This article aims to analyze the performance of a magnetic-fluid-based porous rough step bearing considering slip velocity. The Neuringer-Rosensweig model governs the fluid flow while the velocity slip is modeled by the method of Beavers and Joseph. The bearing surfaces are assumed transversely rough and the transverse surface roughness of the bearing surfaces is characterized by a stochastic random variable with non-zero mean, variance, and skewness. With the usual assumptions of hydrodynamic lubrication, the related stochastically averaged Reynolds' equation for the fluid pressure is solved with appropriate boundary conditions, which is then used to calculate the loadcarrying capacity. It is found that although the bearing suffers owing to transverse surface roughness, the performance of the bearing system can be improved to some extent by the positive effect of magnetization, considering the slip parameter at the minimum; at least in the case of negatively skewed roughness. A comparison of this paper with some established investigations indicates that here, the reduction of loadcarrying capacity due to porosity and slip velocity is comparatively less, especially, when negative variance occurs. In augmenting the performance of the bearing system, the step ratio plays a central role, even if the slip parameter is at the minimum.

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This article aims to study the influence of slip on a hydromagnetic squeeze film in transversely rough porous narrow journal bearing. The Neuringer-Rosensweig model governs the fluid flow. The slip model of the Beavers and Joseph has been used. The stochastic modeling of Christensen and Tonder has been adopted for calculating the effect of transverse surface roughness. The pressure distribution is obtained by solving the concerned stochastically averaged Reynolds type equation. It is observed that the adverse effect of roughness gets compounded due to slip effect. Equally is the crucial role of eccentricity for the performance of a bearing system. The results confirm that slip has to be at minimum for any improvement in the performance. Besides, the absence of flow does not deter the system from supporting a good amount of load which does not happen in the case of a traditional lubricant.

The focus of this paper is to propose an innovative mathematical model, which describes the influence of slip and transverse roughness on a hydromagnetic squeeze film in porous tilted pad bearing. The stochastic model of Christensen and Tonder is, applied to evaluate the effect of surface roughness. Beavers and Joseph slip model takes the care of slip effect. Applying these models which governing the fluid pressure; is solved for the calculation of load support. The closed form solution is, obtained for the pressure and load capacity as a function of various physical parameters. The effect of such parameters is, discussed through graphical representations. The computations indicate that slip has to be at minimum for any upgrading in the bearing design. Besides, the absence of flow fails to keep away the bearing from supporting good amount of load, which does not happen in the case of traditional lubricant.

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