Conclusions
An asymmetric, triaxial dumbbell in a gradient flow displays the behavior characteristic of axisymmetric dispersed particles without a central symmetry. This suggests that we can use it as the hydrodynamic model of such particles and utilize its equations of motion (3) and (4) in writing the rheological equation of state of dilute suspensions (9). The asymmetry of dispersed particles leads to an increase in the effective viscosity of such suspensions in a simple shear flow.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature Cited
V. N. Tsvetkov, V. E. Eskin, and S. Ya. Frenkel', Structure of Macromolecules in Solutions [in Russian], Moscow (1964).
A. Einstein, Ann. Physik,19, 289–306 (1906).
A. Einstein, Ann. Physik,34, 591–592 (1911).
G. B. Jeffery, Proc. R. Soc.,A102, No. 715, 161–179 (1922).
F. P. Bretherton, J. Fluid Mech.,14, No. 2, 234–304 (1962).
Yu. V. Pridatchenko and E. yu. Taran, Dokl. Akad. Nauk USSR, Ser. A, No. 10, 59–62 (1988).
H. Brenner, Chem. Eng. Sci.,19, No. 9, 631–651 (1964).
C. E. Chaffey, M. Takano, and S. G. Mason, Can. J. Physics,43, No. 7, 1269–1287 (1965).
J. Happel and H. Brenner, Hydrodynamics at Small Reynolds Numbers [Russian translation], Moscow (1976).
Yu. I. Shmakov and E. Yu. Taran, Inzh.-fiz. Zh.,18, No. 6, 1019–1024 (1970).
S. G. Mason and R. St. J. Manley, Proc. R. Soc.,A238, No. 1212, 117–131 (1956).
A. Peterlin, Z. Phys.,111, 232–263 (1938).
Additional information
T. G. Shevchenko Kiev State University. Translated from Inzhenerno-fizicheskii Zhurnal, Vol. 62, No. 1, pp. 57–65, January, 1992.
Rights and permissions
About this article
Cite this article
Taran, E.Y., Pridatchenko, Y.V. Rheological behavior of dilute suspensions of rigid axisymmetric particles. J Eng Phys Thermophys 62, 44–51 (1992). https://doi.org/10.1007/BF00861338
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00861338