A viscoelastic flow instability near the solid body rotation limit

Arora, Kishor; Sureshkumar, R.

doi:10.1016/j.jnnfm.2005.09.001

Cited by 3 publications

(3 citation statements)

References 30 publications

(56 reference statements)

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“…Note that this pressure gradient is highly non-homogeneous in the circumferential direction as compared to the constant external pressure drop applied in the periodic channel flow. LSA showed that for an Oldroyd-B fluid, the co-rotating EC flow becomes unstable when Wee 2 d 1/2 attains O(1) values which compared favorably with experimentally reported ones where e and d denote the eccentricity and average gap width, respectively [32]. A mechanical energy budget analysis further showed that the dominant flow-microstructure coupling near the critical point is the convection of stress perturbations by base flow shear, as reported here for periodic channel flow.…”

Section: Conclusion and Discussionsupporting

confidence: 82%

“…This mechanism appears to be prevalent also in curvilinear flows with periodic variation in the cross-sectional area. For instance, Arora and Sureshkumar [32] recently performed a linear stability analysis of the flow in the gap between eccentric cylinders co-rotated at identical angular speeds. This configuration does not produce an elastic instability in the limiting case of co-rotating concentric cylinders (EC), which for narrow gaps reduces to a solid body rotation.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…A mechanical energy budget analysis further showed that the dominant flow-microstructure coupling near the critical point is the convection of stress perturbations by base flow shear, as reported here for periodic channel flow. Despite the mechanistic similarities, notable differences exist in the details of the pattern selection and spatial structure of the eigenfunctions [32].…”

Section: Conclusion and Discussionmentioning

confidence: 99%

See 2 more Smart Citations

Effect of purely elastic flow instability on molecular conformation and drag

Sadanandan

Sureshkumar

2006

Journal of Non-Newtonian Fluid Mechanics

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Section: Conclusion and Discussionsupporting

confidence: 82%

Section: Conclusion and Discussionmentioning

confidence: 99%

Section: Conclusion and Discussionmentioning

confidence: 99%

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Effect of purely elastic flow instability on molecular conformation and drag

Sadanandan

Sureshkumar

2006

Journal of Non-Newtonian Fluid Mechanics

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Perspectives on viscoelastic flow instabilities and elastic turbulence

2022

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Viscoelastic fluids are a common subclass of rheologically complex materials that are encountered in diverse fields from biology to polymer processing. Often the flows of viscoelastic fluids are unstable in situations where ordinary Newtonian fluids are stable, owing to the nonlinear coupling of the elastic and viscous stresses. Perhaps more surprisingly, the instabilities produce flows with the hallmarks of turbulence-even though the effective Reynolds numbers may be O(1) or smaller. We provide perspectives on viscoelastic flow instabilities by integrating the input from speakers at a recent international workshop: historical remarks, characterization of fluids and flows, discussion of experimental and simulation tools, and modern questions and puzzles that motivate further studies of this fascinating subject. The materials here will be useful for researchers and educators alike, especially as the subject continues to evolve in both fundamental understanding and applications in engineering and the sciences.I.

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Coarse-grained modeling of macromolecular solutions using a configuration-based approach

Venkataramani

Sureshkumar

Khomami

2008

Journal of Rheology

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An accurate, configuration-based, coarse-grained model for dilute macromolecular solutions is presented. The basic approach relies on exploring the macromolecular configurational diversity present in the flow of dilute polymeric solutions and identifying and partitioning the most frequently observed configurations, e.g., folds, half dumbbells, kinks, dumbbells, coils, and stretched states. The probability of finding any one of these configurations is calculated using a master configuration map that dictates the conditional probability of finding a configuration with a given chain extension. Each configuration class is modeled using a dumbbell description with a suitably modified drag coefficient. The configuration-based model is implemented using a Brownian dynamics simulation and the predictions are compared with the corresponding beadspring model and finitely extensible nonlinear elastic dumbbell in homogeneous steady shear and uniaxial extension. Finally, prospects for model improvement are discussed.

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A viscoelastic flow instability near the solid body rotation limit

Cited by 3 publications

References 30 publications

Effect of purely elastic flow instability on molecular conformation and drag

Effect of purely elastic flow instability on molecular conformation and drag

Perspectives on viscoelastic flow instabilities and elastic turbulence

Coarse-grained modeling of macromolecular solutions using a configuration-based approach

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