The Library
Two-fluid kinetic theory for dilute polymer solutions
Tools
Tools
Tools
Singh, Shiwani, Subramanian, Ganesh and Ansumali, Santosh (2022) Two-fluid kinetic theory for dilute polymer solutions. Physical Review E, 106 (4). 044501. doi:10.1103/PhysRevE.106.044501 ISSN 1539-3755.
|
PDF
WRAP-Two-fluid-kinetic-theory-for-dilute-polymer-solutions-Singh-2022.pdf - Published Version - Requires a PDF viewer. Download (2814Kb) | Preview |
Official URL: http://dx.doi.org/10.1103/PhysRevE.106.044501
Abstract
We provide a Boltzmann-type kinetic description for dilute polymer solutions based on two-fluid theory. This Boltzmann-type description uses a quasiequilibrium based relaxation mechanism to model collisions between a polymer dumbbell and a solvent molecule. The model reproduces the desired macroscopic equations for the polymer-solvent mixture. The proposed kinetic scheme leads to a numerical algorithm which is along the lines of the lattice Boltzmann method. Finally, the algorithm is applied to describe the evolution of a perturbed Kolmogorov flow profile, whereby we recover the major elastic effect exhibited by a polymer solution, specifically, the suppression of the original inertial instability.
| Item Type: | Journal Article | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics Q Science > QD Chemistry T Technology > TA Engineering (General). Civil engineering (General) |
||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
| Library of Congress Subject Headings (LCSH): | Polymer solutions , Polymer solutions -- Mathematical models, Polymer solutions -- Fluid dynamics, Fluid dynamics -- Mathematical models, Kinetic theory of liquids | ||||||||||||
| Journal or Publication Title: | Physical Review E | ||||||||||||
| Publisher: | American Physical Society | ||||||||||||
| ISSN: | 1539-3755 | ||||||||||||
| Official Date: | 3 October 2022 | ||||||||||||
| Dates: |
|
||||||||||||
| Volume: | 106 | ||||||||||||
| Number: | 4 | ||||||||||||
| Number of Pages: | 21 | ||||||||||||
| Article Number: | 044501 | ||||||||||||
| DOI: | 10.1103/PhysRevE.106.044501 | ||||||||||||
| Status: | Peer Reviewed | ||||||||||||
| Publication Status: | Published | ||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||||||
| Copyright Holders: | American Physical Society | ||||||||||||
| Date of first compliant deposit: | 10 October 2022 | ||||||||||||
| Date of first compliant Open Access: | 11 October 2022 | ||||||||||||
| RIOXX Funder/Project Grant: |
|
||||||||||||
| Open Access Version: |
Request changes or add full text files to a record
Repository staff actions (login required)
 |
View Item |
Downloads
Downloads per month over past year
