Near wall motion of undulatory swimmers in non-Newtonian fluids

References

• Ardekani, A., Dabiri, S., & Rangel, R. (2008). Collision of multi-particle and general shape objects in a viscous fluid. Journal of Computational Physics, 227, 10094–10107.
   Web of Science ®Google Scholar
• Ardekani, A., Joseph, D., Dunn-Rankin, D., & Rangel, R. (2009). Particle-wall collision in a viscoelastic fluid. Journal of Fluid Mechanics, 633, 475–483.
   Web of Science ®Google Scholar
• Ardekani, A., Rangel, R., & Joseph, D. (2007). Motion of a sphere normal to a wall in a second-order fluid. Journal of Fluid Mechanics, 587, 163–172.
   Web of Science ®Google Scholar
• Berke, A. P., Turner, L., Berg, H. C., & Lauga, E. (2008). Hydrodynamic attraction of swimming microorganisms by surfaces. Physical Review Letters, 101, 038102-1–038102-4.
   Web of Science ®Google Scholar
• Bird, R. B., Armstrong, R. C. & Hassager, O. (1987). Dynamics of polymeric liquids. Vol. 1: Fluid mechanics. New York, NY: John Wiley and Sons Inc..
   Google Scholar
• Carreau, P. J., De Kee, D., & Chhabra, R. P. (1997). Rheology of polymeric systems: Principles and applications. Munich: Hanser Publishers.
   Google Scholar
• Chrispell, J., Fauci, L., & Shelley, M. (2013). An actuated elastic sheet interacting with passive and active structures in a viscoelastic fluid. Physics of Fluids, 25, 013103-1–013103-16.
   Web of Science ®Google Scholar
• Curtis, M., Kirkman-Brown, J., Connolly, T., & Gaffney, E. (2012). Modelling a tethered mammalian sperm cell undergoing hyperactivation. Journal of Theoretical Biology, 309, 1–10.
   PubMed Web of Science ®Google Scholar
• Dabiri, S., & Bhuvankar, P. (2016). Scaling law for bubbles rising near vertical walls. Physics of Fluids, 28, 062101-1–062101-13.
   Web of Science ®Google Scholar
• Dabiri, S., Doostmohammadi, A., Bayareh, M., & Ardekani, A. (2015). Rising motion of a swarm of drops in a linearly stratified fluid. International Journal of Multiphase Flow, 69, 8–17.
   Web of Science ®Google Scholar
• Dabiri, S., Lu, J., & Tryggvason, G. (2013). Transition between regimes of a vertical channel bubbly upflow due to bubble deformability. Physics of Fluids, 25, 102110-1–102110-12.
   Web of Science ®Google Scholar
• Dabiri, S., & Tryggvason, G. (2015). Heat transfer in turbulent bubbly flow in vertical channels. Chemical Engineering Science, 122, 106–113.
   Web of Science ®Google Scholar
• Datt, C., Zhu, L., Elfring, G. J., & Pak, O. S. (2015). Squirming through shear-thinning fluids. Journal of Fluid Mechanics, 784, R1-1–R1-11.
   Web of Science ®Google Scholar
• Drescher, K., Dunkel, J., Cisneros, L. H., Ganguly, S., & Goldstein, R. E. (2011). Fluid dynamics and noise in bacterial cell-cell and cell-surface scattering. Proceedings of the National Academy of Sciences of the United States of America, 108, 10940–10945.
   PubMed Web of Science ®Google Scholar
• Elgeti, J., Kaupp, U. B., & Gompper, G. (2010). Hydrodynamics of sperm cells near surfaces. Biophysical Journal, 99, 1018–1026.
   PubMed Web of Science ®Google Scholar
• Elgeti, J., Winkler, R. G., & Gompper, G. (2015). Physics of microswimmerssingle particle motion and collective behavior: A review. Reports on Progress in Physics, 78, 056601-1–056601-50.
   Web of Science ®Google Scholar
• Evans, A. A., & Lauga, E. (2010). Propulsion by passive filaments and active flagella near boundaries. Physical Review E, 82, 041915-1–041915-12.
   Web of Science ®Google Scholar
• Gagnon, D., & Arratia, P. (2016). The cost of swimming in generalized Newtonian fluids: Experiments with C. elegans. Journal of Fluid Mechanics, 800, 753–765.
   Web of Science ®Google Scholar
• Gagnon, D. A., Keim, N. C., & Arratia, P. E. (2014). Undulatory swimming in shear-thinning fluids: Experiments with Caenorhabditis elegans. Journal of Fluid Mechanics, 758, R3-1–R3-11.
