The complex viscosity of Möbius macromolecules
| Autor: | Alan Jeffrey Giacomin, Jourdain H. Piette, Nicolas Moreno, Eliot Fried |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Fluid Flow and Transfer Processes
Physics animal structures Rheometry Mechanical Engineering Computational Mechanics Zero (complex analysis) Condensed Matter Physics 01 natural sciences Suspension (topology) 010305 fluids & plasmas Condensed Matter::Soft Condensed Matter symbols.namesake Viscosity Classical mechanics Rheology Mechanics of Materials 0103 physical sciences symbols Möbius strip Twist 010306 general physics Dimensionless quantity |
| DOI: | 10.1063/5.0022546 |
| Popis: | Using general rigid bead–rod theory, we explore the effect of twisting a macromolecule on its rheological properties in suspensions. We thus focus on macromolecules having the form of Möbius bands so that the number of twists can be incremented. We call these Möbius macromolecules. When represented in general rigid bead–rod theory, these macromolecules comprise beads whose centers all fall on a Möbius band. From first principles, we calculate the complex viscosity of twisted rings with zero to seven twists. We find that the zero-shear values of the viscosity and first normal stress coefficient increase with twisting. Furthermore, we find that the real part of the complex viscosity descends more rapidly, with frequency, with extent of twist. For the imaginary part of the complex viscosity, the more twisted, the higher the peak. For each part of the dimensionless complex viscosity and the first normal stress coefficient, the results fall on one of just three curves corresponding to zero, even, or odd numbers of twists. We also explore the effects of the length and the aspect ratio of twisted macromolecular suspensions. We close with a worked example for a suspension of triply twisted Möbius annulene. |
| Databáze: | OpenAIRE |
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