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Magnetic Fluid-Based Squeeze Film Behaviour in Curved Porous-Rotating Rough Annular Plates and Elastic Deformation Effect

DOI: 10.1155/2012/148281

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Abstract:

Efforts have been directed to study and analyze the squeeze film performance between rotating transversely rough curved porous annular plates in the presence of a magnetic fluid lubricant considering the effect of elastic deformation. A stochastic random variable with nonzero mean, variance, and skewness characterizes the random roughness of the bearing surfaces. With the aid of suitable boundary conditions, the associated stochastically averaged Reynolds' equation is solved to obtain the pressure distribution in turn, which results in the calculation of the load-carrying capacity. The graphical representations establish that the transverse roughness, in general, adversely affects the performance characteristics. However, the magnetization registers a relatively improved performance. It is found that the deformation causes reduced load-carrying capacity which gets further decreased by the porosity. This investigation tends to indicate that the adverse effect of porosity, standard deviation and deformation can be compensated to certain extent by the positive effect of the magnetic fluid lubricant in the case of negatively skewed roughness by choosing the rotational inertia and the aspect ratio, especially for suitable ratio of curvature parameters. 1. Introduction It was Archibald [1] who presented the behaviour of squeeze films between various geometrical configurations for the flat surfaces. Wu [2] analyzed the performance of the squeeze film for rotating porous annular disks. Prakash and Vij [3] made use of the well-known Morgan Cameron approximation assuming the porous facing small. Murti [4] investigated the squeeze film performance in curved circular plates describing the film thickness by an exponential expression. His analysis was based on the assumption that the central film thickness was constant instead of minimum film thickness as considered by Hays [5]. Gupta and Vora [6] extended this analysis to the corresponding problem for annular plates. Patel and Deheri [7] studied the behavior of squeeze film between curved circular plates considering the film thickness described by a hyperbolic expression. All the above studies dealt with conventional lubricants. The use of magnetic fluid as a lubricant modifying the performance of the bearing system has drawn considerable attention. Agrawal [8] investigated the performance of a porous-inclined slider bearing with a magnetic fluid lubricant. Verma [9] discussed squeeze film performance in the presence of a magnetic fluid lubricant. Bhat and Deheri [10] analyzed the squeeze film behaviour taking

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