Elongational and shear rheology of carbon nanotube suspensions

Manish K. Tiwari, Alexander V. Bazilevsky, Alexander Yarin, Constantine M. Megaridis

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

Rheological behavior of concentrated suspensions of chemical vapor deposition carbon nanotubes in uniaxial elongation and simple shear is studied experimentally and theoretically. Nanotubes are suspended in viscous host liquids-castor oil or its blends with n-decane. The elongational measurements are performed by analyzing self-thinning (due to surface tension effect) liquid threads of nanotube suspensions. A quasi-one-dimensional model is used to describe the self-thinning process, whereas corrections accounting for thread nonuniformity and necking are introduced a posteriori. The effects of nanotube concentration and aspect ratio, viscosity of the suspending liquid, and initial diameter of the self-thinning thread in uniaxial elongation are elucidated. The results for uniaxial elongation are compared with those for simple shear. The correspondence in the results of the shear and elongational measurements is addressed and interpreted. The results conform to the Herschel-Bulkley rheological constitutive equation (i.e., power law fluids with yield stress). However, the yield stress in elongation is about 40% higher than in simple shear flow, which suggests that the original Herschel-Bulkley model need modification with the yield stress being a function of the second invariant of the deviatoric stress tensor. The present effort is the first to study capillary self-thinning of Herschel-Bulkley liquids, which are exemplified here by suspensions of carbon nanotubes.

Original languageEnglish
Pages (from-to)597-609
Number of pages13
JournalRheologica Acta
Volume48
Issue number6
DOIs
Publication statusPublished - 2009 Apr 16
Externally publishedYes

Fingerprint

Carbon Nanotubes
Rheology
rheology
elongation
Elongation
threads
Carbon nanotubes
Suspensions
carbon nanotubes
Nanotubes
shear
Yield stress
nanotubes
Liquids
liquids
castor oil
Castor Oil
constitutive equations
stress tensors
Shear flow

Keywords

  • Capillary thread thinning
  • Extension and shear rheology
  • Extentional rheometer
  • Flow curve
  • Herschel-Bulkley fluid
  • Nanotube suspension
  • Yield stress

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

Cite this

Tiwari, M. K., Bazilevsky, A. V., Yarin, A., & Megaridis, C. M. (2009). Elongational and shear rheology of carbon nanotube suspensions. Rheologica Acta, 48(6), 597-609. https://doi.org/10.1007/s00397-009-0354-z

Elongational and shear rheology of carbon nanotube suspensions. / Tiwari, Manish K.; Bazilevsky, Alexander V.; Yarin, Alexander; Megaridis, Constantine M.

In: Rheologica Acta, Vol. 48, No. 6, 16.04.2009, p. 597-609.

Research output: Contribution to journalArticle

Tiwari, MK, Bazilevsky, AV, Yarin, A & Megaridis, CM 2009, 'Elongational and shear rheology of carbon nanotube suspensions', Rheologica Acta, vol. 48, no. 6, pp. 597-609. https://doi.org/10.1007/s00397-009-0354-z
Tiwari MK, Bazilevsky AV, Yarin A, Megaridis CM. Elongational and shear rheology of carbon nanotube suspensions. Rheologica Acta. 2009 Apr 16;48(6):597-609. https://doi.org/10.1007/s00397-009-0354-z
Tiwari, Manish K. ; Bazilevsky, Alexander V. ; Yarin, Alexander ; Megaridis, Constantine M. / Elongational and shear rheology of carbon nanotube suspensions. In: Rheologica Acta. 2009 ; Vol. 48, No. 6. pp. 597-609.
@article{9f1357ce9fff486495f584aedba0f698,
title = "Elongational and shear rheology of carbon nanotube suspensions",
abstract = "Rheological behavior of concentrated suspensions of chemical vapor deposition carbon nanotubes in uniaxial elongation and simple shear is studied experimentally and theoretically. Nanotubes are suspended in viscous host liquids-castor oil or its blends with n-decane. The elongational measurements are performed by analyzing self-thinning (due to surface tension effect) liquid threads of nanotube suspensions. A quasi-one-dimensional model is used to describe the self-thinning process, whereas corrections accounting for thread nonuniformity and necking are introduced a posteriori. The effects of nanotube concentration and aspect ratio, viscosity of the suspending liquid, and initial diameter of the self-thinning thread in uniaxial elongation are elucidated. The results for uniaxial elongation are compared with those for simple shear. The correspondence in the results of the shear and elongational measurements is addressed and interpreted. The results conform to the Herschel-Bulkley rheological constitutive equation (i.e., power law fluids with yield stress). However, the yield stress in elongation is about 40{\%} higher than in simple shear flow, which suggests that the original Herschel-Bulkley model need modification with the yield stress being a function of the second invariant of the deviatoric stress tensor. The present effort is the first to study capillary self-thinning of Herschel-Bulkley liquids, which are exemplified here by suspensions of carbon nanotubes.",
keywords = "Capillary thread thinning, Extension and shear rheology, Extentional rheometer, Flow curve, Herschel-Bulkley fluid, Nanotube suspension, Yield stress",
author = "Tiwari, {Manish K.} and Bazilevsky, {Alexander V.} and Alexander Yarin and Megaridis, {Constantine M.}",
year = "2009",
month = "4",
day = "16",
doi = "10.1007/s00397-009-0354-z",
language = "English",
volume = "48",
pages = "597--609",
journal = "Rheologica Acta",
issn = "0035-4511",
publisher = "Springer Verlag",
number = "6",

