| Abstract: | Interest in the hydrodynamics of a liquid with particle rotations and microdeformations has recently intensified 1–9] in connection with the technical applications of different artificially synthesized structured media. A model of a liquid with deformable microstructure was first proposed in 4] and was thermodynamically analyzed in 6], in which a model of a liquid was constructed by means of methods from the thermodynamics of irreversible processes. A model of a macro- and microincompressible liquid with particle rotations and deformations has been proposed 7, 8] based on constitutive equations from 6]. Below we will solve the sphere rotation problem in an infinite liquid given different boundary conditions on the rates of particle rotation and microdeformation within the context of the system of equations presented in 7]. The solution of an analogous problem for a micropolar liquid simulating a suspension with solid particles has been obtained 9] and the solution for a viscous liquid was found by Stokes in 10].Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnieheskoi Fiziki, No. 1, pp. 79–87, January–February, 1976. |
