Study of Longitudinal Roughness on Hydromagnetic Squeeze Film Between Conducting Rotating Circular Plates

Abstract

This investigation addresses the problem of squeeze film with electrical conduction between longitudinally rough surfaces and electrical lubricant in the existence of a transverse magnetic field for rotating circular plates. The surfaces are taken to be longitudinally rough in nature. In view of Christensen and Tonder’s stochastic averaging method, the arbitrary irregularity of the bearing surfaces is modeled by a stochastic arbitrary inconstant with non-zero variance, skewness, and mean. The Reynolds’ type equation for the distribution of pressure is stochastically averaged with regards to the arbitrary roughness constraint. A solution for SF pressure is obtained by using suitable Reynolds’ type BC, which is further used to calculate the LBC. Based on the results obtained, the bearing is generally suffering due to longitudinal roughness. On the whole, the hydromagnetic effect characterized by the Hartmann number produces an increase in LCC as compared to the classical NL case. However, in the case of (−ve) roughness (skewed) in particular, the condition can be retrieved to some extent when (−ve) variance occurs by selecting the appropriate plate conductivity and standard deviation.