Influence of Ferrofluid Lubrication on Longitudinally Rough Truncated Conical Plates with Slip Velocity

Authors

  • M M Munshi Alpha College of Engineering and Technology, Gujarat Technological University, Kalol, 382 721, Gujarat, India
  • A R Patel Vishwakarma Government Engineering College, Gujarat Technological University, Ahmedabad, 382 424, Gujarat, India
  • G M Deheri Sardar Patel University, Vallabh Vidhyanagar, Anand, 388 120, Gujarat, India

DOI:

https://doi.org/10.15415/mjis.2019.72012

Keywords:

Slip velocity, Ferrofluid, longitudinal roughness

Abstract

The study focuses on analyzing the effect of slip velocity in the case of a Ferrofluid squeeze film when the surface of truncated cone-shaped plates has a longitudinal roughness. Each oblique to the bottom plate was utilized by the external magnetic field. The bearing surface has a roughness that is designed with the help of a random stochastic variable having a nonzero mean, skewness and variance. The load carrying ability of a bearing system’s surface is determined by calculating the dispersal of pressure in the system, which is calculated by using the associated stochastically average Reynolds’ equation. The graphs obtained from the study shows that there is a correlation between the longitudinal surface roughness and the bearing system performance. The magnetic fluid lubrication has a positive impact on a system’s bearing capacity. However, the load bearing capacity declines as a result of the effect of slip. A high negative skewness of the surface roughness also has a positive impact on a bearing’s load carrying capacity. One interesting finding shows that contrasting to the results of transverse roughness, standard deviation positively impacts the load bearing capacity. This investigation suggests despite the im-portance of aspect ratio and semi vertical angle is significant for performance enhancement, it is also essential to maintain the slip at the lowest level.

Downloads

Download data is not yet available.

References

Andharia, P. I., Deheri, G. M. (2010). Longitudinal roughness effect on magnetic fluid based squeeze film between conical plates, Industrial Lubrication and Tribology, 62(5), 285–291. https://doi.org/10.1108/00368791011064446

Andharia, P. I., Deheri, G. M. (2011). Effect of longitudinal roughness on magnetic fluid based squeeze film between truncated conical plates, Fluid Dynamics and Materials Processing, 7(1), 111–124.

Beavers, G. S., Joseph, D. D. (1967). Boundary conditions at a naturally permeable wall, Journal of Fluid Mechanics, 30(1), 197–207. https://doi.org/10.1017/s0022112067001375

Berthe, D., Godet, M. (1974). A more general form of Reynolds equation-application to rough surfaces, Wear, 27(3), 345-357. https://doi.org/10.1016/0043-1648(74)90119-7

Bhat, M. V., Deheri, G. M. (1991). Squeeze film behaviour in porous annular disks lubricated with magnetic fluid, Wear, 151(1), 123–128. https://doi.org/10.1016/0043-1648(91)90352-u

Bhat, M. V., Deheri, G. M. (1992). Magnetic fluid based squeeze film between two curved circular plates, Bulletin of Calcutta Mathematical Society, 85, 521–524.

Burton, R. A. (1963). Effect of two dimensional, sinusoidal roughness on the load support characteristics of a lubricant film, Journal of Basic Engineering, 85(2), 258–262. https://doi.org/10.1115/1.3656572

Christensen, H., Tonder, K. C. (1969a). Tribology of rough surfaces: stochastic models of hydrodynamic lubrication, SINTEF Report 10/69-18.

Christensen, H., Tonder, K. C. (1969b). Tribology of rough surfaces: parametric study and comparison of lubrication model, SINTEF Report 22/69-18.

Christensen, H., Tonder, K. C. (1970). The hydrodynamic lubrication of rough bearing surfaces of finite width, ASME-ASLE Lubrication Conference, Paper no.70-lub-7.

Deheri, G. M., Patel, H. C., Patel, R. M. (2007). Magnetic fluid-based squeeze film between rough porous truncated conical plates, Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 221(4), 515–524.https://doi.org/10.1243/13506501jet226

Gadelmawla, E. S., Koura, M. M., Maksoud, T. M. A., Elewa, I. M., Sollman, H. H. (2002). Roughness parameters, Journal of materials processing Technology, 123(1), 133–145.

https://doi.org/10.1016/s0924-0136(02)00060-2

Lin, J. R., Lin, M. C., Hung, T. C., Wang, P. Y. (2013). Effects of fluid inertia forces on the squeeze film characteristics of conical plates- ferromagnetic fluid model, Lubrication Science, 25(7), 429–439.https://doi.org/10.1002/ls.1206

Munshi, M. M., Patel, A. R., Deheri, G. M. (2017). Effect of slip velocity on a magnetic fluid based squeeze film in rotating transversely rough curved porous circular plates, Industrial Engineering Letters, 7(8), 28–42.

