Influence of viscosity variation on ferrofluid based long bearing

  • Jimit Patel Department of Mathematical Sciences, P. D. Patel Institute of Applied Sciences, Charotar University of Science and Technology (Charusat), Changa, Gujarat, India
  • G. M. Deheri Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, Anand, Gujarat, India
Keywords: Long Bearing, Magnetic Fluid, Viscosity Variation.


This paper deals with a theoretical analysis on the effect of viscosity variation on a ferrofluid based long bearing. The model of Tipei considering viscosity variation is deployed here. The magnetic fluid flow is governed by Neuringer-Rosensweig model. The pressure distribution is obtained after solving the associated Reynolds type equation, which gives the load carrying capacity. The computed results indicate that the increased load carrying capacity owing to magnetization gets negligible help from the effect of viscosity variation.


Agrawal, V.K. (1986). Magnetic-fluid-based porous inclined slider bearing. Wear, 107(2), 133–139.

Bhat, M.V. & Deheri, G.M. (1995). Porous slider bearing with squeeze film formed by a magnetic fluid. Pure and Applied Mathematika Sciences, 39(1-2), 39-43.

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

Chanda, P., Sinha, P. & Kumar, D. (1992). Ferrofluid lubrication of a journal bearing considering cavitation. Tribology Transactions, 35(1), 163–169.

Deheri, G.M. & Abhangi, N.D. (2011). Numerical modelling of a magnetic fluid-based squeeze film between rotating transversely rough curved circular plates. International Journal of Computational Materials Science and Surface Engineering, 4(3), 185–204.

Deheri, G.M. & Patel, J.R. (2011). Magnetic Fluid Based Squeeze Film in a Rough Porous Parallel Plate Slider Bearing. Annals of Faculty Engineering Hunedoara – International Journal of Engineering, IX (3), 443-448.

Deheri, G.M., Andharia, P.I. & Patel, R.M. (2005). Transversely rough slider bearings with squeeze film formed by a magnetic fluid. Int. J. of Applied Mechanics and Engineering, 10(1), 53-76.

Deheri, G.M., Changela, C.D., Patel, H.C. & Abhangi, N.D. (2010). Performance of an infinitely long transversely rough hydrodynamic slider bearing. Advanced Tribology: Proceedings of CIST2008 & ITS-IFToMM2008, 262-263.

Deresse, G.A. & Sinha, P. (2011). THD analysis for finite slider bearing with roughness: special reference to load generation in parallel sliders. Acta Mech., 222, 1-15.

Hamrock, B.J. (1994). Fundamentals of Fluid film Lubrication. New York: McGraw-Hill Inc.

Majumdar, B.C. (2008). Introduction to Tribology of Bearings. New Delhi: S. Chand and Company Limited, India.

Nada, G.S. & Osman, T.A. (2007). Static performance of finite hydrodynamic journal bearings lubricated by magnetic fluids with couple stresses. Tribology Letters, 27(3), 261– 268.

Neuringer, J.L. & Rosensweig, R.E. (1964). Magnetic Fluids, Magnetic Fluid. Physics of Fluids, 7(12), 1927.

Odenbach (2003). Ferrofluids-magnetically controlled suspensions. Colloids Surfaces A: Physicochem. Eng. Asp, 217, 171–178.

Patel, J.R, Deheri, G.M. & Patel, Sejal J. (2017). Ferrofluid Lubrication of a Rough Porous Secant-Shaped Slider Bearing with Slip Velocity. Journal of the Serbian Society for Computational Mechanics, 11(1), 69-81.

Patel, J.R. & Deheri, G.M. (2014). 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.

Patel, J.R. & Deheri, G.M. (2015). Jenkins Model Based Magnetic Squeeze Film In Curved Rough Circular Plates Considering Slip Velocity: A Comparison Of Shapes. FME Transactions, 43(2), 144-153.

Patel, J.R. & Deheri, G.M. (2016). A study of thin film lubrication at nanoscale for a ferrofluid based infinitely long rough porous slider bearing. Facta Universitatis Series: Mechanical Engineering, 14(1), 89 – 99.

Patel, J.R. & Deheri, G.M. (2016). Combined Effect of Slip Velocity and Roughness on the Jenkins Model Based Ferrofluid Lubrication of a Curved Rough Annular Squeeze Film. Journal of Applied Fluid Mechanics, 9(2), 855-865.

Patel, J.R. & Deheri, G.M. (2016). Performance of a Ferrofluid Based Rough Parallel Plate Slider Bearing: A Comparison of Three Magnetic Fluid Flow Models. Advances in Tribology, 2016, Article ID 8197160, 1-9.

Patel, J.R. & Deheri, G.M. (2019). Viscosity variation effect on the magnetic fluid lubrication of a short bearing. Journal of the Serbian Society for Computational Mechanics, 13(2), 56-66.

Patel, N.C. & Patel, J.R. (2020). Magnetic fluid-based squeeze film between curved porous annular plates considering the rotation of magnetic particles and slip velocity. Journal of the Serbian Society for Computational Mechanics. 14(2), 69-82.

Patel, N.S., Vakharia, D.P. & Deheri, G.M. (2012). A study on the performance of a magnetic-fluid-based hydrodynamic short journal bearing. ISRN Mechanical Engineering, 2012, Article ID 603460.

Prajapati, B.L. (1995). On Certain Theoretical Studies in Hydrodynamic and Electro-magneto hydrodynamic Lubrication. Ph. D. Thesis: S.P. University. Vallabh Vidyanagar, Anand, India.

Shah, R.C. & Bhat, M.V. (2000). Squeeze film based on magnetic fluid in curved porous rotating circular plates. Journal of Magnetism and Magnetic Materials, 208(1), 115–119.

Shah, R.C. & Bhat, M.V. (2003). Magnetic fluid based porous inclined slider bearing with velocity slip. Int. J. of Applied Mechanics and Engineering, 18(2), 331–336.

Szeri, A.Z. (1998). Fluid Film Lubrication: Theory and Design. New York: Cambridge Univ. Press.

Tipei, N. (1982). Theory of lubrication with ferrofluids: application to short bearings. Transactions of ASME, 104, 510–515.

Urreta, H., Leicht, Z., Sanchez, A., Agirre, A., Kuzhir, P. & Magnac, G. (2009). Hydrodynamic bearing lubricated with magnetic fluids. Journal of Physics: Conference series. 149(1), Article ID 012113.

How to Cite
Patel, J., & Deheri, G. M. (2021). Influence of viscosity variation on ferrofluid based long bearing. Reports in Mechanical Engineering, 3(1), 37-45.