Slip Velocity and Roughness Effect on Magnetic Fluid-Based Infinitely Long Bearings

Efforts have been made to analyze the performance of a magnetic fluid based infinitely long rough bearing with slip velocity. The magnitude of the magnetic field is taken to be an unusual one. It is known that in this type of bearing system the standard deviation affects the system most as compared to the other two roughness parameters. Therefore the effect of standard deviation remains in focus. Christensen and Tonder's model has been adopted for stochastically averaging the Reynolds' type equation. The solution of this second order non linear partial differential equation gives rise to the expression for pressure distribution leading to the calculation of load carrying capacity. Further, friction is calculated at both the plates. The computed results presented in graphical forms reveal that while the magnetization has a strong positive effect, the combined effect of the slip parameter and the standard deviation is significantly adverse. However, this investigation says that keeping the slip coefficient at minimum, the magnetization may compensate the adverse effect of the standard deviation. In addition, this article offers an additional degree of freedom through the form of the magnitude of the magnetic field for designing the bearing system.