Ferrofluid Based Squeeze Film Lubrication between Rough Stepped Plates with Couple Stress Effect

Abstract

This investigation purposes to study the magnetic fluid based squeeze film behavior on transversely rough stepped plates with the influence of couple stress. Using the well-known stochastic model of Christensen and Tonder the roughness effect has been evaluated. The magnetic fluid flow model of Neuringer -Roseinweig has been adopted to obtain the influence of magnetization. The governing Reynolds' type equation is derived on the basis of stokes microcontinum theory for couple stress fluid. For the expression of pressure distribution, the stochastically averaged Reynolds' type equation is solved. which results in calculation of load carrying capacity. The graphical outcomes also presented in tabular form suggest that although the bearing suffers on account of roughness, the magnetization and couple stress effect save the situation, as this combination does not allow the load carrying capacity to fall rapidly. However, in the case of negatively skewed roughness the magnetization goes a long way in dropping the adversarial influence of roughness by selecting an appropriate value of couple stress parameter when variance (-ve) is involved. It is found that the couple stress effect, alone may not be sufficient to counter the negative influence of transverse roughness and porosity. However, in almost all situations the ferrofluid lubrication adds significantly to the positive effect of couple stress to overcome the adversarial outcome of porosity and roughness. Further, the position of step plays a vital role for an all-round enhancement of the bearing performance.

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

“…The equation (17), equation (18) and equation ( 24) represent the closed form solution for pressure and load capacity. Equation (24) suggests that load capacity is enhanced by µ * (2K−1)…”

“…Among all these models, the stochastic approach given by Christensen and Tonder [12][13][14] is used very widely. Many investigators have studied the combined influence of surface roughness and ferrofluid for a distinct porous bearing configuration [15][16][17][18][19][20]. All these scrutinies discovered that the load capacity of the bearing is improved due to ferrofluid and negatively skewed roughness.…”

Lubrication of Rough Short Bearing on Shliomis Model by Ferrofluid Considering Viscosity Variation Effect

“…Therefore, for industrial application, the study of lubrication with magnetic fluid is of primary importance. Some researchers (Deheri et al, 2016;Munshi et al, 2017;Patel et al, 2017;Vashi et al, 2018) have also used magnetic fluid as a lubricant in order to aid the tribological performance of a sliding interface. Christensen and Tonder (1969a, b;1971) used a stochastic concept and came up with a new model for lubricated surfaces with striated roughness using an averaging film.…”

A Study of Ferrofluid Lubrication Based Rough Sine Film Slider Bearing With Assorted Porous Structure

“…Amongst the biggest inventions in the field is the use of ferrofluid as a bearing system lubricant. A number of authors [7][8][9][10][11] have worked to explain the performance and applications of ferrofluid when used in different types of bearing systems. These studies have suggested that ferrofluid impacts the bearing performance positively.…”