An endeavor has been made to analyze porous squeeze film performance in curved annular plates considering slip velocity, Kozeny-Carman’s porous structure and Rosensweig’s viscosity in Shliomis model-based magnetic fluid lubrication. The globular sphere model of Kozeny-Carman for porous facing is adopted here. An extension of the Einstein’s viscosity for ferrofluid proposed by Rosensweig is considered here to improve the viscosity of ferrofluid for the Shliomis model, while Beavers and Joseph’s slip model is used for evaluating the slip effect. The pressure and load lifting capacity in dimensionless form is obtained by modifying the Reynolds equation incorporating the Rosensweig’s viscosity, Kozeny-Carman’s model-based porosity, slip and Shliomis model-based ferofluid lubrication. The graphical representation reveals that load carrying capacity (LCC) can be increased by increasing the curvature of upper plates, volume concentration and magnetization parameter but decrease with the slip velocity, porous structure parameter and porosity parameter. This study indicates that the load-bearing capacity remains higher as compared to the case of Einstein’s viscosity model. However, this investigation conclusively establishes that the Shliomis model goes ahead of the other two magnetic fluid flow models in overall improvement of bearing performance characteristics. Interestingly, even considerable amount of slip may not pose a serious problem when Kozeny-Carman’s model is resorted to. This investigation reveals that this type of bearing system sustains good amount of load even in the absence of flow which does not happen in the case of conventional bearing system.
The ferrofluid flow model of the Shliomis and continuity equation for the film and porous interface with the theory of Darcy, the modified Reynolds equation for ferrofluid squeeze film between curved annular plates is discussed with the impact of the rotation of Ferro-particles and slip velocity at the boundary. Beavers and Joseph’s slip conditions are adopted to study the impact of slip velocity. The generalized non-dimensional pressure equation is derived and expression for dimensionless load-carrying capacity is obtained for the same. The graphical representation suggests that the bearing's performance enhances due to ferrofluid, considering the appropriate values of parameters for slip velocity and porosity.
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.
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