynolds stress. The wall-normal fluctuation of the beads reduced in the polymeric flow and their trajectories became parallel with the channel wall. Results also showed that the ejection and sweep motions were not the major mechanism for wall-normal distribution of the beads in the polymeric flow. Outcomes suggest that drag-reducing polymer solutions have the potential of reducing erosive wear in particle-laden pipelines.

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References

  • Ahmadi F, Ebrahimian M, Sanders RS, Ghaemi S (2019) Particle image and tracking velocimetry of solid–liquid turbulence in a horizontal channel flow. Int J Multiph Flow 112:83–99

    Article  Google Scholar 

  • Arnipally SK, Kuru E (2017) Settling velocity of particles in viscoelastic fluids: a comparison of the shear viscosity vs elasticity effect. SPE J. https://doi.org/10.2118/187255-PA

    Article  Google Scholar 

  • Atherton TJ, Kerbyson DJ (1999) Size invariant circle detection. Image Vis Comput 17(11):795–803

    Article  Google Scholar 

  • Bailey S, Vallikivi M, Hultmark M, Smits A (2014) Estimating the value of von kármán’s constant in turbulent pipe flow. J Fluid Mech 749:79–98

    Article  Google Scholar 

  • Chhabra R (2006) Bubbles, drops, and particles in non-Newtonian fluids. CRC Press, Boca Raton

    Book  Google Scholar 

  • Chhabra R, Richardson J (1999) Non-Newtonian flow in the process industries. Butterworth-Heinemann, Oxford

    Google Scholar 

  • Ciftlik A, Ettori M, Gijs M (2013) High throughput-per-footprint inertial focusing. Small 9(16):2764–2773

    Article  Google Scholar 

  • Clift R, Gauvin W (1971) Motion of entrained particles in gas streams. CAN J Chem Eng 49(4):439–448

    Article  Google Scholar 

  • Corredor F, Bizhani M, Kuru E (2015) Experimental investigation of drag reducing fluid flow in annular geometry using particle image velocimetry technique. J Fluids Eng 137(8):081103

    Article  Google Scholar 

  • D’Avino G, Maffettone P (2015) Particle dynamics in viscoelastic liquids. J Non-Newton Fluid 215:80–104

    Article  MathSciNet  Google Scholar 

  • D’Avino G, Romeo G, Villone M, Greco F, Netti P, Maffettone P (2012) Single line particle focusing induced by viscoelasticity of the suspending liquid: theory, experiments and simulations to design a micropipe flow-focuser. Lab Chip 12(9):1638–1645

    Article  Google Scholar 

  • Del Giudice F, Romeo G, D’Avino G, Greco F, Netti PA, Maffettone P (2013) Particle alignment in a viscoelastic liquid flowing in a square-shaped microchannel. Lab Chip 13(21):4263–4271

    Article  Google Scholar 

  • Di Carlo D, Irimia D, Tompkins R, Toner M (2007) Continuous inertial focusing, ordering, and separation of particles in microchannels. Proc Natl Acad Sci USA 104(48):18892–18897

    Article  Google Scholar 

  • Dubief Y, White C, Terrapon V, Shaqfeh E, Moin P, Lele S (2004) On the coherent drag-reducing and turbulence-enhancing behaviour of polymers in wall flows. J Fluid Mech 514:271–280

    Article  MATH  Google Scholar 

  • Dubief Y, Terrapon V, White C, Shaqfeh E, Moin P, Lele S (2005) New answers on the interaction between polymers and vortices in turbulent flows. Flow Turbul Combust 74(4):311–329

    Article  MATH  Google Scholar 

  • Einstein A (1956) Investigations on the theory of the Brownian movement. Courier Corporation, North Chelmsford

    MATH  Google Scholar 

  • Gauthier F, Goldsmith H, Mason S (1971) Particle motions in non-newtonian media. II. Poiseuille flow. Trans Soc Rheol 15(2):297–330

