A comparative study of ferrofluid lubrication on double-layer porous squeeze curved annular plates with slip velocity

Abstract

This article makes an effort to present a comparative study on the performance of a Shliomis model-based ferrofluid (FF) lubrication of a porous squeeze film in curved annular plates taking slip velocity into account. The modified Darcy’s law has been adopted to find the impact of the doublelayered porosity, while the slip velocity effect has been calculated according to Beavers and Joseph’s slip conditions. The modified Reynolds equation for the double-layered bearing system is solved to compute a dimensionless pressure profile and load-bearing capacity (LBC). The graphical results of the study reveal that the LBC increases in the case of magnetization, volume concentration and upper plate’s curvature parameter while it decreases with other parameters for both the film thickness profile. A comparative study suggests that the exponential film thickness profile is more suitable to enhance LBC for the annular plates lubricated by ferrofluid, including the presence of a slip. The study shows that the slip model performed quite well and there is a potential for improving the performance efficiency. Besides, multiple methods have been presented to enhance the performance of the above mentioned bearing system by selecting various combinations of parameters governing the system.

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

“…( ŵp ) at ẑ=0 = ( ŵprs ) at ẑ=0 . (12) Substituting Equation 12into Equation 9, the result obtained is known as the modified NLRE which is expressed as:…”

“…With the use of Darcy's model, Morgan and Cameron [10] were the first researchers who inves-tigated the porous effect on bearing surfaces. Patel et al [12] have considered double-layer porous surface with a curved squeeze film. Bhat and Deheri [13] conducted a study on squeeze film behaviour in porous annular discs that are lubricated with magnetic fluid.…”

Squeeze film derivation of the porous curved annular plates with variable magnetic field, Rosensweig’s viscosity and slip velocity in the Shliomis model

“…FF lubrication plays a crucial role to enhance the rate of heat transfer and load performance in various bearing designs such as short (Tipei , 1982), annular (Yang et al. , 2023; Patel et al. , 2022), conical, inclined slider, exponential slide (Lin and Chu, 2018), ball and textured rolling.…”