General rigid bead-rod theory is actively used for connecting the complex viscosity of polymeric liquids to the structure of macromolecules. Using general rigid bead-rod theory, the rheological properties of polymeric liquids have been investigated theoretically and applied practically. In this paper, we include the hydrodynamic interaction of the nearest neighboring beads into general rigid bead-rod theory. By applying our new method, structure by structure, to backbone branched macromolecular configurations, we investigate the interplay of hydrodynamic interaction with the number of branches, branch length, and branch positions. We learn that the effect of hydrodynamic interaction is greater in branched macromolecules than in unbranched. In the future, this method will play an important role in the study of the rheological properties of polymeric liquids, wherever hydrodynamic interaction matters.
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February 2022
Research Article|
February 09 2022
General rigid bead-rod theory with hydrodynamic interaction for polymer viscoelasticity
Special Collection:
Celebration of Robert Byron Bird (1924-2020)
Myong Chol Pak (박명철)
;
Myong Chol Pak (박명철)
a)
1
Department of Physics, Kim Il Sung University
, Taesong District, Pyongyang 999093, Democratic People's Republic of Korea
a) Author to whom correspondence should be addressed: myongcholpak@163.com
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Kwang-Il Kim (김광일)
;
Kwang-Il Kim (김광일)
1
Department of Physics, Kim Il Sung University
, Taesong District, Pyongyang 999093, Democratic People's Republic of Korea
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M. A. Kanso
;
M. A. Kanso
2
Chemical Engineering Department, Polymers Research Group
, Kingston, Ontario K7L 3N6, Canada
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A. J. Giacomin
A. J. Giacomin
2
Chemical Engineering Department, Polymers Research Group
, Kingston, Ontario K7L 3N6, Canada
3
Physics, Engineering Physics and Astronomy Department, Queen's University
, Kingston, Ontario K7L 3N6, Canada
4
Mechanical and Materials Engineering Department
, Kingston, Ontario K7L 3N6, Canada
5
Mechanical Engineering Department, University of Nevada
, Reno, Nevada 89557, USA
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a) Author to whom correspondence should be addressed: myongcholpak@163.com
Note: This paper is part of the special topic, Celebration of Robert Byron Bird (1924-2020).
Physics of Fluids 34, 023106 (2022)
Article history
Received:
November 25 2021
Accepted:
January 14 2022
Citation
Myong Chol Pak, Kwang-Il Kim, M. A. Kanso, A. J. Giacomin; General rigid bead-rod theory with hydrodynamic interaction for polymer viscoelasticity. Physics of Fluids 1 February 2022; 34 (2): 023106. https://doi.org/10.1063/5.0079900
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