}

TY - JOUR

T1 - Elongational and shear rheology of carbon nanotube suspensions

AU - Tiwari, Manish K.

AU - Bazilevsky, Alexander V.

AU - Yarin, Alexander

AU - Megaridis, Constantine M.

PY - 2009/4/16

Y1 - 2009/4/16

N2 - Rheological behavior of concentrated suspensions of chemical vapor deposition carbon nanotubes in uniaxial elongation and simple shear is studied experimentally and theoretically. Nanotubes are suspended in viscous host liquids-castor oil or its blends with n-decane. The elongational measurements are performed by analyzing self-thinning (due to surface tension effect) liquid threads of nanotube suspensions. A quasi-one-dimensional model is used to describe the self-thinning process, whereas corrections accounting for thread nonuniformity and necking are introduced a posteriori. The effects of nanotube concentration and aspect ratio, viscosity of the suspending liquid, and initial diameter of the self-thinning thread in uniaxial elongation are elucidated. The results for uniaxial elongation are compared with those for simple shear. The correspondence in the results of the shear and elongational measurements is addressed and interpreted. The results conform to the Herschel-Bulkley rheological constitutive equation (i.e., power law fluids with yield stress). However, the yield stress in elongation is about 40% higher than in simple shear flow, which suggests that the original Herschel-Bulkley model need modification with the yield stress being a function of the second invariant of the deviatoric stress tensor. The present effort is the first to study capillary self-thinning of Herschel-Bulkley liquids, which are exemplified here by suspensions of carbon nanotubes.

AB - Rheological behavior of concentrated suspensions of chemical vapor deposition carbon nanotubes in uniaxial elongation and simple shear is studied experimentally and theoretically. Nanotubes are suspended in viscous host liquids-castor oil or its blends with n-decane. The elongational measurements are performed by analyzing self-thinning (due to surface tension effect) liquid threads of nanotube suspensions. A quasi-one-dimensional model is used to describe the self-thinning process, whereas corrections accounting for thread nonuniformity and necking are introduced a posteriori. The effects of nanotube concentration and aspect ratio, viscosity of the suspending liquid, and initial diameter of the self-thinning thread in uniaxial elongation are elucidated. The results for uniaxial elongation are compared with those for simple shear. The correspondence in the results of the shear and elongational measurements is addressed and interpreted. The results conform to the Herschel-Bulkley rheological constitutive equation (i.e., power law fluids with yield stress). However, the yield stress in elongation is about 40% higher than in simple shear flow, which suggests that the original Herschel-Bulkley model need modification with the yield stress being a function of the second invariant of the deviatoric stress tensor. The present effort is the first to study capillary self-thinning of Herschel-Bulkley liquids, which are exemplified here by suspensions of carbon nanotubes.

KW - Capillary thread thinning

KW - Extension and shear rheology

KW - Extentional rheometer

KW - Flow curve

KW - Herschel-Bulkley fluid

KW - Nanotube suspension

KW - Yield stress

UR - http://www.scopus.com/inward/record.url?scp=67549130186&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=67549130186&partnerID=8YFLogxK

U2 - 10.1007/s00397-009-0354-z

DO - 10.1007/s00397-009-0354-z

M3 - Article

VL - 48

SP - 597

EP - 609

JO - Rheologica Acta

JF - Rheologica Acta

SN - 0035-4511

IS - 6

ER -