Neuringer, J. L., Rosensweig, R. E. (1964). Magnetic Fluids, Physics of Fluids, 7(12), 1927–1937. https://doi.org/10.1063/1.1711103

Patel, J. R., Deheri, G. M. (2016). The effect of slip velocity on the Ferrofluid based squeeze film in longitudinally rough conical plates, Journal of the Serbian Society for

Computational Mechanics, 10(2), 18–29. https://doi.org/10.5937/jsscm1602018p

Patel, J. R., Shimpi, M. E., Deheri, G. M. (2017). Ferrofluid based squeeze film for a rough conical bearing with deformation effect, International Conference on Research

and Innovations in Science, Engineering &Technology, 2, 119–129. https://doi.org/10.29007/wlbc

Patel, N. D., Deheri, G. M. (2011). Shliomis model-based Ferrofluid lubrication of a plane inclined slider bearing with slip velocity, International journal of fluids engineering, 3(3), 311–324.

Patel, N. S., Vakharia, D. P., Deheri, G. M. (2012). A study on the performance of a magnetic fluid based hydrodynamic short porous journal bearing, Journal of the Serbian Society for Computational Mechanics, 6(2), 28–44.

Patel, R. M., Deheri, G. M. (2007). Magnetic fluid based squeeze film between porous conical plates, Industrial lubrication and Tribology, 59(3), 143–147. https://doi.org/10.1108/00368790710746110

Patel, R. M., Deheri, G. M. (2007). Performance of magnetic fluid based squeeze film between porous truncated conical plates, Journal of engineering and technology, Sardar Patel University, 20, 25–30.

Patel, R. M., Deheri, G. M. (2013). Magnetic fluid based squeeze film between porous rough conical plates, Journal of computational methods in science and engineering, 13(5-6), 1–16.

Prakash, J., Vij, S. K. (1973). Load capacity and time-height relations for squeeze films between porous plates, Wear, 24(3), 309–322. https://doi.org/10.1016/0043-1648(73)90161-0

Shah, R. C., Bhat, M. V. (2002). Ferrofluid lubrication in porous inclined slider bearing with velocity slip, International Journal of Mechanical Sciences, 44(12), 2495–2502. https://doi.org/10.1016/s0020-7403(02)00187-x

Shimpi, M. E., Deheri, G. M. (2014). Effect of slip velocity and bearing deformation on the performance of a magnetic fluid based rough porous truncated conical plates, Iranian Journal of Science and Technology - Transactions of Mechanical Engineering, 38, 195–206.

Shimpi, M. E., Deheri, G. M. (2016). Combined effect of bearing deformation and longitudinal roughness on the performance of a Ferrofluid based squeeze film together with velocity slip in truncated conical plates, Imperial Journal of Interdisciplinary Research, 2(8), 1423–1430.

Shukla, S. D., Deheri, G. M. (2013). Effect of slip velocity on magnetic fluid lubrication of rough porous Rayleigh step bearing, Journal of Mechanical Engineering and Sciences, 4, 532–547. https://doi.org/10.15282/jmes.4.2013.17.0050

Sparrow, E. M., Beavers, G. S., Hwang, I. T. (1972). Effect of velocity slip on porous walled squeeze films, Journal of Lubrication Technology, 94(3), 260–265. https://doi.org/10.1115/1.3451704

Ting, L. L. (1975). Engagement behaviour of lubricated porous annular disks Part I: squeeze film phase, surface roughness and elastic deformation effects, Wear, 34(2), 159–172. https://doi.org/10.1016/0043-1648(75)90062-9

Downloads

Published

2019-03-06

How to Cite

M M Munshi, A R Patel, and G M Deheri. 2019. “Influence of Ferrofluid Lubrication on Longitudinally Rough Truncated Conical Plates With Slip Velocity”. Mathematical Journal of Interdisciplinary Sciences 7 (2):93-101. https://doi.org/10.15415/mjis.2019.72012.

Issue

Section

Articles