A Comparison of Different Porous Structures on the Performance of A Magnetic Fluid Based Double Porous Layered Rough Slider Bearing

Jimit R. Patel^1, and G. M. Deheri¹

¹Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, Anand-388 120, Gujarat, India

Cite this paper:
Jimit R. Patel and G. M. Deheri. A Comparison of Different Porous Structures on the Performance of A Magnetic Fluid Based Double Porous Layered Rough Slider Bearing. International Journal of Materials Lifetime. 2014; 1(1):29-39. doi: 10.12691/ijml-1-1-5

Abstract

An attempt has been made to present an analytical solution for the performance characteristics of a magnetic fluid based double layered porous rough slider bearing. The Kozeny-Carman’s model and Irmay’s formulation are adopted for porous structures. The stochastic modeling of Christenson and Tonder is employed to evaluate the effect of transverse roughness of the bearing surfaces, in order to develop the associated Reynolds type equation. The expressions for pressure, load and friction are obtained. The graphical representations suggest that the Kozeny-Carman model scores over the Irmay’s model for an overall improved performance. It is noticed that the increased load carrying capacity owing to double layered gets enhanced due to the magnetic fluid lubricant and this goes a long way in reducing the adverse effect of roughness in the case of Kozeny-Carman model.

Keywords:
slider bearing magnetic fluid porous structure roughness

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References:

[1]	Prakash, J. and Vij, S.K., “Hydrodynamic Lubrication of a porous Slider,” Journal of Mechanical engineering science, 15 (3), 232-234, 1973.
[2]	Bujurke, N.M., Naduvinamani N.B. and Benchalli, S.S., “Secant shaped porous slider bearing lubricated with couple stress fluids,” Industrial Lubrication and Tribology, 57 (4), 155-160, 2005.
[3]	Khan, Y., Faraz, N, Yildirim, A., Wu, Q., “A series solution of the long porous slider,” Tribology Transactions, 54, 187-191, 2011.
[4]	Christensen, H. and Tonder, K.C., “Tribology of rough surfaces: stochastic models of hydrodynamic lubrication,” SINTEF, Report No.10/69-18,1969a.
[5]	Christensen, H. and Tonder, K.C., “Tribology of rough surfaces: parametric study and comparison of lubrication models,” SINTEF, Report No.22/69-18, 1969b.
[6]	Christensen, H. and Tonder, K.C., “The hydrodynamic lubrication of rough bearing surfaces of finite width,” ASME-ASLE Lubrication Conference, Cincinnati, OH, Paper no. 70-lub-7, 12-15, 1970.
[7]	Prajapati, B. L., “Behaviour of squeeze film between rotating porous circular plates: surface roughness and elastic deformation effects,” Pure and Applied Mathematical Science, 33 (1-2), 27-36, 1991.
[8]	Gupta, J.L. and Deheri, G.M., “Effect of Roughness on the Behavior of Squeeze Film in a Spherical Bearing,’ Tribology Transactions, 39, 99-102, 1996.
[9]	Turaga, Ram, Sekhar, A.S. and Majumdar, B.C., “Stochastic FEM analysis of finite hydrodynamic bearings with rough surfaces,” Tribology Transactions, 40 (4), 605-612, 1997.
[10]	Gadelmawla, E.S., Koura, M.M., Maksoud, T.M.A., Elewa, I.M. and Sollman, H.H., “Roughness parameters,” Journal of materials processing Technology, 123 (1), 133-145, 2002.
[11]	Sinha, Prawal and Adamu, Getachew, “THD analysis for slider bearing with roughness: special reference to load generation in parallel sliders,” Acta Mech., 207, 11-27, 2009.
[12]	Srinivasan, U., “The analysis of a double-Layered porous slider bearing,” Wear, 42, 205-215, 1977.
[13]	Verma, P.D.S., “Double layer porous journal bearing,” Mechanics of Materials, 2 (3), 233-238, 1983.
[14]	Shah R.C. and Patel, D.B., “Mathematical analysis of newly designed ferrofluid lubricated double porous layered axially undefined journal bearing with anisotropic permeability, slip velocity and squeeze velocity,” International journal of fluid mechanics research, 40 (5), 446-454, 2013.
[15]	Ram, Paras and Verma, P.D.S., “Ferrofluid lubrication in porous inclined slider bearing”, Indian J. Pure Appl. Math., 30 (12), 1273-1281, 1999.
[16]	Shah, R.C. and Bhat, M.V., “Lubrication of a porous exponential slider bearing by ferrofluid with slip velocity”, Turkish J. Engg. Env. Sci., 27, 183-187, 2003.
[17]	Ahmad, N. and Singh J.P., “Analysis of a porous inclined slider bearing lubricated with a magnetic fluid considering slip velocity,” Proceedings of the institution of Mechanical Engineers, Part N: Journal of Nanoengineering and Nanosystems, 221 (3), 81-85, 2007.
[18]	Lin, J.R. and Lu, R.F., “Dynamic characteristics for magneto hydrodynamic wide slider bearing with an exponential film rofile,” Journal of Marine Science and Technology, 18, 268-276, 2010.
[19]	Shukla, S.D. and Deheri, G.M., “Surface roughness effect on the performance of a magnetic fluid based porous secant shaped slider bearing,” Industrial Engineering letters, 1 (2), 12-25, 2011.
[20]	Patel, N.S., Vakharia, D.P. and Deheri, G.M., “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, 2012.
[21]	Patel, J.R. and Deheri, G.M., “A comparison of porous structures on the performance of a magnetic fluid based rough short bearing,” Tribology in industry, 35 (3), 177-189, 2013.
[22]	Patel, J. R. and Deheri, G., “Slip velocity and roughness effect on magnetic fluid based infinitely long bearings,” Proceedings of international conference on advances in Tribology and Engineering Systems, Springer India, 97-109, 2014.
[23]	Prajapati, B.L., “On Certain Theoretical Studies in Hydrodynamic and Electro-magneto hydrodynamic Lubrication,” Ph. D. Thesis, S.P. University, Vallabh Vidyanagar, 1995.
[24]	Bhat, M.V. and Deheri, G.M., “Porous slider bearing with squeeze film formed by a magnetic fluid,” Pure and Applied Mathematika Sciences, 39 (1-2), 39-43, 1995.
[25]	Bhat, M.V., Lubrication with a Magnetic fluid, Team Spirit (India) Pvt. Ltd, 2003.
[26]	Deheri, G.M., Andharia, P.I. and Patel, R.M., “Transversely rough slider bearings with squeeze film formed by a magnetic fluid,” Int. J. of Applied Mechanics and Engineering, 10 (1), 53-76, 2005.
[27]	Liu, J., “Analysis of a porous elastic sheet damper with a magnetic fluid,” Journal of Tribology, 131, 0218011-15, 2009.
[28]	Patel, J.R. and Deheri G., “Shliomis model based ferrofluid lubrication of squeeze film in rotating rough curved circular disks with assorted porous structures,” American journal of Industrial Engineering, 1 (3), 51-61, 2013.
[29]	Patel, J.R. and Deheri G., “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.
[30]	Bear, J., Zaslavsky, D. and Irmay, S., Physical Principles of Water Percolation and Seepage, Unesco, Paris, France, 1968.
[31]	Patel, J.R., Deheri, G., “Shliomis model-based magnetic squeeze film in rotating rough curved circular plates: a comparison of two different porous structures,” Int. J. Computational Materials Science and Surface Engineering, 6 (1), 29-49, 2014.
[32]	Patel, J.R. and Deheri G., “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.