Hydrodynamic interaction within star-branched macromolecules

Author:

Pak Myong Chol1ORCID,Chakraborty R.23ORCID,Kanso M. A.3ORCID,Kim Kwang-Il1ORCID,Giacomin A. J.3456ORCID

Affiliation:

1. Department of Physics, Kim Il Sung University, Taesong District, Pyongyang 999093, Democratic People's Republic of Korea

2. Chemical Engineering Department, Jadavpur University, Kolkata 700032, India

3. Chemical Engineering Department, Polymers Research Group, Queen's University, Kingston, Ontario K7L 3N6, Canada

4. Mechanical and Materials Engineering Department, Queen's University, Kingston, Ontario K7L 3N6, Canada

5. Physics, Engineering Physics and Astronomy Department, Queen's University, Kingston, Ontario K7L 3N6, Canada

6. Mechanical Engineering Department, University of Nevada, Reno, Nevada 89557-0312, USA

Abstract

Recent work arrived at expressions for the complex viscosity of a suspension of star-branched macromolecules [Coombs, Phys Fluids, 33, 093111 (2021)] using general rigid bead-rod theory without hydrodynamic interaction. In this work, we advance the theory by accounting for intramolecular interactions modeled with the interferences of Stokes flow solvent velocity profiles between adjacent beads. We derive the analytical expression for the complex viscosity of a suspension of four-arm star-branched macromolecules as a function of the number of beads in each arm [Formula: see text] and of the hydrodynamic interaction parameter [Formula: see text]. We test our comprehensive theory against complex viscosity measurements of a cis-polybutadiene silicon-centered four-arm star suspension. We find the incorporation of hydrodynamic interaction improves the fit to complex viscosity measurements.

Funder

National program on Key Science Research of Democratic People's Republic of Korea

Natural Sciences and Engineering Research Council of Canada

Vanier Canada Research Scholarship

Mitacs

Research Initiation Grant of Queen's University

Publisher

AIP Publishing

Subject

Condensed Matter Physics,Fluid Flow and Transfer Processes,Mechanics of Materials,Computational Mechanics,Mechanical Engineering

Reference19 articles.

1. Complex viscosity of star-branched macromolecules from analytical general rigid bead-rod theory

2. S. J. Coombs , “ Macromolecular branching from general rigid bead-rod theory,” M.S. thesis (Queen's University, Kingston, Canada, 2021).

3. R. Chakraborty , D. Singhal , M. A. Kanso , and A. J. Giacomin , “ Macromolecular complex viscosity from space-filling equilibrium structure,” PRG Report Nos. 088 and QU-CHEE-PRGTR-2022-88 ( Queen's University, Kingston, Canada, 2022).

4. Macromolecular complex viscosity from space-filling equilibrium structure

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