Summary
A new, generalized type of the rate-of-strain-dependent memory function of viscoelastic fluids has been proposed and embodied into a simple-integral model. The model is applied to the case of a simple shear flow during which a step in the shear rate occurs, and the prediction of the shear stress and of the normal stress differences is calculated from the model. It has been shown that the model unifies a number of previous models of a similar form, the predictions of the special models being recovered simply by the appropriate choice of so called generating functions of the generalized model.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ward, A. F. H., andG. M. Jenkins, Rheol. Acta1, 110 (1958).
Lodge, A. S., private communication to Prof.R. B. Bird, seeSpriggs, T. W., J. D. Huppler, andR. B. Bird, Trans. Soc. Rheol.10, 191 (1966).
Bird, R. B. andP. J. Carreau, Chem. Eng. Sci.23, 427 (1968).
Carreau, P. J., I. F. Macdonald, andR. B. Bird, Chem. Eng. Sci.23, 901 (1968).
Meister, B. J., Trans. Soc. Rheol.15, 63 (1971).
Carreau, P. J., Trans. Soc. Rheol.16, 99 (1972).
David, J., Rheol. Acta8, 311 (1969).
Chen, I-Jen, Ph. D. Dissertation, University of Tennessee, Knoxville (1971).
Chen, I-Jen andD. C. Bogue, Trans. Soc. Rheol.16, 59 (1972).
Bogue, D. C. andJ. L. White, Engineering Analysis of Non-Newtonian Fluids, Agardograph 144 (1970). Available through National Technical Information Service, Springfield, Virginia, Document No. AD-710–324.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
David, J. On simple-integral viscoelastic-fluid models with the rate-of-strain-dependent memory function. Rheol Acta 11, 333–340 (1972). https://doi.org/10.1007/BF01974777
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01974777