The Effect of Surface Roughness on the Performance of Hydromagnetic Squeeze Films between Two Conducting Rough Porous Elliptical Plates

Authors: PRAGNA A. VADHER, GUNAMANI DEHERI, RAKESH M. PATEL

Abstract: The present study analyzed the performance of hydromagnetic squeeze films between 2 conducting rough porous elliptical plates. The bearing surfaces were assumed to be transversely rough. The roughness of the bearing surfaces was characterized by a stochastic random variable with non-zero mean, variance, and skewness. The associated Reynolds equation was stochastically averaged with respect to the random roughness parameter. This equation was then solved with appropriate boundary conditions to obtain the bearing performance characteristics, such as load carrying capacity and response time. The results are presented graphically. It was observed that the transverse surface roughness adversely affected the bearing system and that the bearing suffered due to transverse surface roughness. The results show that hydromagnetic lubrication significantly increased the load carrying capacity. With this type of bearing system porosity effects were almost negligible, up to a certain porosity. Additionally, the load carrying capacity increased due to the negatively skewed roughness and conductivity of the plates. Furthermore, the negative effect induced by the porosity, standard deviation, and variance (+ve) were compensated for, to a considerable extent, by the combined effect of conductivity and magnetization in the case of negatively skewed roughness. Results of the present study suggest that roughness must be given due consideration while designing such bearing systems.

Keywords: Squeeze film, Hydromagnetic lubrication, Reynolds equation, Roughness, Load carrying capacity

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