Behaviour of hydromagnetic squeeze films between two conducting rough porous circular plates

Abstract

In this paper, the problem of squeeze films between electrically conducting rough porous surfaces and electrically conducting lubricant in the presence of transverse magnetic field is investigated for circular shape of the bearing surfaces. The bearing surfaces are assumed to be transversely rough. The roughness of the bearing surface is modelled by a stochastic random variable with non-zero mean, variance, and skewness. The associated Reynolds equation is stochastically averaged with respect to the random roughness parameter. Then, it is solved with appropriate boundary conditions to get the pressure distribution, which is further used to obtain the load carrying capacity leading to the calculation of response time. The results are presented graphically. It is noticed that the bearing suffers on account of transverse surface roughness in general. However, the situation can be retrieved up to a certain extent in the case of negatively skewed roughness especially, when negative variance occurs by suitable choice of plate conductivities. In addition, it is observed that the bearing with magnetic field can support a load even when there is no flow.