Macromolecular Research, Vol.17, No.10, 807-812, October, 2009
Tumbling Dynamics of Rod-like and Semi-flexible Polymers in Simple Shear and Mixed Flows
E-mail:
In this work, we focus on the tumbling dynamics of rod-like and semi-flexible polymers in mixed flows, which vary from simple shear to pure rotation. By employing a bead-rod model, the tumbling pathways and periods are examined with a focus on the angular distribution of their orientation. Under the mixed flows, the tumbling dynamics agreed well with earlier studies and confirmed the predicted scaling laws. We found that the angular distribution deviates from that of shear flow as the flow type approaches pure rotation. Finally, we investigated the angular distribution of λ-DNA in a shear flow and found that the present numerical simulations were in quantitative agreement with the previous experimental data.
- Doyle PS, Bibette J, Bancaud A, Viovy JL, Science, 295, 2237 (2002)
- Teclemariam NP, Beck VA, Shaqfeh ESG, Muller SJ, Macromolecules, 40(10), 3848 (2007)
- Kim JM, Doyle PS, Lab Chip, 7, 213 (2007)
- Larson RG, J. Rheol., 49(1), 1 (2005)
- Shaqfeh ESG, J. Non-Newton. Fluid Mech., 130(1), 1 (2005)
- Perkins TT, Smith DE, Chu S, Science, 276(5321), 2016 (1997)
- Smith DE, Babcock HP, Chu S, Science, 283(5408), 1724 (1999)
- Schroeder CM, Teixeira RE, Shaqfeh ESG, Chu S, Phys. Rev. Lett., 95, 018301 (2005)
- Teixeira RE, Babcock HP, Shaqfeh ESG, Chu S, Macromolecules, 38(2), 581 (2005)
- Lee JS, Dylla-Spears R, Teclemariam NP, Muller SJ, Appl. Phys. Lett., 90, 074103 (2007)
- Celani A, Puliafito A, Turitsyn K, Europhys. Lett., 70, 464 (2005)
- Turitsyn KS, J. Exp. Theo. Phys., 105, 655 (2007)
- Gerashchenko S, Steinberg V, Phys. Rev. Lett., 96, 038304 (2006)
- Lee JS, Shaqfeh ESG, Muller SJ, Phys. Rev. E, 75, 040802 (2007)
- Maier B, Radler JO, Macromolecules, 33(19), 7185 (2000)
- Bird RB, Curtiss CF, Armstrong RC, Hassager O, Dynamics of Polymeric Liquids, Wiley, New York, 1987, Vol. 2
- Doyle PS, Shaqfeh ESG, Gast AP, J. Fluid Mech., 334, 251 (1997)
- Doi M, Edwards SF, The Theory of Polymer Dynamics, Oxford Univ. Press (1988)
- Puliafito A, Turitsyn K, Physica D, 211, 9 (2005)
- Hinch EJ, Leal LG, J. Fluid Mech., 92, 591 (1979)
- Somasi M, Khomami B, Woo NJ, Hur JS, Shaqfeh ESG, J. Non-Newton. Fluid Mech., 108(1-3), 227 (2002)
- Liu TW, J. Chem. Phys., 90, 5826 (1989)
- Hsieh CC, Jain S, Larson RG, J. Chem. Phys., 124, 044911 (2006)
- Hur JS, Shaqfeh ESG, Larson RG, J. Rheol., 44(4), 713 (2000)