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

Authors

  • Niru C. Patel Charotar University of Science and Technology (CHARUSAT), P. D. Patel Institute of Applied Sciences, Department of Mathematical Sciences, CHARUSAT campus, Changa 388 421, Gujarat, India
  • Jimit R. Patel Charotar University of Science and Technology (CHARUSAT), P. D. Patel Institute of Applied Sciences, Department of Mathematical Sciences, CHARUSAT campus, Changa 388 421, Gujarat, India
  • Gunamani M. Deheri Sardar Patel University, Department of Mathematics, V. V. Nagar 388 120, Anand, Gujarat, India

DOI:

https://doi.org/10.14311/AP.2022.62.0488

Keywords:

shliomis model, curved annular plates, double-layered porous, slip velocity, exponential and hyperbolic film profile, ferrofluid

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.

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References

J. Lin. Magneto-hydrodynamic squeeze film characteristics between annular disks. Industrial Lubrication and Tribology 53(2):66–71, 2001. https://doi.org/10.1108/00368790110384028.

R. Shah, M. Bhat. Ferrofluid squeeze film between curved annular plates including rotation of magnetic particles. Journal of Engineering Mathematics 51(4):317–324, 2005. https://doi.org/10.1007/s10665-004-1770-9.

N. Bujurke, N. Naduvinamani, D. Basti. Effect of surface roughness on the squeeze film lubrication between curved annular plates. Industrial Lubrication and Tribology 59(4):178–185, 2007. https://doi.org/10.1108/00368790710753572.

G. Deheri, R. Patel, N. Abhangi. Magnetic fluid-based squeeze film behavior between transversely rough curved annular plates: A comparative study. Industrial Lubrication and Tribology 63(4):254–270, 2011. https://doi.org/10.1108/00368791111140477.

S. Fatima, T. Biradar, B. Hanumagowda. Magneto-hydrodynamics couple stress squeeze film lubrication of rough annular plates. International Journal of Current Research 9(9):58007–58014, 2017.

G. Hanumagowda, B.and Savitramma, A. Salma, Noorjahan. Combined effect of piezo-viscous dependency and non-newtonian couple stresses in annular plates squeeze-film characteristics. Journal of Physics: Conference Series 1000(1):1–8, 2018. https://doi.org/10.1088/1742-6596/1000/1/012083.

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

J. Gupta, K. Vora, M. Bhat. The effect of rotational inertia on the squeeze film load between porous annular curved plates. Wear 79:235–240, 1982. https://doi.org/10.1016/0043-1648(82)90171-5.

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

R. Shah, S. Tripathi, M. Bhat. Magnetic fluid based squeeze film between porous annular curved plates with the effect of rotational inertia. Pramana - Journal of Physics 58(3):545–550, 2002. https://doi.org/10.1007/s12043-002-0064-x.

M. Shimpi, G. Deheri. A study on the performance of a magnetic fluid based squeeze film in curved porous rotating rough annular plates and deformation effect. Tribology International 47:90–99, 2012. https://doi.org/10.1016/j.triboint.2011.10.015.

J. Patel, G. Deheri. Theoretical study of shliomis model based magnetic squeeze film in rough curved annular plates with assorted porous structures. FME Transactions 42(1):56–66, 2014. https://doi.org/10.5937/fmet1401056p.

P. Rao, S. Agarwal. Couple stress fluid-based squeeze film between porous annular curved plates with the effect of rotational inertia. Iranian Journal of Science and Technology, Transactions A: Science 41(4):1171–1175, 2017. https://doi.org/10.1007/s40995-017-0295-9.

K. Vasanth, J. Hanumagowda, J. Santhosh Kumar. Combined effect of piezoviscous dependency and non-newtonian couple stress on squeeze-film porous annular plate. Journal of Physics: Conference Series 1000(1):1–8, 2018. https://doi.org/10.1088/1742-6596/1000/1/012080.

R. Shah, D. Patel, D. Patel. Ferrofluid-based annular squeeze film bearing with the effects of roughness and micromodel patterns of porous structures. Tribology - Materials, Surfaces & Interfaces 12(4):208–222, 2018. https://doi.org/10.1080/17515831.2018.1542192.

P. Kumar, D.and Sinha, P. Chandra. Ferrofluid squeeze film for spherical and conical bearings. International Journal of Engineering Science 30(5):645–656, 1992. https://doi.org/10.1016/0020-7225(92)90008-5.

P. Sinha, P. Chandra, D. Kumar. Ferrofluid lubrication of cylindrical rollers with cavitation. Acta Mechanica 98:27–38, 1993. https://doi.org/10.1007/bf01174291.

R. Shah, M. Bhat. Ferrofluid squeeze film in a long journal bearing. Tribology International 37:441–446, 2004. https://doi.org/10.1016/j.triboint.2003.10.007.

J. Patel, G. Deheri. Performance of a ferrofluid based rough parallel plate slider bearing: A comparison of three magnetic fluid flow models. Advances in Tribology 2016:1–9, 2016. https://doi.org/10.1155/2016/8197160.

R. Shah, R. Shah. Derivation of ferrofluid lubrication equation for slider bearings with variable magnetic field and rotations of the carrier liquid as well as magnetic particles. Meccanica 53(4-5):857–869, 2017. https://doi.org/10.1007/s11012-017-0788-9.

