Discover
/
Article

Fascinating polymeric liquids

JAN 01, 1984
Theory and experiment are beginning to tell us why the motion of liquids containing very large molecules is often just the opposite of what we would expect from our experience with normal fluids.

DOI: 10.1063/1.2916043

R. Byron Bird
Charles F. Curtiss

Fluid dynamics is an old subject. In 1687, Isaac Newton wrote a simple equation defining the viscosity of a fluid as the coefficient of proportionality between the shear stress and the velocity gradient. Newton’s equation does well at describing gases and liquids made up of “light” molecules—those of molecular weight less than about 1000. By the middle of the last century the mathematical description of the flow of such “Newtonian” fluids was well established. This description is based on use of the laws of conservation of mass and momentum.

References

  1. 1. J. O. Hirschfelder, C. F. Curtiss, R. B. Bird, Molecular Theory of Gases and Liquids, Wiley, New York (1954).

  2. 2. R. B. Bird, W. E. Stewart, E. N. Lightfoot, Transport Phenomena, Wiley, New York (1960).

  3. 3. R. B. Bird, R. C. Armstrong, O. Hassager, Dynamics of Polymeric Liquids, Vol. 1, Fluid Mechanics, Wiley, New York (1977).

  4. 4. R. B. Bird, O. Hassager, R. C. Armstrong, C. F. Curtiss, Dynamics of Polymeric Liquids, Vol. 2, Kinetic Theory, Wiley, New York (1977).

  5. 5. A. S. Lodge, Elastic Liquids, Academic, New York (1964);
    Body Tensor Fields in Continuum Mechanics, Academic, New York (1974).

  6. 6. H. Janeschitz‐Kriegl, Polymer Melt Rheology and Flow Birefringence, Springer‐Verlag, New York (1983).

  7. 7. J. Walker, Scientific American 243, 186 (1978).https://doi.org/SCAMAC

  8. 8. K. Walters, Rheometry, Chapman and Hall, London (1975).

  9. 9. J. D. Ferry, Viscoelastic Properties of Polymers, third edition, Wiley, New York (1980).

  10. 10. P. J. Flory, Statistical Mechanics of Chain Molecules, Interscience (Wiley), New York (1969).

  11. 11. M. C. Williams, Am. Inst. Chem. Eng. Journal 21, 1 (1975).

  12. 12. J. G. Kirkwood, Macromolecules, Gordon and Breach, New York (1967).

  13. 13. H. A. Kramers, Physica 11, 1 (1944).

  14. 14. J. J. Hermans, ed., Polymer Solution Properties, Dowden, Hutchinson, and Ross, Stroudsburg, Penna. (1978).

  15. 15. H. Yamakawa, Modern Theory of Polymer Solutions, Harper and Row, New York (1971).

  16. 16. C. F. Curtiss, R. B. Bird, O. Hassager, Adv. Chem. Phys. 35, 31 (1976).https://doi.org/ADCPAA

  17. 17. H. Giesekus, Rheol. Acta 5, 29 (1966); https://doi.org/RHEAAK
    H. Giesekus, J. Non‐Newtonian Fl. Mech. 11, 69 (1982).

  18. 18. C. F. Curtiss, R. B. Bird, J. Chem. Phys. 74, 2016, 2026 (1981); https://doi.org/JCPSA6
    R. B. Bird, H. H. Saab, C. F. Curtiss, J. Phys. Chem. 86, 1102 (1982); https://doi.org/JPCHAX
    R. B. Bird, H. H. Saab, C. F. Curtiss, J. Chem. Phys. 77, 4747 (1982); https://doi.org/JCPSA6
    H. H. Saab, R. B. Bird, C. F. Curtiss, J. Chem. Phys. 77, 4758 (1982); https://doi.org/JCPSA6
    C. F. Curtiss, R. B. Bird, Physica 118A, 191 (1983).

  19. 19. P.‐G. de Gennes, J. Chem. Phys. 55, 572 (1971); https://doi.org/JCPSA6
    PHYSICS TODAY, June 1983, page 33.

  20. 20. A. S. Lodge, R. C. Armstrong, M. H. Wagner, H. H. Winter, Pure Appl. Chem. 54, 1349 (1983).https://doi.org/PACHAS

  21. 21. M. Doi, S. F. Edwards, J. Chem. Soc. Faraday Trans. II 74, 1789, 1802 (1978); https://doi.org/JCFTBS
    M. Doi, S. F. Edwards, 75, 38 (1979).

  22. 22. M. Crochet, K. Walters, Annu. Rev. Fluid Mech. 15, 241 (1983).https://doi.org/ARVFA3

  23. 23. J. D. Huppler, E. Ashare, L. A. Holmes, Trans. Soc. Rheol. 11, 159 (1967).https://doi.org/TSRHAZ

More about the Authors

R. Byron Bird. University of Wisconsin, Madison.

Charles F. Curtiss. University of Wisconsin, Madison.

This Content Appeared In
pt-cover_1984_01.jpeg

Volume 37, Number 1

Related content
/
Article
Professional societies can foster a sense of belonging and offer early-career scientists opportunities to give back to their community.
/
Article
Research exchanges between US and Soviet scientists during the second half of the 20th century may be instructive for navigating today’s debates on scientific collaboration.
/
Article
The Eisenhower administration dismissed the director of the National Bureau of Standards in 1953. Suspecting political interference with the agency’s research, scientists fought back—and won.
/
Article
Alternative undergraduate physics courses expand access to students and address socioeconomic barriers that prevent many of them from entering physics and engineering fields. The courses also help all students develop quantitative skills.
/
Article
Defying the often-perceived incompatibility between the two subjects, some physicists are using poetry to communicate science and to explore the human side of their work.
/
Article
Positron emission tomography’s ability to image the body’s biochemistry, not just its anatomy, makes it a powerful tool for detecting diseases.

Get PT in your inbox

Physics Today - The Week in Physics

The Week in Physics" is likely a reference to the regular updates or summaries of new physics research, such as those found in publications like Physics Today from AIP Publishing or on news aggregators like Phys.org.

Physics Today - Table of Contents
Physics Today - Whitepapers & Webinars
By signing up you agree to allow AIP to send you email newsletters. You further agree to our privacy policy and terms of service.