2022
DOI: 10.1021/acs.macromol.2c01422
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Excluded Volume Effect on the Extensional Rheology of Carbon Nanotubes: A Mesoscopic Theory

Abstract: We present a mesoscopic theory of the extensional rheology of liquid crystalline carbon nanotubes (CNTs). We implement the mesoscopic Leslie−Ericksen theory, considering the repulsive excluded volume potential acting in the direction opposite to the Frank elastic potential. Given the volume fraction, diameter, and length of the CNTs, our model predicts the extensional viscosity. The liquid crystalline phase of the CNTs exhibited extensional thinning behavior. In our theory, the rotational relaxation time is pr… Show more

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Cited by 4 publications
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“…On the other hand, because of the more orderly arrangement of polymers, the distance between polymer chains decreases, and the interaction improves, which increases the axial sliding in tension and consequently increases the elongation at break. The degree of the excluded volume of CNTs can be described using a dimensional parameter called the excluded volume potential, [ 61 ] V ex ≈ ndl 2 < sin𝜑 >, where n is the number of CNTs per unit volume, d is the diameter, l is the length, and 𝜑 is the misorientation angle. At the same orientation and volume fraction, V ex is scaled with the length ( l ) in an exponent of 2.…”
Section: Resultsmentioning
confidence: 99%
“…On the other hand, because of the more orderly arrangement of polymers, the distance between polymer chains decreases, and the interaction improves, which increases the axial sliding in tension and consequently increases the elongation at break. The degree of the excluded volume of CNTs can be described using a dimensional parameter called the excluded volume potential, [ 61 ] V ex ≈ ndl 2 < sin𝜑 >, where n is the number of CNTs per unit volume, d is the diameter, l is the length, and 𝜑 is the misorientation angle. At the same orientation and volume fraction, V ex is scaled with the length ( l ) in an exponent of 2.…”
Section: Resultsmentioning
confidence: 99%