Numerical modelling of Shliomis model based ferrofluid lubrication performance in rough short bearing
More details
Hide details
Alpha College of Engineering and Technology, Gujarat Technological University, Kalol, Gujarat
Vishwakarma Government Engineering College, Gujarat Technological University, Ahmedabad, Gujarat
Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, Gujarat
Submission date: 2018-06-19
Acceptance date: 2019-05-24
Online publication date: 2019-10-15
Publication date: 2019-10-15
Journal of Theoretical and Applied Mechanics 2019;57(4):923-934
This paper has attempted to scrutinize the bearing performance of a rough short bearing assisted by a ferrofluid with the help of numerical modelling of the Shliomis model. The transverse roughness is calculated stochastically by averaging the Christensen and Tonder models. A non-zero mean is assumed for the probability density function for the random variable that determines the roughness of the bearing which is symmetrical. This attempt is made to create a more pragmatic and applicable situation. Expressions that can signify a dimensionless form of pressure and bearing load carrying capacity are found using Reynolds’ equation. The load carrying capacity equation is then solved numerically with the help of Simpson’s 1/3 rule to analyze the impact on the bearing system. From the graphical representation, it can be concluded that ferrofluid lubrication based on the Shliomis model can significantly neutralize the negative effects of the bearing roughness on its load carrying capacity.
Basu S.K., Sengupta S.N., Ahuja B.B., 2005, Fundamentals of Tribology, Prentice-Hall of India Private Limited, New Delhi, India.
Bhat M.V., 2003, Lubrication with a Magnetic Fluid, Team spirit Pvt. Ltd., India.
Christensen H., Tonder K.C., 1969a, Tribology of rough surfaces: stochastic models of hydrodynamic lubrication, SINTEF Report No. 10/69-18.
Christensen H., Tonder K.C., 1969b, Tribology of rough surfaces: parametric study and comparison of lubrication model, SINTEF Report, No. 22/69-18.
Christensen H., Tonder K.C., 1970, The hydrodynamic lubrication of rough bearing surfaces of finite width, ASME-ASLE Lubrication Conference, Cincinnati, Ohio, USA.
Deheri G.M., Patel J.R., 2011, Effect of surface roughness on the performance of a magnetic fluid based short bearing, Mathematics Today, 27, 10-23.
Lin J.R., Li P.J., Hung T.C., 2013, Lubrication performances of short journal bearings operating with non-Newtonian ferrofluids, Zeitschrift f¨ur Naturforschung, 68a, 249-254.
Majumdar B.C., 2008, Introduction to Tribology of Bearings, S. Chand and Comp. Ltd., New Delhi, India.
Patel J., Deheri G.M., 2013a, A comparison of porous structures on the performance of a magnetic fluid based rough short bearing, Tribology in Industry, 35, 3, 177-189.
Patel R.U., Deheri G.M., 2013b, Effect of slip velocity on the performance of a short bearing lubricated with a magnetic fluid, Acta Polytechnica, 53, 6, 890-894.
Patel R.M., Deheri G.M., Vadher P.A., 2010a, Magnetic fluid based short bearing and roughness effect, Journal of Science, 1, 1, 102-107.
Patel R.M., Deheri G.M., Vadher P.A., 2010b, Performance of a magnetic fluid-based short bearing, Acta Polytechnica Hungarica, 7, 3, 63-78.
Patel R.M., Deheri G.M., Vadher P.A., 2015, Hydromagnetic short bearings, Journal of Mechanical Engineering and Technology, 7, 2, 19-32.
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.
Prajapati B.L., 1994, Magnetic fluid-based porous inclined slider bearing with velocity slip, Prajna, 73-78.
Shimpi M.E., Deheri G.M., 2010, Magnetic fluid based rough short bearing, Journal of the Balkan Tribological Association, 16, 4, 484-497.
Shimpi M.E., Deheri G.M., 2012, Effect of deformation in magnetic fluid based transversely rough short bearing, Tribology – Materials Surfaces and Interfaces, 6, 1, 20-24.
Shliomis M.I., 1972, Effective viscosity of magnetic suspensions, Soviet Physics – JETP, 34, 6, 1291-1294.
Shliomis M.I., 1974, Magnetic fluids, Soviet Physics Uspekhi, 17, 2, 153-169.
Verma P.D.S., 1986, Magnetic fluid-based squeeze films, International Journal of Engineering Sciences, 24, 3, 395-401.
Journals System - logo
Scroll to top