Neuringer-Roseinweig Model Based Longitudinally Rough Porous Circular Stepped Plates in the Existence of Couple Stress

Abstract

This study intents to scrutinize the impact of ferrofluid in the presence of couple stress for longitudinally rough porous circular stepped plates. The influence of longitudinal surface roughness is developed using the stochastic model of Christensen and Tonder for nonzero mean, variance and skewness. Neuringer-Roseinweig model is adopted for the influence of ferrofluid. The couple stress effect is characterized by Stoke’s micro continuum theory. The modified Reynolds’ type equation is stochastically averaged and solved by no-slip boundary conditions. The closed form solutions for load bearing capacity and film pressure are obtained as a function of different parameters and plotted graphically. It is perceived that the load capacity gets elevated owing to the combined influence of magnetization and couple stress when the proper choice of roughness parameters (negatively skewed, standard deviation) is in place. Porosity and roughness (positively skewed) adversely affect bearing’s performance. The graphical and tabular analysis shows that there is a significant growth in load bearing capacity compared to the conventional lubricant case.

Semi-analytical approach-based studies of the squeeze film lubrication between rough porous annular discs: Rabinowitsch fluid model

“…The probability density function is incorporated by Equation 21. The accompanying expected estimations of film thickness is discussed in the work by Walicka et al [23].…”

“…By analysing the permeability influence on the rotor linear stability, D'Agostino et al [22] examined the unstable oil film forces in porous bearings. Vashi et al [23], have considered the Neuringer-Rosenzweig model to investigate the performance of circular stepped plates in the existence of couple stress, porosity, and SR Siddangouda et al [24] investigated the combined impact of SR and viscosity change brought on by additives on long journal bearing. According to Munshi et al [25], a rough porous sine film slider bearing with ferrofluid lubrication was subjected to a sinusoidal magnetic field.…”

“…Patel and Deheri [28] studied the joint effect of slip velocity and roughness on the ferrofluid lubrication of a curved rough annular squeeze film using the Jenkins model. Vashi et al [29] studied the longitudinally rough porous circular stepping plates based on the Neuringer-Roseinweig model in the presence of couple stress. The influence of a porous structure, slip velocity, and Rosensweig's viscosity on the ferrofluidbased squeeze film on porous curved annular plates was explored by Patel et al [30].…”

Static and Dynamic Characteristics of Rough Porous Rayleigh Step Bearing Lubricated with Couple Stress Fluid

“…Badescu [22] performed shape optimization of slider bearings operating with couple stress lubricants using a novel direct optimal control approach. Vashi et al [23] scrutinized longitudinally rough, porous circular stepped plates with the impact of ferrofluid in the presence of couple stress. The deterministic mixed lubrication model was studied by Wang et al [24] to understand the mechanism of LCC between parallel rough surfaces.…”