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Drag force of polyethyleneglycol in flow measured by a scanning probe microscope

Ruri Hidema*, Seika Hayashi, and Hiroshi Suzuki

  • Department of Chemical Science and Engineering, Kobe University, Kobe 657-8501, Japan

  • *hidema@port.kobe-u.ac.jp
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Phys. Rev. Fluids 4, 074201 – Published 30 July, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.074201

Abstract

We propose a method to measure the drag force due to synthetic polymers in flowing fluids by using a scanning probe microscope (SPM). Methoxy polyethyleneglycol thiol (mPEG-SH) was attached to the cantilever probe of the SPM, which was further immersed in flows of glycerol and polyethyleneglycol (PEG) solutions. The mPEG-SH-bonded cantilever detects the extra force due to polymer-polymer and polymer-fluids interaction in flowing fluids. The conformation of the mPEG-SH polymer bonded to the probe of the cantilever was predicted as having a stem and ellipsoidal-flower shape, and the drag force due to the deformed mPEG-SH was calculated. The forces detected by experiments using the SPM and the forces obtained by model calculations were compared and found to be reasonably close.

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References (56)

  1. F. T. Pinho and J. H. Whitelaw, Flow of non-Newtonian fluids in a pipe, J. Non-Newtonian Fluid Mech. 34, 129 (1990).
  2. T. Wei and W. W. Willmarth, Modifying turbulent structure with drag-reducing polymer additives in turbulent channel flows, J. Fluid Mech. 245, 619 (1992).
  3. C. Wagner, Y. Amarouchene, P. Doyle, and D. Bonn, Turbulent-drag reduction of polyelectrolyte solutions: Relation with the elongational viscosity, Europhys. Lett. 64, 823 (2003).
  4. M. D. Graham, Drag reduction and the dynamics of turbulence in simple and complex fluids, Phys. Fluids 26, 101301 (2014).
  5. A. Japper-Jaafar, M. P. Escudier, and R. J. Poole, Turbulent pipe flow of a drag-reducing rigid “rod-like” polymer solution, J. Non-Newtonian Fluid Mech. 161, 86 (2009).
  6. R. Hidema, H. Suzuki, S. Hisamatsu, Y. Komoda, and H. Furukawa, Effects of the extensional rate on two-dimensional turbulence of semi-dilute polymer solution flows, Rheol. Acta, 52, 949 (2013).
  7. R. Hidema, H. Suzuki, S. Hisamatsu, and Y. Komoda, Characteristic scales of two-dimensional turbulence in polymer solutions, AIChE J. 60, 1854 (2014).
  8. R. Hidema, H. Suzuki, I. Murao, S. Hisamatsu, and Y. Komoda, Effects of extensional rates on anisotropic structures and characteristic scales of two-dimensional turbulence in polymer solutions, Flow Turbulence Combust. 96, 227 (2016).
  9. R. Hidema, I. Murao, Y. Komoda, and H. Suzuki, Effects of the extensional rheological properties of polymer solutions on vortex shedding and turbulence characteristics in a two-dimensional turbulent flow, J. Non-Newtonian Fluid Mech. 254, 1 (2018).
  10. A. Groisman and V. Steinberg, Elastic turbulence in a polymer solution flow, Nature 405, 53 (2000).
  11. L. E. Rodd, T. P. Scott, D. V. Boger, J. J. Cooper-White, and G. H. McKinley, The inertio-elastic planar entry flow of low-viscosity elastic fluids in micro-fabricated geometries, J. Non-Newtonian Fluid Mech. 129, 1 (2005).
  12. L. E. Rodd, J. J. Cooper-White, D. V. Boger, and G. H. McKinley, Role of the elasticity number in the entry flow of dilute polymer solutions in micro-fabricated contraction geometries, J. Non-Newtonian Fluid Mech. 143, 170 (2007).
  13. Y. Jun and V. Steinberg, Elastic turbulence in a curvilinear channel flow, Phys. Rev. E 84, 056325 (2011).
  14. A. Lanzaro and X.-F. Yuan, A quantitative analysis of spatial extensional rate distribution in nonlinear viscoelastic flows, J. Non-Newtonian Fluid Mech. 207, 32 (2014).
