ABSTRACT

We consider the following system which is a mathematical model of stastionary flow of viscous micropolar fluids, which describes the motion of solid particle suspension in a liquid:

where υ is the usual kinematic Newtonian viscosity, υ γ is the dynamic microrotation viscosity, c 0 , c a , c d are new viscosities connected with asymmetricity of the stress tensor, called coefficients of angular viscosities, u is the velocity vector, p the pressure, ω is the angular velocity of rotation of the particules of the fluid, I is a scalar called the microinertia coefficient.