Abstract
Analytical expressions for the rheological properties of dilute polymer solutions at low deformation rates are established through the computation and analysis of exact Zimm's eigenvalues. These expressions include only measurable molecular parameters without the need for adjustable model parameters. In all the expressions the polydispersity of the molecular weight is considered. The theoretical predictions show good agreement with published experimental results.
Similar content being viewed by others
References
Rouse, P. E. Jr., J. Chem. Phys.21, 1272 (1953).
Zimm, B. H., J. Chem. Phys.24, 269 (1956).
Lodge, A. S., Y. J. Wu, Rheol. Acta10, 539 (1971).
Hsü, Y. T., P. Schümmer in: G. Astarita, G. Marrucci, L. Nicolais (eds.), Rheology, Proc. VIII Int. Congr. Rheology, Naples, Vol.2, pp. 327, Plenum Press (New York 1980).
Thurston, G. B., J. D. Morrison, Polymer10, 421 (1969).
Hsü, Y. T., Dissertation, Rhein.-Westf. Techn. Hochschule Aachen (1981).
Thurston, G. B., Polymer15, 569 (1974).
Lodge, A. S., Y. J. Wu, RRC Report 16, Rheology Research Center, Univ. Wisconsin (Madison 1972).
Ferry, J. D., Viscoelastic Properties of Polymers, 2. ed., Wiley (New York 1970).
Brandrup, T., E. H. Immergut, Polymer Handbook, 2. ed., Interscience (New York 1975).
Kirkwood, J. G., J. Riseman, J. Chem. Phys.16, 565 (1948).
Orofino, T. A., J. W. Mickey, Jr., J. Chem. Phys.38, 2513 (1963).
Outer, P., C. I. Carr, B. H. Zimm, J. Chem. Phys.18, 830 (1950).
Notley, N. T., P. J. W. Debye, J. Polym. Sci.17, 99 (1955).
Wada, E., K. Okeno, Rept. Prog. Polymer Phys., Japan7, 19 (1964).
van Krevelen, D. W., The Properties of Polymers, 2. ed., Elsevier Sci. Publ. Co. (Amsterdam 1976).
Berry, J. C., J. Chem. Phys.44, 4550 (1966).
Berry, J. C., J. Chem. Phys.46, 1338 (1967).
Berry, J. C., L. M. Hobbs, V. C. Long, Polymer5, 31 (1964).
Wada, E., K. Okeno, Rept. Prog. Polymer Phys., Japan6, 1 (1963).
Schultz, A. R., J. Am. Chem. Soc.76, 3422 (1954).
Tschoegl, N. W., J. Chem. Phys.40, 473 (1964).
Osaki, K., Macromolecules5, 141 (1972).
Williams, M. C., AIChE J.21, 1 (1975).
Osaki, K., J. L. Schrag, J. D. Ferry, Macromolecules5, 144 (1972).
Osaki, K., Y. Mitsuda, R. M. Johnson, J. L. Schrag, J. D. Ferry, Macromolecules5, 17 (1972).
Johnson, R. M., J. L. Schrag, J. D. Ferry, Polymer J.1, 742 (1972).
Peterlin, A., Kolloid-Z.209, 181 (1966).
Hsü, Y. T., P. Schümmer, Rheol. Acta21, 511 (1982); H. Giesekus, K. Kirschke, J. Schurz (eds.), Progress and Trends in Rheology, pp. 157, Steinkopff (Darmstadt 1982).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hsü, Y.T., Schümmer, P. Quantitative description of rheological properties of dilute polymer solutions I. The prediction of rheological behavior at low deformation rates using the Rouse-Zimm model. Rheol Acta 22, 12–26 (1983). https://doi.org/10.1007/BF01679825
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01679825