Lateral-Concentration Inhomogeneities in Flows of Suspensions of Rod-like Particles: The Approach of the Theory of Anisotropic Micropolar Fluid

Lateral-Concentration Inhomogeneities in Flows of Suspensions of Rod-like Particles: The Approach of the Theory of Anisotropic Micropolar Fluid Full article

Journal

Mathematics
ISSN: 2227-7390

Output data

Year: 2023, Volume: 11, Number: 23, Article number : 4740, Pages count : 25 DOI: 10.3390/math11234740

Funding (2)

1	Российский научный фонд	20-19-00058
2	Министерство науки и высшего образования Российской Федерации	FWGG-2021-0002

To tackle suspensions of particles of any shape, the thermodynamics of a Cosserat continuum are developed by the method suggested by Landau and Khalatnikov for the mathematical description of the super-fluidity of liquid 2He. Such an approach allows us to take into account the rotation of particles and their form. The flows of suspensions of neutrally buoyant rod-like particles are considered in detail. These suspensions include linear polymer solutions, FD-virus and worm-like micelles. The anisotropy of the suspensions is determined through the inclusion of the micro-inertia tensor in the rheological constitutive equations. The theory predicts gradient banding, temporal volatility of apparent viscosity and hysteresis of the flux-pressure curve. The transition from the isotropic phase to the nematic phase is also captured. Our mathematical model predicts the formation of flock-like inhomogeneities of concentration jointly with the hindrance effect

Shelukhin V.V.
Lateral-Concentration Inhomogeneities in Flows of Suspensions of Rod-like Particles: The Approach of the Theory of Anisotropic Micropolar Fluid
Mathematics. 2023. V.11. N23. 4740 :1-25. DOI: 10.3390/math11234740 WOS Scopus РИНЦ OpenAlex

Submitted:	Oct 24, 2023
Accepted:	Nov 20, 2023
Published print:	Nov 23, 2023

Web of science:	WOS:001117931500001
Scopus:	2-s2.0-85178932222
Elibrary:	65433376
OpenAlex:	W4388942080

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