A Study of Load Capacity of Finite Slider Bearings with Slip Surfaces and Stokesian Couple Stress Fluids

Abstract

A mathematical model for the hydrodynamic lubrication of finite slider bearings with velocity slip and couple stress lubricants is presented. A numerical solution for the mathematical model using finite element scheme is obtained using four node linearly interpolated quadrilateral elements. Stiffness integrals obtained from the weak form of the governing equations were solved using Gauss Quadrature to obtain a finite number of stiffness matrices. The global system of equations was obtained for the bearing and solved using Gauss Seidel iterative scheme. The converged pressure solution was used to obtain the load capacity of the bearing. Numerical experiments reveal the existence of an optimum velocity slip for which maximum benefit is obtained for the slider bearing in terms of bearing load. Increase in the slip parameter beyond this optimum value was shown not to augment the bearing load. Computations put forth also affirm that the bearing load is augmented with increase in couple stress parameter. An optimal film thickness ratio was also obtained for which load capacity is maximized with or without the application of slip to the bearing surfaces.

Viscosity Variation Effect on the Magnetic Fluid Lubrication of a Short Bearing

“…The use of slider bearing has been proved to be very useful from the industry point of view for many decades. This has been documented in the literature (Agrawal (1986), Lin (2001), Deheri et al (2005), Ahmad and Singh (2007), Oladeinde and Akpobi (2010), Deheri and Patel (2011), Deheri (2013, 2015)). The basic phenomenon associated with hydrodynamic slider bearing is the formation of a converging wedge of the lubricant.…”

“…From equation 13, one can notice that the load carrying capacity enhances by 0.98254 μ * L ̅ B ̅ due to the magnetic fluid lubrication as compared to conventional fluid based bearing system. Eventually, as found, this is much more than the case of constant viscosity (Agrawal (1986), Lin (2001), Ahmad and Singh (2007), Oladeinde and Akpobi (2010), Deheri and Patel (2011), Patel and Deheri (2015)) One can find the graphical representations of load bearing capacity of the short bearing in Fig. 2-11.…”

Effect of sinusoidal magnetic field on a rough porous hyperbolic slider bearing with ferrofluid lubrication and slip velocity

“…With the help of equations ( 1) and ( 2) and the following dimensionless variable and parameters Equation ( 6) becomes where and The corresponding boundary conditions are Solving equation (7) with boundary conditions (9), the nondimensional pressure distribution is obtained as (5)…”

The Combined Effect of Magnetic Fluids With Couple Stresses, Variable Viscosity and Velocity-Slip on the Lubrication of Finite Journal Bearings

“…Rao and Prasad [15] studied the effect of velocity-slip and viscosity variation on journal bearings and found that the load carrying capacity of the bearing was less when slip was present also, friction decreased with viscosity. Oladeinde and Akpobi [16] investigated the load capacity of slider bearings with slip surfaces and couple-stress fluids. The finite element method was used and it was concluded that the couple-stress parameter causes an increase in the load capacity and to achieve maximum load the slip-velocity must attain some minimum value.…”