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Modeling anisotropic fluids within the framework of bodies with multiple natural configurations. (English) Zbl 1028.76002

From the summary: We present an approach to the modeling of anisotropic fluids, which is not a director theory; no balance laws for directors are posed nor there is a notion of a director body force, director (or Cosserat) stress or director kinetic energy. Thus, the present approach does not require specifying any additional boundary conditions other than that usually specified for viscous fluids, even for flows that involve spatially inhomogeneous fields. Moreover, the framework is based on sound thermodynamical footing, the evolution of the natural configurations being determined by the rate of dissipation of the material. To delineate the efficacy of the theory, we solve a problem associated with a shearing flow in which we discuss the tumbling and alignment of certain vectors that represent the axes of anisotropy of the fluid, and which may be associated with rod-like structures in the fluid.

MSC:

76A05 Non-Newtonian fluids
82D15 Statistical mechanics of liquids
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