This paper presents a micropolar fluid model that direct applies Cosserat’s continuum to hydrodynamics. The corresponding system of equations describing isotropic micropolar fluid is obtained by assuming lack of symmetry of the Cauchy stress tensor and taking into account the conservation of angular momentum. This turns out to be an extension of the Navier- Stokes fluid but containing turbulent effect built in.

This paper presents a micropolar fluid model that direct applies Cosserat’s continuum to hydrodynamics. The corresponding system of equations describing isotropic micropolar fluid is obtained by assuming lack of symmetry of the Cauchy stress tensor and taking into account the conservation of angular momentum. This turns out to be an extension of the Navier- Stokes fluid but containing turbulent effect built in.