    Article  Google Scholar 

  • Gerashchenko S, Sharp N, Neuscamman S, Warhaft Z (2008) Lagrangian measurements of inertial particle accelerations in a turbulent boundary layer. J Fluid Mech 617:255–281

    Article  MATH  Google Scholar 

  • Gupta R, Singh S, Sehadri V (1995) Prediction of uneven wear in a slurry pipeline on the basis of measurements in a pot tester. Wear 184(2):169–178

    Article  Google Scholar 

  • Hatschek E (1939) An introduction to industrial rheology by GW Scott Blair. J Phys Chem 43(3):395–395

    Article  Google Scholar 

  • Hoyas S, Jiménez J (2008) Reynolds number effects on the Reynolds-stress budgets in turbulent channels. Phys Fluids 20(10):101511

    Article  MATH  Google Scholar 

  • Huang PY, Feng J, Hu HH, Joseph DD (1997) Direct simulation of the motion of solid particles in couette and poiseuille flows of viscoelastic fluids. J Fluid Mech 343:73–94

    Article  MathSciNet  MATH  Google Scholar 

  • Iwamoto K, Suzuki Y, Kasagi N (2002) Reynolds number effect on wall turbulence: toward effective feedback control. Int J Heat Fluid Flow 23(5):678–689

    Article  Google Scholar 

  • Joseph GG, Zenit R, Hunt ML, Rosenwinkel AM (2001) Particle-wall collisions in a viscous fluid. J Fluid Mech 433:329–346

    Article  MATH  Google Scholar 

  • Kaftori D, Hetsroni G, Banerjee S (1995a) Particle behavior in the turbulent boundary layer. I. Motion, deposition, and entrainment. Phys Fluids 7(5):1095–1106

    Article  Google Scholar 

  • Kaftori D, Hetsroni G, Banerjee S (1995b) Particle behavior in the turbulent boundary layer. II. Velocity and distribution profiles. Phys Fluids 7(5):1107–1121

    Article  Google Scholar 

  • Kähler CJ, Scharnowski S, Cierpka C (2012) On the uncertainty of digital PIV and PTV near walls. Exp Fluids 52(6):1641–1656

    Article  Google Scholar 

  • Kang K, Lee SS, Hyun K, Lee SJ, Kim JM (2013) DNA-based highly tunable particle focuser. Nat Commun 4:2567

    Article  Google Scholar 

  • Karabelas AJ (1978) An experimental study of pipe erosion by turbulent slurry flow. In: Proc HT5, pp 47–61

  • Karniadakis GE, Choi K (2003) Mechanisms on transverse motions in turbulent wall flows. Annu Rev Fluid Mech 35(1):45–62

    Article  MathSciNet  MATH  Google Scholar 

  • Karnis A, Mason SG (1966) Particle motions in sheared suspensions. xix. Viscoelastic media. Trans Soc Rheol 10(2):571–592

    Article  Google Scholar 

  • Kaushal D, Sato K, Toyota T, Funatsu K, Tomita Y (2005) Effect of particle size distribution on pressure drop and concentration profile in pipeline flow of highly concentrated slurry. Int J Multiph Flow 31(7):809–823

    Article  MATH  Google Scholar 

  • Kiger KT, Pan C (2002) Suspension and turbulence modification effects of solid particulates on a horizontal turbulent channel flow. J Turbul 3(19):1–17

    Google Scholar 

  • Kim K, Li CF, Sureshkumar R, Balachandar S, Adrian RJ (2007) Effects of polymer stresses on eddy structures in drag-reduced turbulent channel flow. J Fluid Mech 584:281–299

    Article  MATH  Google Scholar 

  • Kosel TH (1992) Solid particle erosion. ASM Handb 18:199–213

    Google Scholar 

  • Leshansky AM, Bransky A, Korin N, Dinnar U (2007) Tunable nonlinear viscoelastic focusing in a microfluidic device. Phys Rev Lett 98(23):234501

    Article  Google Scholar 

  • Li G, McKinley GH, Ardekani AM (2015) Dynamics of particle migration in channel flow of viscoelastic fluids. J Fluid Mech 785:486–505