  15. T. Sridhar, V. Tirtaatmadja, D. A. Nguyen, and R. K. Gupta, Measurement of extensional viscosity of polymer solutions, J. Non-Newtonian Fluid Mech. 40, 271 (1991).
  16. G. H. McKinley and T. Sridhar, Filament stretching rheometry of complex fluids, Annu. Rev. Fluid Mech. 34, 375 (2002).
  17. V. Sharma, S. J. Haward, J. Serdy, B. Keshavarz, A. Soderlund, P. Threlfall-Holmesf, and G. H. McKinley, The rheology of aqueous solutions of ethyl hydroxy-ethyl cellulose (EHEC) and its hydrophobically modified analogue (hmEHEC): Extensional flow response in capillary break-up, jetting (ROJER) and in a cross-slot extensional rheometer, Soft Matter 11, 3251 (2015).
  18. F. Del Giudice, S. J. Haward, and A. Q. Shen, Relaxation time of dilute polymer solutions: A microfluidic approach, J. Rheology 61, 327 (2017).
  19. P. C. Sousa, E. J. Vega, R. G. Sousa, J. M. Montanero, and M. A. Alves, Measurement of relaxation times in extensional flow of weakly viscoelastic polymer solutions, Rheol. Acta 56, 11 (2017).
  20. R. Hidema, T. Shiraki, Y. Tanino, Y. Komoda, and H. Suzuki, Extensional viscosity of low viscous polymer solutions measured by pressure drops in abrupt contraction channels, Nihon Reoroji Gakkaishi (J. Soc. Rheol. Japan) 46, 13 (2018).
  21. C. Ortiz and G. Hadziioannou, Entropic elasticity of single polymer chains of poly(methacrylic acid) measured by atomic force microscopy, Macromolecules 32, 780 (1999).
  22. M. Rief, M. Gautel, F. Oesterhelt, J. M. Fernandez, and H. E. Gaub, Single molecule force spectroscopy on polysaccharides by atomic force microscopy, Science 275, 1295 (1997).
  23. F. Oesterhelt, M. Rief, and H. E. Gaub, Single molecule force spectroscopy by AFM indicates helical structure of poly(ethylene-glycol) in water, New J. Phys. 1, 6 (1999).
  24. K. Nakajima and T. Nishi, Nanoscience of single polymer chains revealed by nanofishing, Chem. Record 6, 249 (2006).
  25. F. Kienberger, V. Ph. Pastushenko, G. Kada, H. J. Gruber, C. Riener, H. Schindler, and P. Hinterdorfer, Static and dynamical properties of single poly(ethylene glycol) molecules investigated by force spectroscopy, Single Mol. 1, 123 (2000).
  26. C. Bustamante, Entropic elasticity of λ-phage DNA, Science 265, 1599 (1994).
  27. M. I. Giannotti and G. J. Vancso, Interrogation of single synthetic polymer chains and polysaccharides by AFM-based force spectroscopy, ChemPhysChem 8, 2290 (2007).
  28. M. Hinczewski and R. R. Netz, Anisotropic hydrodynamic mean-field theory for semiflexible polymers under tension, Macromolecules 44, 6972 (2011).
  29. M. Radiom and M. Borkovec, Influence of ligand-receptor interactions on force-extension behavior within the freely jointed chain model, Phys. Rev. E 96, 062501 (2017).
  30. M. S. Z. Kellermayer, S. B. Smith, H. L. Granzier, and C. Bustamante, Folding-unfolding transitions in single titin molecules characterized with laser tweezers, Science 276, 1112 (1997).
  31. Z. N. Scholl, Q. Li, and P. E. Marszalek, Single molecule mechanical manipulation for studying biological properties of proteins, DNA, and sugars, WIREs Nanomed Nanobiotechnol. 6, 211 (2014).
  32. N. B. Holland, T. Hugel, G. Neuert, A. Cattani-Scholz, C. Renner, D. Oesterhelt, L. Moroder, M. Seitz, and H. E. Gaub, Single molecule force spectroscopy of azobenzene polymers: Switching elasticity of single photochromic macromolecules, Macromolecules 36, 2015 (2003).
  33. M. I. Giannotti, I. Cabeza de Vaca, J. M. Artés, F. Sanz, V. Guallar, and P. Gorostiza, Direct measurement of the nanomechanical stability of a redox protein active site and its dependence upon metal binding, J. Phys. Chem. 119, 12050 (2015).
  34. H. Li, W. Zhang, W. Xu, and X. Zhang, Hydrogen bonding governs the elastic properties of poly(vinyl alcohol) in water: Single-molecule force spectroscopic studies of PVA by AFM, Macromolecules 33, 465 (2000).
