Journal bearing with non-Newtonian fluid in the area of Taylor vortices

The constitutive relation for tension tensor of a non-Newtonian liquid is defined in the first part of the article. The solution will focus on identifying the interaction of the fluid with the rotating shaft. Journal bearing theory is well developed for Newtonian fluid and outside the area of Taylor vortices. In this work, the matrices of mass M, stiffness K and damping B will be determined outside and in the region of Taylor vortices. It turns out that the bearing properties can significantly differ in the area of Taylor vortices, where the M, B, K matrices are different from the area outside of Taylor vortices. However, the greatest importance of this work lies in the computational modelling of the flow of non-Newtonian liquid in the region of Taylor vortices and comparison with the results of the solution outside of this area. The solution will also be used for modelling of ferromagnetic and magnetorheological fluids, where their viscosity significantly changes depending on the value of the magnetic induction. Matrices M, K, B will therefore include the dependence on magnetic induction. Controlling the value of magnetic induction can significantly affect the dynamics of the pump rotors and water turbines.