    Article  MathSciNet  MATH  Google Scholar 

  • Lim EJ, Ober TJ, Edd JF, Desai SP, Neal D, Bong KW, Doyle PS, McKinley GH, Toner M (2014) Inertio-elastic focusing of bioparticles in microchannels at high throughput. Nat Commun 5:4120

    Article  Google Scholar 

  • Luchik TS, Tiederman WG (1988) Turbulent structure in low-concentration drag-reducing channel flows. J Fluid Mech 190:241–263

    Article  Google Scholar 

  • Marchioli C, Soldati A (2002) Mechanisms for particle transfer and segregation in a turbulent boundary layer. J Fluid Mech 468:283–315

    Article  MATH  Google Scholar 

  • McKinley GH (2002) Steady and transient motion of spherical particles in viscoelastic liquids. In: Kee DD, Chhabra RP (eds) Transport processes in bubble, drops, and particles. Taylor & Francis, New York, pp 338–375

    Google Scholar 

  • Mishra SAA, Chandra H (2012) Solid liquid non-Newtonian fluid flow in pipe: a review. Acta Mech Slovaca 16(2):62–73

    Article  Google Scholar 

  • Mohammadtabar M, Sanders RS, Ghaemi S (2017) Turbulent structures of non-Newtonian solutions containing rigid polymers. Phys Fluids 29(10):103101

    Article  Google Scholar 

  • Morgado WAM, Oppenheim I (1997) Energy dissipation for quasielastic granular particle collisions. Phys Rev E 55:1940–1945. https://doi.org/10.1103/PhysRevE.55.1940

    Article  Google Scholar 

  • Ohmi K, Li H (2000) Particle-tracking velocimetry with new algorithms. Meas Sci Technol 11(6):603

    Article  Google Scholar 

  • Pedinotti S, Mariotti G, Banerjee S (1992) Direct numerical simulation of particle behaviour in the wall region of turbulent flows in horizontal channels. Int J of Multiph Flow 18(6):927–941

    Article  MATH  Google Scholar 

  • Procaccia I, L’vov VS, Benzi R (2008) Colloquium: theory of drag reduction by polymers in wall-bounded turbulence. Rev Mod Phys 80(1):225

    Article  Google Scholar 

  • Rouse H (1937) Modern conceptions of the mechanics of fluid turbulence. Trans Am Soc Civ Eng 102:463–554

    Google Scholar 

  • Rowin WA, Sanders RS, Ghaemi S (2018) A recipe for optimum mixing of polymer drag reducers. J Fluids Eng 140(11):111402

    Article  Google Scholar 

  • Senapati PK, Mishra BK, Parida A (2010) Modeling of viscosity for power plant ash slurry at higher concentrations: effect of solids volume fraction, particle size and hydrodynamic interactions. Powder Technol 197(1–2):1–8

    Article  Google Scholar 

  • Seo KW, Kang YJ, Lee SJ (2014) Lateral migration and focusing of microspheres in a microchannel flow of viscoelastic fluids. Phys Fluids 26(6):063301

    Article  Google Scholar 

  • Shokri R, Ghaemi S, Nobes DS, Sanders RS (2017) Investigation of particle-laden turbulent pipe flow at high-reynolds-number using particle image/tracking velocimetry (PIV/PTV). Int J Multiph Flow 89:136–149

    Article  MathSciNet  Google Scholar 

  • Soldati A (2005) Particles turbulence interactions in boundary layers. ZAMM-J Appl Math Mech 85(10):683–699

    Article  MathSciNet  MATH  Google Scholar 

  • Soldati A, Marchioli C (2009) Physics and modelling of turbulent particle deposition and entrainment: review of a systematic study. Int J Multiph Flow 35(9):827–839

    Article  Google Scholar 

  • Stickel JJ, Powell RL (2005) Fluid mechanics and rheology of dense suspensions. Annu Rev Fluid Mech 37:129–149

    Article  MathSciNet  MATH  Google Scholar 

  • Sumer BM, Deigaard R (1981) Particle motions near the bottom in turbulent flow in an open channel. Part 2. J Fluid Mech 109:311–337

