A constitutive model for sheared dense fiber suspensions

Khan, Monsurul; More, Rishabh V.; Ardekani, Arezoo M.

doi:10.1063/5.0134728

Title: A constitutive model for sheared dense fiber suspensions

Journal Article · Mon Jan 23 00:00:00 EST 2023 · Physics of Fluids

DOI:https://doi.org/10.1063/5.0134728· OSTI ID:2283541

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Purdue Univ., West Lafayette, IN (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

We propose a constitutive model to predict the viscosity of fiber suspensions, which undergoes shear thinning, at various volume fractions, aspect ratios, and shear stresses/rates. We calibrate the model using the data from direct numerical simulation and prove the accuracy by predicting experimental measurements from the literature. We use a friction coefficient decreasing with the normal load between the fibers to quantitatively reproduce the experimentally observed shear thinning in fiber suspensions. In this model, the effective normal contact force, which is directly proportional to the bulk shear stress, determines the effective friction coefficient. A rise in the shear stress reduces the effective friction coefficient in the suspension. As a result, the jamming volume fraction increases with the shear stress, resulting in a shear thinning in the suspension viscosity. Moreover, we extend the model to quantify the effects of fiber volume fraction and aspect ratio in the suspension. We calibrate this model using the data from numerical simulations for the rate-controlled shear flow. Once calibrated, we show that the model can be used to predict the relative viscosity for different volume fractions, shear stresses, and aspect ratios. The model predictions are in excellent agreement with the available experimental measurements from the literature. The findings of this study can potentially be used to tune the fiber size and volume fraction for designing the suspension rheology in various applications.

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Research Organization:: Purdue Univ., West Lafayette, IN (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: EE0008910

OSTI ID:: 2283541

Alternate ID(s):: OSTI ID: 1914365

Journal Information:: Physics of Fluids, Vol. 35, Issue 1; ISSN 1070-6631

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: A constitutive model for sheared dense fiber suspensions

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