  35. B. J. Haupt, T. J. Senden, and E. M. Sevick, AFM evidence of Rayleigh instability in single polymer chains, Langmuir 18, 2174 (2002).
  36. L. Grebikova, M. Radiom, P. Maroni, A. D. Schlüter, and M. Borkovec, Recording stretching response of single polymer chains adsorbed on solid substrates, Polymer 102, 350 (2016).
  37. Z. Li, B. Zhang, Y. Song, Y. Xue, L. Wu, and W. Zhang, Single molecule study on polymer−nanoparticle interactions: The particle shape matters, Langmuir 33, 7615 (2017).
  38. F. Brochard-Wyart, T. H. Hervet, and P. Pincu, Unwinding of polymer chains under forces or flows, Europhys. Lett. 26, 511 (1994).
  39. F. Brochard-Wyart, Polymer chains under strong flows: Stems and flowers, Europhys. Lett. 30, 387 (1995).
  40. R. Rzehak, W. Kromen, T. Kawakatsu, and W. Zimmermann, Deformation of a tethered polymer in uniform flow, Eur. Phys. J. E 2, 3 (2000).
  41. C. A. Lueth and E. S. G. Shaqfeh, Experimental and numerical studies of tethered DNA shear dynamics in the flow-gradient plane, Macromolecules 42, 9170 (2009).
  42. T. Y. Lin, A. Saadat, A. Kushwaha, and E. S. G. Shaqfeh, Effect of length on the dynamics of wall tethered polymers in shear flow, Macromolecules 51, 254 (2018).
  43. T. T. Perkins, D. E. Smith, R. G. Larson, and S. Chu, Stretching of a single tethered polymer in a uniform flow, Science 268, 83 (1995).
  44. B. Ladoux and P. S. Doyle, Stretching tethered DNA chains in shear flow, Europhys. Lett. 52, 511 (2000).
  45. T. Roy, K. Szuttor, J. Smiatek, C. Holm, and S. Hardt, Stretching of surface-tethered polymers in pressure-driven flow under confinement, Soft Matter 13, 6189 (2017).
  46. J. K. Fisher, M. Ballenger, E. T. O’Brien, J. Haase, R. Superfine, and K. Bloom, DNA relaxation dynamics as a probe for the intracellular environment, Proc. Natl. Acad. Sci. USA 106, 9250 (2009).
  47. F. Brochard-Wyart, A. Buguin, and P. G. de Gennes, Dynamics of taut DNA chains, Europhys. Lett. 47, 171 (1999).
  48. Y. Wang, A. Warshawsky, C. Wang, N. Kahana, C. Chevall, and V. Steinberg, Fluorescent ultrahigh-molecular-weight polyacrylamide probes for dynamic flow systems: Synthesis, conformational behavior and imaging, Macromol. Chem. Phys. 203, 1833 (2002).
  49. R. K. Shah and A. L. London, Laminar Forced Convection in Ducts (Academic Press, San Diego, 1978).
  50. H. S. Heaton, W. C. Reynolds, and W. M. Kays, Heat transfer in annular passages. Simultaneous development of velocity and temperature fields in laminar flow, Int. J. Heat and Mass Trans. 7, 763 (1964).
  51. G. Sauerbrey, Verwendung von schwingquarzen zur wägung dünner schichten und zur mikrowägung, Zeitschrift für Physik 155, 206 (1959).
  52. R. L. Schoch and R. Y. H. Lim, Non-interacting molecules as innate structural probes in surface plasmon resonance, Langmuir 29, 4068 (2013).
  53. F. Höök and B. Kasemo, Variations in coupled water, viscoelastic properties, and film thickness of a Mefp-1 protein film during adsorption and cross-linking: A quartz crystal microbalance with dissipation monitoring, ellipsometry, and surface plasmon resonance study, Anal. Chem. 73, 5796 (2001).
  54. L. Howarth, On the solution of the laminar boundary layer equations, Proc. Roy. Soc. London. Ser. A 164, 547 (1938).
  55. Y. Magariyama, S. Sugiyama, K. Muramoto, I. Kawagishi, Y. Imae, and S. Kudo, Simultaneous measurement of bacterial flagellar rotation rate and swimming speed, Biophysical J. 69, 2154 (1995).
  56. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics (Springer, Berlin, 1983).

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Phys. Rev. Fluids 4, 074201– Published 30 July, 2019
  • Received 25 July 2018
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