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Research Papers

Compression of Viscoplastic Material Between Rotating Plates

[+] Author and Article Information
Sergei Alexandrov

Department of Mechanical Engineering, Yung-Ta Institute of Technology and Commerce, 316 Chunshan Road, Lin-Lo, Ping-Tung 909, Taiwansergei_alexandrov@yahoo.com

Yeau-Ren Jeng

Department of Mechanical Engineering, National Chung Cheng University, 168 University Road, Ming-Hsiung, Chia-Yi 621, Taiwan

J. Appl. Mech 76(3), 031017 (Mar 13, 2009) (6 pages) doi:10.1115/1.3005962 History: Received December 12, 2007; Revised September 04, 2008; Published March 13, 2009

An analysis is conducted of the two-dimensional flow of Bingham solids between two rotating plates. The maximum friction law is adopted at the plate surface. An asymptotic analysis of the solution is performed in the vicinity of the friction surface. Its results are used in a numerical procedure to obtain an accurate approximation of the solution near the friction surface. The through thickness distribution of velocities, the equivalent strain rate, and stresses is illustrated. Qualitative features of the solution are emphasized. The results are compared with the solution for rate-independent materials.

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Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 2

Variation of A and B with angle α

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Figure 3

Variation of the radial velocity with the polar angle at different values of α

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Figure 1

Geometry of the process

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Figure 4

Variation of the circumferential velocity with the polar angle at different values of α(1–α=10 deg, 2–α=20 deg, 3–α=30 deg, 4–α=40 deg, 5–α=45 deg, 6–α=70 deg)

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Figure 5

Variation of the equivalent strain rate with the polar angle at different values of α

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Figure 6

Variation of prr value with the polar angle at different values of α

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Figure 7

Variation of pθθ value with the polar angle at different values of α

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Figure 8

Variation of the shear stress with the polar angle at different values of α

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Figure 9

Variation of the average pressure with angle α at different values of w

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