Influence of Wall Porosity and Surfaces Roughness on the Steady Performance of an Externally Pressurized Hydrostatic Conical Bearing Lubricated by a Rabinowitsch Fluid
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University of Zielona Góra, Faculty of Mechanical Engineering, ul. Szafrana 4, 65-516, Zielona Góra, Poland
Online publication date: 2017-09-09
Publication date: 2017-08-01
International Journal of Applied Mechanics and Engineering 2017;22(3):717-737
In the paper, the influence of both the bearing surfaces roughness as well as porosity of one bearing surface on the pressure distribution and load-carrying capacity of a curvilinear, externally pressurized, thrust bearing is discussed. The equations of motion of a pseudo-plastic Rabinowitsch fluid are used to derive the Reynolds equation. After general considerations on the flow in a bearing clearance and in a porous layer using the Morgan-Cameron approximation and Christensen theory of hydrodynamic lubrication with rough bearing surfaces the modified Reynolds equation is obtained. The analytical solution is presented; as a result one obtains the formulae expressing the pressure distribution and load-carrying capacity. Thrust radial and conical bearings, externally pressurized, are considered as numerical examples.
Walicka A. (1994): Micropolar Flow in a Slot between Rotating Surfaces of Revolution. – Zielona Góra: TU Press.
Walicki E. and Walicka A. (1998): Mathematical modelling of some biological bearings. – Smart Materials and Structures, Proc. 4th European and 2 nd MiMR Conference, Harrogate, UK, 6-8 July 1998, pp.519-525.
Khonsari M.M. and Dai F. (1992): On the mixture flow problem in lubrication of hydrodynamic bearing: small solid volume fraction. – STLE Trib. Trans., vol.35, No.1, pp.45-52.
Lipscomb C.C. and Denn M.M. (1984): Flow of Bingham fluids in complex geometries. – J. Non-Newt. Fluid Mech., vol.14, No.3, pp.337-349.
Dorier C. and Tichy J. (1992): Behaviour of a Bingham-like viscous fluid in lubrication flows. – J. Non-Newt. Fluid Mech., vol.45, No.3, pp.291-350.
Wada S. and Hayashi H. (1971): Hydrodynamic lubrication of journal bearings by pseudo-plastic lubricants. Pt 1, Theoretical studies, Pt 2, Experimental studies. – Bull. JSME, vol.14, No.69, pp.268-286.
Swamy S.T.N., Prabhu B.S. and Rao B.V.A. (1975): Stiffness and damping characteristics of finite width journal bearing with a non-Newtonian film and their application to instability prediction. – Wear, vol.32, pp.379-390.
Rajalingham C., Rao B.V.A. and Prabu S. (1978): The effect of a non-Newtonian lubricant on piston ring lubrication. – Wear, vol.50, pp.47-57.
Walicka A. (2002): Rotational Flows of Rheologically Complex Fluids in Thin Channels (in Russian). – Zielona Góra: University Press.
Walicki E. (2005): Rheodynamis of Slide Bearings Lubrication (in Polish). – Zielona Góra: University Press.
Christensen H. (1969-1970): Stochastic model for hydrodynamic lubrication of rough surfaces. – Proc. Inst. Mech. Engrs, vol.184, pt 1, pp.1013-1022.
Lin J.-R. (2000): Surfaces roughness effect on the dynamic stiffness and damping characteristics of compensated hydrostatic thrust bearings. – Int. J. Machine Tools Manufact., vol.40, pp.1671-1689.
Lin J.-R. (2001): The effect of couple stresses in the squeeze film behaviour between isotropic rough rectangular plates. – Int. J. Appl. Mech. Eng., vol.6, No.4, pp.1007-1024.
Bujurke N.M., Kudenatti R.B. and Awati V.B. (2007): Effect of surface roughness on squeeze film poroelastic bearings with special reference to synovial joints. – Mathematical Biosciences, vol.209, pp.76-89.
Prakash J. and Tiwari K. (1985): Effects of surface roughness on the squeeze film between rectangular porous annular disc with arbitrary porous wall thickness. – Int. J. Mech. Sci., vol.27, No.3, pp.135-144.
Walicka A. (2009): Surface roughness effects in a curvilinear squeeze film bearing lubricated by a power-law fluid, Int. J. Appl. Mech. Engng, vol.14, No.1, pp.277-293.
Walicka A. (2012): Porous curvilinear squeeze film bearing with rough surfaces lubricated by a power-law fluid. – Journal of Porous Media, vol.15, No.1, pp.29-49.
