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1 International Journal of Applied Mechanics and Engineering

1 2008

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Effect of surface roughness on the performance of hydromagnetic squeeze film between conducting porous infinitely long rectangular plates

Vadher P. A., Deheri G. M., Patel R. M.

International Journal of Applied Mechanics and Engineering

2008

Vol. 13, no 2

473-498

An attempt has been made to study and analyze the performance of a hydromagnetic squeeze film between conducting porous rough infinitely long rectangular plates with electrically conducting lubricant in the presence of a transverse magnetic field. The bearing surfaces are assumed to be transversely rough. The random roughness is characterized by a stochastic random variable with non zero mean, variance and skewness. The associated Reynolds' equation is then stochastically averaged with respect to the random roughness parameter. This equation is solved with appropriate boundary conditions to find the pressure distribution, which is then used to obtain the load carrying capacity. Lastly, the response time is calculated. The results are presented graphically as well as in a tabular form. It is seen that the bearing system gets affected adversely owing to transverse surface roughness. But variance (-ve) tends to increase the load carrying capacity. Also, the bearing system resists an enhanced performance due to hydromagnetization. In addition, the load carrying capacity increases considerably due to conductivity while it decreases with respect to the aspect ratio The combined effect of porosity, the aspect ratio and the standard deviation associated with roughness is substantially adverse. However, this negative effect can be compensated to some extent by hydromagnetization and conductivity in the case of negatively skewed roughness. It is also observed that the bearing with magnetic field can support a load even when there is absence of flow. This investigation makes it plain and clear that roughness must be given due consideration while designing the bearing system.