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Ferrofluid lubrication of an infinitely long rough porous journal bearing
aDepartment of Mathematics, Sardar Patel University, V.V.Nagar, Gujarat, India
bDepartment of Mathematics, Sardar Patel University, V.V. Nagar, Gujarat, India

emailndpatel2002@gmail.com
Keywords: Jenkins model; eccentricity; material constant; load; roughness; porosity
Abstract
This paper analyzes the performance of a squeeze film in an infinitely long rough journal bearing using the ferrofluid flow model of Jenkins. A random variable with non-zero mean, variance and skewness characterizes the random roughness of the bearing surfaces. The associated stochastically averaged Reynolds type equation is solved with suitable boundary conditions to obtain the expression for pressure distribution resulting in the calculation of load carrying capacity. It is shown that the eccentricity increases the load carrying capacity in spite of the fact that the bearing suffers owing to transverse surface roughness in general. It is observed that the Jenkins material constant decreases the load carrying capacity while the negatively skewed roughness increases the load carrying capacity. The bearing system registers a comparatively enhanced performance in the case of non-uniform magnetic field than in the case of a uniform magnetic field. It is interesting to note that the negative effect of porosity and the Jenkins material constant can be compensated up to some extent in the case of negatively skewed roughness. This compensation becomes more manifest when large negative values of variance are involved.
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