   Web of Science ®Google Scholar
• Giesekus, H. (1982). A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility. Journal of Non-Newtonian Fluid Mechanics, 11, 69–109.
   Web of Science ®Google Scholar
• Glowinski, R., Pan, T., Hesla, T., Joseph, D., & Periaux, J. (2001). A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: Application to particulate flow. Journal of Computational Physics, 169, 363–426.
   Web of Science ®Google Scholar
• Guénette, R., & Fortin, M. (1995). A new mixed finite element method for computing viscoelastic flows. Journal of Non-Newtonian Fluid Mechanics, 60, 27–52.
   Web of Science ®Google Scholar
• Guy, R. D., & Thomases, B. (2015). Computational challenges for simulating strongly elastic flows in biology. In S.E. Spagnolie (Ed.), Complex fluids in biological systems (pp. 359–397). New York: Springer.
   Google Scholar
• Hall-Stoodley, L., Costerton, J. W., & Stoodley, P. (2004). Bacterial biofilms: From the natural environment to infectious diseases. Nature Reviews Microbiology, 2, 95–108.
   PubMed Web of Science ®Google Scholar
• Harman, M. W., Dunham-Ems, S. M., Caimano, M. J., Belperron, A. A., Bockenstedt, L. K., Fu, H. C., et al. (2012). The heterogeneous motility of the lyme disease spirochete in gelatin mimics dissemination through tissue. Proceedings of the National Academy of Sciences of the United States of America, 109, 3059–3064.
   PubMed Web of Science ®Google Scholar
• Hwang, S., Litt, M., & Forsman, W. (1969). Rheological properties of mucus. Rheologica Acta, 8, 438–448.
   Google Scholar
• Ishimoto, K., & Gaffney, E. A. (2014). A study of spermatozoan swimming stability near a surface. Journal of Theoretical Biology, 360, 187–199.
   PubMed Web of Science ®Google Scholar
• Kantsler, V., Dunkel, J., Polin, M., & Goldstein, R. E. (2013). Ciliary contact interactions dominate surface scattering of swimming eukaryotes. Proceedings of the National Academy of Sciences of the United States of America, 110, 1187–1192.
   PubMed Web of Science ®Google Scholar
• Katz, D. F. (1974). On the propulsion of micro-organisms near solid boundaries. Journal of Fluid Mechanics, 64, 33–49.
   Web of Science ®Google Scholar
• Lauga, E. (2007). Propulsion in a viscoelastic fluid. Physics of Fluids, 19, 083104-1–083104-13.
   Web of Science ®Google Scholar
• Lauga, E., DiLuzio, W. R., Whitesides, G. M., & Stone, H. A. (2006). Swimming in circles: Motion of bacteria near solid boundaries. Biophysical Journal, 90, 400–412.
   PubMed Web of Science ®Google Scholar
• Lauga, E., & Powers, T. R. (2009). The hydrodynamics of swimming microorganisms. Reports on Progress in Physics, 72, 096601-1–096601-36.
   Web of Science ®Google Scholar
• Li, G., & Ardekani, A. M. (2014). Hydrodynamic interaction of microswimmers near a wall. Physical Review E, 90, 013010-1–013010-12.
   Web of Science ®Google Scholar
• Li, G., & Ardekani, A. M. (2015). Undulatory swimming in non-Newtonian fluids. Journal of Fluid Mechanics, 784, R4-1–R4-13.
   Web of Science ®Google Scholar
• Li, G., Karimi, A., & Ardekani, A. M. (2014). Effect of solid boundaries on swimming dynamics of microorganisms in a viscoelastic fluid. Rheologica Acta, 53, 911–926.
   PubMed Web of Science ®Google Scholar
• Li, G., McKinley, G. H., & Ardekani, A. M. (2015). Dynamics of particle migration in channel flow of viscoelastic fluids. Journal of Fluid Mechanics, 785, 486–505.
   Web of Science ®Google Scholar
• Li, G., & Tang, J. X. (2009). Accumulation of microswimmers near a surface mediated by collision and rotational brownian motion. Physical Review Letters, 103, 078101-1–078101-4.
   Web of Science ®Google Scholar
• Martinez, V. A., Schwarz-Linek, J., Reufer, M., Wilson, L. G., Morozov, A. N., & Poon, W. C. (2014). Flagellated bacterial motility in polymer solutions. Proceedings of the National Academy of Sciences of the United States of America, 111, 17771–17776.
