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Rheology pp 65-70 | Cite as

Elastic Gel Birefringence Method as Applied to the Stress Analysis of Hole Pressure Error

  • Teikichi Arai

Abstract

From the comparison between birefringence data of flowing polmmer melt through a duct and of the jelly solidified in the same duct exhibited when deformed under static load, I presented a paper in 1975 informing the following concept: The same distributions of the relative deviatoric stress intensity and direction as a polymer melt shows will be generated by a deformation of an elastic gel in case its selection is appropriate with respect to its shear modulus, birefringence sensitivity and the magnitude of the applied load.1 Although the theoretical verification of its rationality was regarded as difficult, the anticipation on the interrelations between birefringence responses of arbitrary liquid and dolis was expected to afford, when experimentally proved valid, a very useful analogical method of stress analysis of flowing liquid and provide a lot of data useful for the industrial purposes.2 Hence I called this method “Elastic gel birefringence method” or more briefly “Gel birefringence method” and have continued experimental clarification without finding any practical contradiction. The present paper is concerned with its extended application accompanied by relevant simultaneous pressure determinations to giving insight into the hole pressure error3 on which inconsistent interpretations have been reported in literature.

Keywords

Fringe Order Simple Shear Deformation Extinction Angle Exit Edge Parallel Slit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    T. Aral, H. Hatta and T. Ikeda, Birefringences of Rubber-like Solids in Slit Duct as Compared with Those of Polymer Melts Flowing through the Same Ducts, in Proc. 7th. Int. Congr. Rheology, Gothenburg (1977).Google Scholar
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    T. Arai and H. Hatta, Analogical Stress Analysis of Liquid Flow by the Birefringence Determination of Jelly under Load, in “Flow Visualization”, T. Asanuma, ed., Hemisphere Pub., Washington (1979).Google Scholar
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    R. I. Tanner and A. C. Pipkin, Intrinsic Errors in Hole Pressure Measurements, Trans. Soc. Rheol., 13: 471 (1969).CrossRefGoogle Scholar
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    T. Arai and H. Asano, Analysis of Flow of Molten Polyethylene through a parallel slit by the Birefringence Method, Kobunshi Kagaku (in Japanese), 18: 292 (1972).Google Scholar
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    T. H. Hou, P. P. Tong and L. DeVargas, On the Origin of the Hole Pressure, Rheol. Acta, 16: 554 (1977).CrossRefGoogle Scholar
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Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • Teikichi Arai
    • 1
  1. 1.Department of Mechanical Engineering, Faculty of EngineeringKeio UniversityKohoku-ku, Yokohama, 223Japan

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