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TECHNICAL PAPERS

On the Nearly Viscometric Torsional Motion of Viscoelastic Liquids Between Shrouded Rotating Disks

[+] Author and Article Information
Dennis A. Siginer

Department of Mechanical Engineering, College of Engineering, Wichita State University, Wichita, KS 67260-0133e-mail: dennis.siginer@wichita.edu

J. Appl. Mech 71(3), 305-313 (Jun 22, 2004) (9 pages) doi:10.1115/1.1651538 History: Received January 02, 2001; Revised September 19, 2003; Online June 22, 2004
Copyright © 2004 by ASME
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References

Figures

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Level lines of azimuthal velocity: δ=0.5; caps counterrotating with the top cap twice as fast as the bottom, λ=−2
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Level lines of azimuthal velocity: δ=0.5; same sense rotation with the top cap rotating twice as fast as the bottom, λ=2
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Contour lines of the dimensionless Newtonian second-order stream function δ=2, λ=−2
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Meridional flow configurations in a tall cylinder, δ=2, at fixed cap rotation ratio |λ|=2, with varying dimensionless elasticity parameter β. (a) β<0.01; (b) β<βcr; (c) β=βcr+ε; (d) β=βcr−ε; (e) β=β⁁cr+ε; (f) β>β⁁cr; (g) β≫β⁁cr; (h) β=0.1.
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Meridional flow configurations in a tall cylinder, δ=2, at a fixed value of the elasticity parameter β such that β<β⁁cr, with varying cap ratio λ. (a) −2<λ<−1; λ→−1; (b) λ=±1; (c) −1<λ<0; λ→0; (d) λ=0 (e) 0<λ<1; λ→1; (f) 1<λ<2; λ→2; (g) λ=λcr+ε (h) λ>λcr (i) λ≫λcr.
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Same as Fig. 6 except for β>β⁁cr. (a) λ=±1; (b) −1<λ<0; λ→0; (c) λ=0; (d) λ=λcr+ε (e) λ>λcr; (f) λ≫λcr.
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Bifurcated flow field configuration in the meridional plane. β is slightly larger than βcr. β=0.03, δ=2, λ=−2.
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Bifurcated flow field configuration in the meridional plane. β is slightly larger than β⁁cr. β=0.0375, δ=2, λ=−2.
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Dimensionless meridional stream function contours. β=0.1, δ=2, λ=−2.
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Dimensionless meridional stream function contours. β=0.03, δ=2, λ=−1.
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Same as Fig. 11 except for β=0.0375
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Same as Fig. 11 except for λ=0
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Same as Fig. 13 except for β=0.0375
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Bifurcated meridional flow field configuration. β is slightly larger than βcr; β=0.03, δ=1, λ=−2.
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Bifurcated meridional flow field configuration. β is slightly larger than β⁁cr; β=0.0375, δ=1, λ=−2.
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Dimensionless meridional stream function contours. β=0.1, δ=1, λ=−2.
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Dimensionless meridional stream function contours. β=0.0375, δ=1, λ=0.
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Contour lines of the dimensionless Newtonian second-order stream function; δ=0.5, λ=2. If λ=−2, the field is qualitatively the same with a stronger and weaker corner and central eddy, respectively.
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Bifurcated meridional flow field configuration. β is slightly larger than βcr. β=0.02, δ=0.5, λ=−2.
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Bifurcated meridional flow field configuration. β is somewhat larger than βcr. β=0.0375, δ=0.5, λ=−2.
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Dimensionless meridional stream function contours. β=0.1, δ=0.5, λ=−2.

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