TY - JOUR

T1 - Flows of linear polymer solutions and other suspensions of rod-like particles: Anisotropic micropolar-fluid theory approach

AU - Shelukhin, Vladimir

N1 - Funding Information: Funding: The research in Section 2 on rheology of anisotropic micropolar fluids is funded by the Government of the Russian Federation (Grant No. 14.W03.31.0002). The theoretical research and computations in Sections 3–5 concerning flows between two planes are funded by Russian Science Foundation (Grant No. 20-19-00058; Funder ID: 10.13039/501100006769). Publisher Copyright: © 2021 by the author. Licensee MDPI, Basel, Switzerland.

PY - 2021/11/1

Y1 - 2021/11/1

N2 - We formulate equations governing flows of suspensions of rod-like particles. Such suspensions include linear polymer solutions, FD-virus, and worm-like micelles. To take into account the particles that form and their rotation, we treat the suspension as a Cosserat continuum and apply the theory of micropolar fluids. Anisotropy of suspensions is determined through the inclusion of the microinertia tensor in the rheological constitutive equations. We check that the model is consistent with the basic principles of thermodynamics. In addition to anisotropy, the theory also captures gradient banding instability, coexistence of isotropic and nematic phases, sustained temporal oscillations of macroscopic viscosity, shear thinning and hysteresis. For the flow between two planes, we also establish that the total flow rate depends not only on the pressure gradient, but on the history of its variation as well.

AB - We formulate equations governing flows of suspensions of rod-like particles. Such suspensions include linear polymer solutions, FD-virus, and worm-like micelles. To take into account the particles that form and their rotation, we treat the suspension as a Cosserat continuum and apply the theory of micropolar fluids. Anisotropy of suspensions is determined through the inclusion of the microinertia tensor in the rheological constitutive equations. We check that the model is consistent with the basic principles of thermodynamics. In addition to anisotropy, the theory also captures gradient banding instability, coexistence of isotropic and nematic phases, sustained temporal oscillations of macroscopic viscosity, shear thinning and hysteresis. For the flow between two planes, we also establish that the total flow rate depends not only on the pressure gradient, but on the history of its variation as well.

KW - Anisotropy

KW - Hysteresis

KW - Micropolar fluids

KW - Rheology

KW - Rodlike particles

KW - Suspension

UR - http://www.scopus.com/inward/record.url?scp=85117958586&partnerID=8YFLogxK

U2 - 10.3390/polym13213679

DO - 10.3390/polym13213679

M3 - Article

C2 - 34771236

AN - SCOPUS:85117958586

VL - 13

JO - Polymers

JF - Polymers

SN - 2073-4360

IS - 21

M1 - 3679

ER -