A mathematical model describing the flow field and velocity distribution between rotational friction pairs has been proposed based on viscosity-temperature properties and centrifugal force of working oil. The effect of inlet pressure, rotation speed and inertia on the flow are theoretically analysed. It is found that inlet pressure has a linear effect on the radial direction and the flow flied is the Poiseuille flow. However, inertia makes the flow more complex to conserve the continuity. With the effect of inertia, the velocity is negative at entrance and positive at exit. Relative to inertia and inlet pressure, the rotate speed is supreme dominate the flow field. And also, the variety of viscosity has a great effect on the radial velocity. The proposed model may provide technical support for the design of Hydro-viscous drive systems.
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