Abstract
The equations of rotational motion of nondeformable spherical and axisymmetric elongated particles and a rheologic equation for stresses in arbitrary gradient flows of dilute suspensions of such particles in an anisotropic carrying fluid are obtained within the framework of a structural-phenomenological approach. As a rheologic model of the suspension-carrying fluid and a hydrodynamic model of the suspended particles, we use the Ericksen simple anisotropic fluid and a symmetric triaxial dumbbell, respectively. The constitutive equations obtained are used to study the effect of anisotropy of the carrying fluid on the dynamics of suspended particles and on the rheologic properties of suspensions in a simple shear flow. A stationary orientation of the elongated suspended particles under the action of hydrodynamic forces is discovered. The possibility of applying this phenomenon to the formation of composite materials is discussed.
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References
J. L. Ericksen, “Transversely isotropic fluids,” Kolloid Z., 73, No. 2, 117-122 (1960).
Yu. V. Pridatchenko and E. Yu. Taran, “Hydrodynamic and rheologic models of a dilute suspension of rigid ellipsoidal particles in non-Newtonian fluids,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 3, 59-61 (1988).
V. S. Volkov and G. V. Vinogradov, “Molecular theories of nonlinear viscoelasticity of polymers,” Rheol. Acta, 23, No. 3, 231-237 (1984).
Yu. I. Shmakov and E. Yu. Taran, “Structural-continual approach in the rheology of polymer materials,” Inzh.-Fiz. Zh., 8, No. 6, 1019-1024 (1970).
E. Yu. Taran, “Rheological constitutive equation for dilute suspensions of rigid dumbbells with beads at the ends,” Prikl. Mekh., 3, No. 4, 110-115 (1977).
E. Yu. Taran, Yu. V. Pridatchenko, and V. S. Volkov, “Mechanics of suspensions of rigid uniaxial dumbbells in an anisotropic fluid,” Prikl. Mekh. Tekhn. Fiz., 35, No. 4, 99-107 (1994).
A. Einstein, “Eine neue Bestimmung der Molekuldimensionen,” Ann. Physik, 19, 289-306 (1906).
G. B. Jeffery, “The motion of ellipsoidal particles immersed in a viscous fluid,” Proc. Roy. Soc., A102, No. 715, 161-179 (1922).
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Taran, E.Y., Pridatchenko, Y.V. & Gryaznova, V.A. Features of the Formation of Composite Materials in Anisotropic Liquid Systems with Elongated Suspended Particles. Mechanics of Composite Materials 37, 251–256 (2001). https://doi.org/10.1023/A:1010698719203
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DOI: https://doi.org/10.1023/A:1010698719203