Walicka A. and Walicki E. (2002): Surface roughness effect on the pressure distribution in curvilinear thrust bearings. – Exploitation Problems of Machines, vol.131, No.3, pp.157-167.
Walicka A. and Walicki E. (2002): Couple stress and surface roughness effects in curvilinear thrust bearings. – Int. J. Appl. Mech. Engng, vol.7, Spec. Issue: SITC, pp.109-117.
Morgan V.T. and Cameron A. (1957): Mechanismus of lubrication in porous metal bearings. – Proc. Conf. on Lubrication and Wear, Inst. Mech. Eng., London 1957, pp.151-157.
Prakash J. and Tiwari K. (1984): An analysis of the squeeze film between rough porous rectangular plates with arbitrary porous wall thickness. – Journal of Tribology, Trans. ASME, vol.106, No.2, pp.218-222.
Gururajan K. and Prakash J. (1999): Surface roughness effects in infinitely long porous journal bearing. – Journal of Tribology, Trans. ASME, vol.121, No.1, pp.139-147.
Kraemer, E.O. and Williamson, R.V. (1929): Internal friction and the structure of „solvated” colloids. – J. Rheology, vol.1, No.1, pp.76-92.
Rabinowitsch, B. (1929): Über die Viskosität und Elastizität von Solen (On the viscosity and elasticity of sols). – Zeit. Phys. Chem., vol.A145, pp.1-26.
Rotem Z. and Shinnar R. (1961): Non-Newtonian flow between parallel boundaries in linear movements. – Chem. Eng. Sie., vol.15, pp.130-143.
Sharma S.C., Jain S.C. and Sah P.L. (2000): Effect of non-Newtonian behaviour of lubricant and bearing flexibility on the performance of slot-entry journal bearing. – Tribology Int., vol.33, pp.507-517.
Singh U.P., Gupta R.S. and Kapur V.K. (2011): On the steady performance of hydrostatic thrust bearing: Rabinowitsch fluid model. – Tribology Transactions, vol.54, pp.723-729.
Hashimoto H. and Wada S. (1986): The effects of fluid inertia forces in parallel circular squeeze film bearing lubricated with pseudoplastic fluids. – J. Tribology, vol.108, pp.282-287.
Lin J.-R. (2012): Non-Newtonian squeeze film characteristics between annular disks: Rabinowitsch fluid model. – Tribology Int., vol.52, pp.190-194.
Lin J.-R., Chu L.-M., Hung C.-R., Lu R.-F. and Lin M.-C. (2013): Effects of non-Newtonian rheology on curved circular squeeze film: Rabinowitsch fluid model. – Z. Naturforsch., vol.68a, pp.291–299.
Walicka A., Walicki E. and Ratajczak M. (1999): Pressure distribution in a curvilinear thrust bearing with pseudo-plastic lubricant. – Appl. Mech. Enging., vol.4 (sp. Issue), pp.81-88.
Walicka A., Walicki E. and Ratajczak M. (2000): Rotational inertia effects in a pseudo-plastic fluid flow between non-coaxial surfaces of revolution. – Proc. 4th Minsk Int. Heat Mass Transfer Forum (May 22-27, 2000 Minsk Belarus), pp.19-29.
Ratajczak M., Walicka A. and Walicki E. (2006): Inertia effects in the curvilinear thrust bearing lubricated by a pseudo-plastic fluid of Rotem-Shinnar. – Problems of Machines Exploitation, vol.44, pp.159-170.
Walicka A. and Walicki E. (2010): Performance of the curvilinear thrust bearing lubricated by a pseudo-plastic fluid of Rotem-Shinnar. – Int. J. Appl. Mech. Enging, vol.15, No.3, pp.895-907.
Walicka A and Jurczak P. (2013): Pressure distribution in a porous squeeze film bearing lubricated by a Vočadlo fluid. – Appl. Math. Modelling, vol.37, No.22, pp.9295-9307.
Walicka A. (2017): Rheology of Fluids in Mechanical Engineering. – Zielona Góra: University Press.
Christensen H. and Tønder K. (1971): The hydrodynamic lubrication of rough bearing surfaces of finite width. – ASME, J. Lubric. Technol., vol.93, No.2, pp.324-330.
Christensen H. and Tønder K. (1973): The hydrodynamic lubrication of rough journal bearings. – ASME, J. Lubric. Technol., vol.95, No.1, pp.166-172.
Rajalingham C., Rao B.V.A. and Prabu B.S. (1979): Steady state performance of a hydrodynamic journal bearing with a pseudo-plastic lubricant. – J. Lubric. Technol., vol.101, pp.497-502.
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