Bearing is one of the most commonly used tools in the industry that the distance between the two cylinders is filled with a fluid. Given the possibility of oil pollution, the emission behavior of mass and momentum transfer within the fluid appears to be necessary. In this paper, the coaxial cylinders with rotating inner cylinder and a non-Newtonian fluid is simulated. Differential equations of mass and momentum transfer with simple problem situation are introduced and the boundary conditions for solving these equations are obtained. The results showed that there was insignificant radial velocity. Even if there was an appendage of the outer cylinder, the change of radial velocity was very low, but, it did not affect diffusion. Also, variations of the Reynolds number, the radial velocity and diffusion as well as concentration are studied.

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