Comparison of numerical simulations and birefringence measurements in viscoelastic flow between eccentric rotating cylinders. Rajagopalan, D. Journal of Rheology, 36(7):1349, October, 1992. Paper doi abstract bibtex Finite-element predictions of steady, two-dimensional viscoelasticflow based on the elastic-viscous split stress formulation of Rajagopalan et al. [Rajagopalan, D., R. C. Armstrong, and R. A. Brown, ``Finite Element Methods for Calculation of Steady, ViscoelasticFlow Using Constitutive Equations with a Newtonian Viscosity,'' J. Non-Newt. Fluid Mech. 36, 159–192 (1990)] are compared to birefringencemeasurements of stress for flow between eccentric rotating cylinders of a solution of polystyrene in tricresyl phosphate. Steady and small-amplitude oscillatory shearing measurements are used to characterize the shear flow rheology of the fluid, and a four-mode Giesekus model with a Newtonian solvent viscosity is fit to the rheological data. Comparison of the stress fields measured by flow-induced birefringence in the one-dimensional flow between concentric cylinders to the mechanically measured viscometric data show that the optical data compare reasonably well with the mechanical data. Comparison of optical measurements and finite-element predictions in the two-dimensional, eccentric cylinder flow, show good pointwise agreement throughout most regions of the flow.
@article{rajagopalan_comparison_1992,
Abstract = {Finite-element predictions of steady, two-dimensional viscoelasticflow based on the elastic-viscous split stress formulation of Rajagopalan et al. [Rajagopalan, D., R. C. Armstrong, and R. A. Brown, ``Finite Element Methods for Calculation of Steady, ViscoelasticFlow Using Constitutive Equations with a Newtonian Viscosity,'' J. Non-Newt. Fluid Mech. 36, 159--192 (1990)] are compared to birefringencemeasurements of stress for flow between eccentric rotating cylinders of a solution of polystyrene in tricresyl phosphate. Steady and small-amplitude oscillatory shearing measurements are used to characterize the shear flow rheology of the fluid, and a four-mode Giesekus model with a Newtonian solvent viscosity is fit to the rheological data. Comparison of the stress fields measured by flow-induced birefringence in the one-dimensional flow between concentric cylinders to the mechanically measured viscometric data show that the optical data compare reasonably well with the mechanical data. Comparison of optical measurements and finite-element predictions in the two-dimensional, eccentric cylinder flow, show good pointwise agreement throughout most regions of the flow.},
Author = {Rajagopalan, Dilip},
Doi = {10.1122/1.550266},
Journal = {Journal of Rheology},
Month = oct,
Number = {7},
Pages = {1349},
Title = {Comparison of numerical simulations and birefringence measurements in viscoelastic flow between eccentric rotating cylinders},
Url = {http://scitation.aip.org/content/sor/journal/jor2/36/7/10.1122/1.550266},
Volume = {36},
Year = {1992},
Bdsk-Url-1 = {http://scitation.aip.org/content/sor/journal/jor2/36/7/10.1122/1.550266},
Bdsk-Url-2 = {http://dx.doi.org/10.1122/1.550266}}
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