Journal of Theoretical
and Applied Mechanics
0, 0, pp. , Warsaw 0

NUMERICAL MODELLING OF SHLIOMIS MODEL BASED FERROFLUID LUBRICATION PERFORMANCE IN ROUGH SHORT BEARING

Mohmmadraiyan Mohmmadnur Munshi
This paper has attempted to scrutinize the bearing performance of a rough short bearing assisted by ferrofluid with the help of numerical modelling of 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 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 study representation, it can be concluded that a ferrofluid lubrication based on the Shliomis model can significantly neutralize the negative effects of the bearing’s roughness on its load carrying capacity.
Keywords: Ferrofluid; Roughness; Load carrying capacity

References


BASU S.K., SENGUPTA S.N., AHUJA B.B., 2005, Fundamentals of Tribology, Prentice‐Hall of India private limited, New Delhi, 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

PATEL J.R., DEHERI G.M., 2013, 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.M., DEHERI G.M., VADHER P.A., 2010, Magnetic fluid based short bearing and roughness effect, Journal of Science, 1, 1, 102-107

PATEL R.M., DEHERI G.M., VADHER P.A., 2010, 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 R.U., DEHERI G.M., 2013, Effect of slip velocity on the performance of a short bearing lubricated with a magnetic fluid, Acta Polytechnica, 53, 6, 890-894

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 & Interfaces, 6, 1, 20-24

SHLIOMIS M.I., 1974, Magnetic fluids, Soviet Physics Uspekhi, 17, 2, 153-169

VERMA P.D.S., 1986, Magnetic Fluid-based Squeeze Films, Int. J. of Engineering Sciences, 24, 3, 395-401