   PubMed Web of Science ®Google Scholar
• Montecucco, C., & Rappuoli, R. (2001). Living dangerously: How helicobacter pylori survives in the human stomach. Nature Reviews Molecular Cell Biology, 2, 457–466.
   PubMed Web of Science ®Google Scholar
• Montenegro-Johnson, T. D., Smith, A. A., Smith, D. J., Loghin, D., & Blake, J. R. (2012). Modelling the fluid mechanics of cilia and flagella in reproduction and development. European Physical Journal E, 35, 1–17.
   Web of Science ®Google Scholar
• Montenegro-Johnson, T. D., Smith, D. J., & Loghin, D. (2013). Physics of rheologically enhanced propulsion: Different strokes in generalized Stokes. Physics of Fluids, 25, 081903-1–081903-26.
   Web of Science ®Google Scholar
• Qin, B., Gopinath, A., Yang, J., Gollub, J. P., & Arratia, P. E. (2015). Flagellar kinematics and swimming of algal cells in viscoelastic fluids. Scientific Reports, 5, 9190-1–9190-7. DOI: 10.1038/srep09190.
   Web of Science ®Google Scholar
• Shen, X., & Arratia, P. E. (2011). Undulatory swimming in viscoelastic fluids. Physical Review Letters, 106, 208101-1–208101-4.
   Web of Science ®Google Scholar
• Rothschild, L. (1963). Non-random distribution of bull spermatozoa in a drop of sperm suspension. Nature, 198, 1221–1222.
   Web of Science ®Google Scholar
• Simons, J., Olson, S., Cortez, R., & Fauci, L. (2014). The dynamics of sperm detachment from epithelium in a coupled fluid-biochemical model of hyperactivated motility. Journal of Theoretical Biology, 354, 81–94.
   PubMed Web of Science ®Google Scholar
• Smith, D., Gaffney, E., Blake, J., & Kirkman-Brown, J. (2009). Human sperm accumulation near surfaces: A simulation study. Journal of Fluid Mechanics, 621, 289–320.
   Web of Science ®Google Scholar
• Spagnolie, S. E., & Lauga, E. (2012). Hydrodynamics of self-propulsion near a boundary: Predictions and accuracy of far-field approximations. Journal of Fluid Mechanics, 700, 105–147.
   Web of Science ®Google Scholar
• Suarez, S., & Pacey, A. (2006). Sperm transport in the female reproductive tract. Human Reproduction Update, 12, 23–37.
   PubMed Web of Science ®Google Scholar
• Taylor, G. (1951). Analysis of the swimming of microscopic organisms. Proceedings of the Royal Society A, 209, 447–461.
   Google Scholar
• Teran, J., Fauci, L., & Shelley, M. (2010). Viscoelastic fluid response can increase the speed and efficiency of a free swimmer. Physical Review Letters, 104, 038101-1–038101-4.
   Web of Science ®Google Scholar
• Thomases, B., & Guy, R. D. (2014). Mechanisms of elastic enhancement and hindrance for finite-length undulatory swimmers in viscoelastic fluids. Physical Review Letters, 113, 098102-1–098102-5.
   Web of Science ®Google Scholar
• Vélez-Cordero, J. R., & Lauga, E. (2013). Waving transport and propulsion in a generalized Newtonian fluid. Journal of Non-Newtonian Fluid Mechanics, 199, 37–50.
   Web of Science ®Google Scholar
• Wolf, D. P., Blasco, L., Khan, M. A., & Litt, M. (1977). Human cervical mucus. I. rheologic characteristics. Fertility and Sterility, 28, 41–46.
   PubMed Web of Science ®Google Scholar
• Woolley, D. (2003). Motility of spermatozoa at surfaces. Reproduction, 126, 259–270.
   PubMed Web of Science ®Google Scholar
• Yazdi, S., Ardekani, A. M., & Borhan, A. (2014). Locomotion of microorganisms near a no-slip boundary in a viscoelastic fluid. Physical Review E, 90, 043002-1–043002-11.
   Web of Science ®Google Scholar
• Yazdi, S., Ardekani, A. M., & Borhan, A. (2015). Swimming dynamics near a wall in a weakly elastic fluid. Journal of Nonlinear Science, 25, 1153–1167.
   Web of Science ®Google Scholar
• Yuan, J., Raizen, D. M., & Bau, H. H. (2015). Propensity of undulatory swimmers, such as worms, to go against the flow. Proceedings of the National Academy of Sciences of the United States of America, 112, 3606–3611.
   PubMed Web of Science ®Google Scholar