    Article  Google Scholar 

  • Tatterson GB (1991) Fluid mixing and gas dispersion in agitated tanks. McGraw-Hill Companies, New York

    Google Scholar 

  • Taylor GI (1923) Stability of a viscous liquid contained between two rotating cylinders. Philos Trans R Soc Lond 223:289–343

    Article  MATH  Google Scholar 

  • Virk PS, Mickley HS, Smith KA (1970) The ultimate asymptote and mean flow structure in toms’ phenomenon. J Appl Mech 37(2):488–493

    Article  Google Scholar 

  • Voth GA, la Porta A, Crawford AM, Alexander J, Bodenschatz E (2002) Measurement of particle accelerations in fully developed turbulence. J Fluid Mech 469:121–160

    Article  MATH  Google Scholar 

  • Wallace JM (2016) Quadrant analysis in turbulence research: history and evolution. Annu Rev Fluid Mech 48:131–158

    Article  MathSciNet  MATH  Google Scholar 

  • Wallace JM, Eckelmann H, Brodkey RS (1972) The wall region in turbulent shear flow. J Fluid Mech 54(1):39–48

    Article  Google Scholar 

  • Warholic MD, Massah H, Hanratty TJ (1999) Influence of drag-reducing polymers on turbulence: effects of reynolds number, concentration and mixing. Exp Fluids 27(5):461–472

    Article  Google Scholar 

  • Warholic MD, Heist DK, Katcher M, Hanratty TJ (2001) A study with particle-image velocimetry of the influence of drag-reducing polymers on the structure of turbulence. Exp Fluids 31(5):474–483

    Article  Google Scholar 

  • Wasp EJ, Kenny JP, Gandhi RL (1977) Solid–liquid flow: slurry pipeline transportation. [Pumps, valves, mechanical equipment, economics]. Ser Bulk Mater Handl (USA) 1:4

    Google Scholar 

  • White CM, Mungal MG (2008) Mechanics and prediction of turbulent drag reduction with polymer additives. Annu Rev Fluid Mech 40:235–256

    Article  MathSciNet  MATH  Google Scholar 

  • White CM, Somandepalli VSR, Mungal MG (2004) The turbulence structure of drag-reduced boundary layer flow. Exp Fluids 36(1):62–69

    Article  Google Scholar 

  • Yang S, Kim JY, Lee SJ, Lee SS, Kim JM (2011) Sheathless elasto-inertial particle focusing and continuous separation in a straight rectangular microchannel. Lab Chip 11(2):266–273

    Article  Google Scholar 

  • Yuen HK, Princen J, Illingworth J, Kittler J (1990) Comparative study of Hough transform methods for circle finding. Image Vis Comput 8(1):71–77

    Article  Google Scholar 

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Acknowledgements

This work has been supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) and Canadian Natural Resources Limited (CNRL). The first author would like to greatly appreciate the contribution of Sadek Shaban in performing the experiments and also valuable discussions with Mohammad Mohammadtabar regarding polymer drag reducers.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Alberta, Edmonton, AB, T6G 1H9, Canada

    M. Ebrahimian & S. Ghaemi

  2. Department of Chemical and Materials Engineering, University of Alberta, Edmonton, AB, T6G 1H9, Canada

    R. S. Sanders

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Correspondence to S. Ghaemi.

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Appendix

Appendix

The random error of velocity statistics of unladen and bead-laden flows are determined based on the statistical convergence of the last 20% of data collected at \(y^+_0=14.4\) and are presented in Table 4.

Table 4 The random error of the average velocity and Reynolds stresses of unladen and bead-laden flows based on the statistical convergence of the last 20% of data collected at \(y^+_0=14.4\)
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Ebrahimian, M., Sanders, R.S. & Ghaemi, S. Near-wall motion of inertial particles in a drag-reduced non-Newtonian turbulent flow. Exp Fluids 60, 117 (2019). https://doi.org/10.1007/s00348-019-2764-8

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