2021
DOI: 10.1063/5.0063753
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Complex viscosity of graphene suspensions

Abstract: Atomically thin flat sheets of carbon, called graphene, afford interesting opportunities to study the role of orientation in suspensions. In this work, we use general rigid bead-rod theory to arrive at general expressions from first principles for the complex viscosity of graphene suspensions. General rigid bead-rod theory relies entirely on suspension orientation to explain the elasticity of the liquid. We obtain analytical expressions for the complex viscosity of triangular and hexagonal graphene sheets of a… Show more

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Cited by 12 publications
(3 citation statements)
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“…To compare their 3D results to our 2D model, we need to translate the bending rigidity parameter from 3D to 2D. To do so, we use the relation B ¼ 2RD ¼ E 1 6 Rh 3 obtained assuming that the cross section of the sheet is a rectangle of width equal to the diameter 2R and height h. With this relation, S % 5 Â 10 À3 corresponds to _ c L ' 500, slightly larger than what we observe but of the same order of magnitude (for this calculation, we have assumed an incompressible material, for which 2 ( 1). A semi-analytical result for the buckling threshold of disks was derived by Lingard and Whitmore 44 to model the buckling of red blood cells in shear flows.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…To compare their 3D results to our 2D model, we need to translate the bending rigidity parameter from 3D to 2D. To do so, we use the relation B ¼ 2RD ¼ E 1 6 Rh 3 obtained assuming that the cross section of the sheet is a rectangle of width equal to the diameter 2R and height h. With this relation, S % 5 Â 10 À3 corresponds to _ c L ' 500, slightly larger than what we observe but of the same order of magnitude (for this calculation, we have assumed an incompressible material, for which 2 ( 1). A semi-analytical result for the buckling threshold of disks was derived by Lingard and Whitmore 44 to model the buckling of red blood cells in shear flows.…”
Section: Discussionmentioning
confidence: 99%
“…Applications of graphene and other two-dimensional (2D) materials suspended in shear liquids pose new scientific questions for the fluid dynamics and non-linear mechanics of thin structures. [1][2][3][4] Two-dimensional nanomaterials are sheet-like crystals of atomic thickness which often take the form of colloidal particles. In this form, they are most often processed in the liquid state (e.g., in inks, [5][6][7] coatings, 8,9 polymer nanocomposite processing 10,11 and in liquid-phase exfoliation 12,13 ).…”
Section: Introductionmentioning
confidence: 99%
“…26,27 It is well documented that improving exfoliation efficiency and quality depends on further analysis of solvent selection and cavitation behavior, which changes with the characteristic properties of liquids. [28][29][30] Previous research [25][26][27]31,32 provides the foundation to expect that cavitation dynamics and SW propagation may vary distinctly due to significantly different density, surface tension, viscosity, vapor pressure, and speed of sound in the studied liquids. The results of this work can be applied to a wider range of dual frequency sonoprocesses where different properties are required, such as emulsification, 33 sonochemical synthesis, 34,35 in clinical practice, 36 and most notably the exfoliation of 2D nanomaterials.…”
Section: Introductionmentioning
confidence: 99%