M. Munshi, A. Patel, G. Deheri. Lubrication of rough short bearing on shliomis model by ferrofluid considering viscosity variation effect. International Journal of Mathematical, Engineering and Management Sciences 4(4):982–997, 2019. https://doi.org/10.33889/ijmems.2019.4.4-078.

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

A. Chattopadhyay, B. Majumdar. Steady state solution of finite hydrostatic porous oil journal bearings with tangential velocity slip. Tribology International 17(6):317–323, 1984. https://doi.org/10.1016/0301-679x(84)90095-1.

R. Shah, M. Parsania. Ferrofluid lubrication equation for non-isotropic porous squeeze film bearing with slip velocity. Mathematics today 28(2):43–49, 2012.

R. Shah, D. Patel. Squeeze film based on ferrofluid in curved porous circular plates with various porous structure. Applied Mathematics 2(4):121–123, 2012. https://doi.org/10.5923/j.am.20120204.04.

J. Venkata, R. Murthy, M. Kumar. Effect of slip parameter on the flow of viscous fluid past an impervious sphere. International Journal of Applied Science and Engineering 12(3):203–223, 2014. https://doi.org/10.6703/IJASE.2014.12(3).203.

G. Deheri, S. Patel. Combined effect of slip velocity and surface roughness on a magnetic squeeze film for a sphere in a spherical seat. Indian Journal of Materials Science 2015:1–9, 2015. https://doi.org/10.1155/2015/159698.

J. Patel, G. Deheri. Numerical modeling of jenkins model based ferrofluid lubrication squeeze film performance in rough curved annular plates under the presence of slip velocity. Facta Universitatis, Series: Mathematics and Informatics 31(1):11–31, 2016.

N. Shah, R.and Patel, R. Kataria. Some porous squeeze film-bearings using ferrofluid lubricant: A review with contributions. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology 230(9):1157–1171, 2016. https://doi.org/10.1177/1350650116629096.

M. Mishra, S.and Barik, G. Dash. An analysis of hydrodynamic ferrofluid lubrication of an inclined rough slider bearing. Tribology - Materials, Surfaces & Interfaces 12(1):17–26, 2018. https://doi.org/10.1080/17515831.2017.1418280.

C. Fragassa, G. Minak, A. Pavlovic. Measuring deformations in the telescopic boom under static and dynamic load conditions. Facta Universitatis, Series: Mechanical Engineering 18(2):315–328, 2020. https://doi.org/10.22190/FUME181201001F.

G. Janevski, P. Kozic, A. Pavlovic, S. Posavljak. Moment lyapunov exponents and stochastic stability of a thin-walled beam subjected to axial loads and end moments. Facta Universitatis, Series: Mechanical Engineering 19(2):209–228, 2021. https://doi.org/10.22190/FUME191127014J.

T. Geike. Bubble dynamics-based modeling of the cavitation dynamics in lubricated contacts. Facta Universitatis, Series: Mechanical Engineering 19(1):115–124, 2021. https://doi.org/10.22190/FUME210112027G.

J. Patel, G. Deheri. Influence of viscosity variation on ferrofluid based long bearing. Reports in Mechanical Engineering 3(1):37–45, 2022. https://doi.org/10.31181/rme200103037j.

J. Patel, G. Deheri. Effect of various porous structures on the shliomis model based ferrofluid lubrication of the film squeezed between rotating rough curved circular plates. Facta Universitatis, Series: Mechanical Engineering 12(3):305 – 323, 2014.

J. Patel, G. Deheri. A study of thin film lubrication at nanoscale for a ferrofluid based infinitely long rough porous slider bearing. Facta Universitatis, Series: Mechanical Engineering 14:89–99, 2016. https://doi.org/10.22190/FUME1601089P.

P. Murti. Squeeze films in curved porous circular plates. Journal of Lubrication Technology 97(4):650–652, 1975. https://doi.org/10.1115/1.3452699.

J. Patel, G. Deheri. Jenkins model based magnetic squeeze film in curved rough circular plates considering slip velocity: A comparison of shapes. FME Transactions 43(2):144–153, 2015. https://doi.org/10.5937/fmet1502144p.

M. Shliomis. Effective viscosity of magnetic suspensions. Soviet Physics – JETP 34(6):1291–1294, 1972.

D. Kumar. Lubrication with a Magnetic fluid. Ph.D. thesis, IIT Kanpur, 1991.

J. Shukla, D. Kumar. A theory for ferromagnetic lubrication. Journal of Magnetism and Magnetic Materials 65(2-3):375–378, 1987. https://doi.org/10.1016/0304-8853(87)90075-8.

M. Bhat. Lubrication with a Magnetic fluid. Team Spirit (India) Pvt. Ltd., India, 2003.

N. Patel, J. Patel. Magnetic fluid-based squeeze film between curved porous annular plates considering the rotation of magnetic particles and slip velocity. Journal of Serbian Society for Computational Mechanics 14(2):69–82, 2020. https://doi.org/10.24874/jsscm.2020.14.02.05.

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Published

2022-08-31

How to Cite

Patel, N. C., Patel, J. R., & Deheri, G. M. (2022). A comparative study of ferrofluid lubrication on double-layer porous squeeze curved annular plates with slip velocity. Acta Polytechnica, 62(4), 488–497. https://doi.org/10.14311/AP.2022.62.0488

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