Modified Reynolds Equation for Different Types of Finite Plates with the Combined Effect of MHD and Couple Stresses

Abstract

We make an effort to analyze the behavior of squeeze film characteristics of different finite plates with couple stress fluid in the presence of a transverse magnetic field. On the basis of the Stokes couple stress fluid model and hydromagnetic flow model, a modified Reynold's equation is derived, which is solved by using appropriate boundary conditions to obtain squeeze film pressure, load-carrying capacity, and squeeze film time. The graphical representation of the results suggests that the different bearing systems register an enhanced performance with couple stresses compared to that of a bearing system working with a conventional lubricant in the presence of a transverse magnetic field. It is observed that the effect of applied magnetic field on the squeeze film lubrication between different finite plates with conducting couple stress fluids is to increase the load-carrying capacity significantly and to delay the time of approach compared to the corresponding nonconducting Newtonian case. It is seen that for all of the finite plates of different shapes, the circular shape gives the maximum load and time.

Effect of Magnetohydrodynamic Couple Stresses on Dynamic Characteristics of Exponential Slider Bearing

“…The combined effects of couple stress and MHD on bearing characteristics are studied by Das [13], circular stepped plates by Naduvinamani et al [14] and different types of finite plates by Fathima et al [15]. The results obtained in these studies showed an increase in load carrying capacity of bearings as the strength of applied magnetic field increases and also with increase in the value of couple stress parameter.…”

The Performance of Squeeze Film between Parallel Triangular Plates with a Ferro-Fluid Couple Stress Lubricant

“…is is the derivation of Fathima et al [18] when neglecting the MHD effects(the Hartmann number tends to zero).…”

Effect of geometric shape of micro-grooves on the performance of textured hybrid thrust pad bearing

“…at high speed and external load. During the last few decades, the application of electrically conducting lubricant has received considerable attention in different classes of fluid bearings such as hydrostatic/hybrid thrust pad bearings [2,[26][27][28], slider bearings [29][30][31] and squeeze film bearings [32,33]. In the beginning, theoretical studies were carried out by Elco and Hughes [26], examining the use of liquid metals as electrically conducting lubricant in circular step and one-dimensional inclined slider bearings.…”