MICROPOLAR FLUIDS WITH STRETCH.
PRINCETON UNIV N J DEPT OF AEROSPACE AND MECHANICAL SCIENCES
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Equations of motion, constitutive equations, and boundary conditions are derived for a class of micropolar fluids which can stretch or contract. These fluids respond to intrinsic rotational motions and spin inertia and therefore can support couple stress and body couples. In addition, microelements of such fluids can stretch or contract so that intrinsic extensional motions are possible. It is conjectured that the model constructed will have applications in liquid crystals, fluids with polymeric additives, and turbulent motions of Newtonian fluids. Thermodynamical restrictions are studied in detail, and field equations are obtained for the density, microinertia, velocity vector, microrotation vector, and the microstretch. Author
- Fluid Mechanics