A comparison of the drag coefficients of spheres translating in corn-syrup-based and polybutene-based boger fluids

Chmielewski, C.; Nichols, Kevin; Jayaraman, K.

doi:10.1016/0377-0257(90)85071-6

Cited by 45 publications

(15 citation statements)

References 27 publications

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“…Our measurements of the wall correction factor K for steady viscoelastic flow of a sphere in a tube corroborate the earlier findings of Tirtaatmadja et al ( 1990) and Chmielewski et al ( 1990) of a pronounced drag increase in PIB-based Boger fluids at high De. By obtaining measurements of U, in tubes of differing cross section, it is possible to calculate the viscoelastic drag correction factor X, in the absence of bounding walls.…”

Section: Discussionsupporting

confidence: 90%

“…00 ,,,,,,,,,,,/,,,,,,~/,,,,,/,,,,/,,,/,,,,,,,,,,, At our highest Deborah number of Del = 9.3, the dimensionless drag is K = 2.4, representing a 24% drag increase. The steady-state drag force for a sphere in creeping motion has previously been measured experimentally by Tirtaatmadja et al ( 1990) in the Ml Boger fluid and by Chmielewski et al (1990) in corn syrup-based and polybutene-based Boger fluids. Both give the dimensionless drag coefficient X, for spheres settling in unbounded domains, the former showing a drag increase of nearly 30% at a Deborah number De -2, while the latter found a drag increase of about 15% at De -0.7 in a PIB fluid, but a drag reduction of about 25% in corn syrupbased fluids.…”

Section: Resultsmentioning

confidence: 99%

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The unsteady motion of a sphere in a viscoelastic fluid

Becker¹,

McKinley²,

Rasmussen³

et al. 1994

Journal of Rheology

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SynopsisThe motion of a sphere accelerating from rest along the center line of a cylindrical tube filled with a polyisobutylene (PIB) Boger fluid is examined both experimentally, using a digital imaging system, and numerically via a Lagrangian finite element method for single and multimode Oldroyd models including inertia. Spheres of diameter 2.54 cm and varying densities are released in a tube of radius 5.23 cm. Deborah numbers in the range 0.4 < De ( 11.7 are obtained, and the experimental results show transient velocity overshoots of up to 50% before the spheres approach their final constant settling velocity. Independent measurements of this settling velocity indicate significant drag increases at high De. The numerical calculations are compared with the experimental data, and markedly improved agreement is obtained for multimode simulations.

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Section: Discussionsupporting

confidence: 90%

Section: Resultsmentioning

confidence: 99%

The unsteady motion of a sphere in a viscoelastic fluid

Becker¹,

McKinley²,

Rasmussen³

et al. 1994

Journal of Rheology

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“…Computations are based on the EVSS-formulation. Satrape and Crochet [41] compare computed drag on a falling sphere using a FENE model with experimental data of Chhabra et al [142], see Chmielewski et al [143] for related experimental results, Melts. A significant portion of the work on numerical analysis of viscoelastic flow of polymer melts is based on streamline integration methods employing KBKZ-type constitutive models with a damping function due to Papanastasiou, Scriven and Macosko [144] (PSM) or Wagner [145].…”

Section: Comparison With Experimentsmentioning

confidence: 99%

Mixed finite element methods for viscoelastic flow analysis: a review

Baaijens

1998

Journal of Non-Newtonian Fluid Mechanics

271

150

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The progress made during the past decade in the application of mixed finite element methods to solve viscoelastic flow problems using differential constitutive equations is reviewed. The algorithmic developments are discussed in detail. Starting with the classical mixed formulation, the elastic viscous stress splitting (EVSS) method as well as the related discrete EVSS and the so-called EVSS-G method are discussed among others. Furthermore, stabilization techniques such as the streamline upwind PetrovGalerkin (SUPG) and the discontinuous Galerkin (DG) are reviewed. The performance of the numerical schemes for both smooth and non-smooth benchmark problems is discussed. Finally, the capabilities of viscoelastic flow solvers to predict experimental observations are reviewed.

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“…(11a) and (12a), and hereafter, X ð0Þ j denotes the zero (axisymmetric) /-Fourier mode of any dependent variable X at O(De j ); see also below in Eq. (13).…”

Section: Methods Of Solutionmentioning

confidence: 95%

“…The solution is found by first substituting expressions (13) in the appropriate set of differential equations and accompanied boundary conditions. This procedure simplifies the partial differential equations to second-order, linear ordinary differential equations in the radial coordinate.…”

Section: Methods Of Solutionmentioning

confidence: 99%