ORIGINAL PAPER
Curvilinear Squeeze Film Bearing Lubricated with a Dehaven Fluid or with Similar Fluids
More details
Hide details
1
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):697-715
KEYWORDS
ABSTRACT
In the paper, the model of a DeHaven fluid and some other models of non-Newtonian fluids, in which the shear strain rates are known functions of the powers of shear stresses, are considered. It was demonstrated that these models for small values of material constants can be presented in a form similar to the form of a DeHaven fluid. This common form, called a unified model of the DeHaven fluid, was used to consider a curvilinear squeeze film bearing. The equations of motion of the unified model, given in a specific coordinate system are used to derive the Reynolds equation. The solution to the Reynolds equation is obtained by a method of successive approximations. As a result one obtains formulae expressing the pressure distribution and load-carrying capacity. The numerical examples of flows of the unified DeHaven fluid in gaps of two simple squeeze film bearings are presented.
REFERENCES (32)
1.
Walicka A. (1994): Micropolar Flow in a Slot Between Rotating Surfaces of Revolution. – Zielona Góra: TU Press.
2.
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.
3.
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.
4.
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.
5.
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.
6.
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.
7.
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.
8.
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.
9.
Walicka A. (2002): Rotational Flows of Rheologically Complex Fluids in Thin Channels (in Russian). – Zielona Góra: University Press.
10.
Walicki E. (2005): Rheodynamics of Slide Bearings Lubrication (in Polish). – Zielona Gora: University Press.
11.
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.
12.
Rabinowitsch B. (1929): Über die Viskosität und Elastizität von Solen (On the viscosity and elasticity of sols). – Zeit. Phys. Chem., A145, pp. 1-26.
13.
Rotem Z. and Shinnar R. (1961): Non-Newtonian flow between parallel boundaries in linear movements. – Chem. Eng. Sie., vol.15, pp.130-143.
14.
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.
15.
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.
16.
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.
17.
Lin J.-R. (2012): Non-Newtonian squeeze film characteristics between annular disks: Rabinowitsch fluid model. – Tribology Int. 52, pp.190-194.
18.
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.
19.
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.
20.
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.
21.
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.
22.
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.
23.
DeHaven E.S. (1959): Control valve design for viscous pseudoplastic fluids. – Ind. Eng. Chem., vol.51, No.7, pp.63A-66A.
24.
Ree T and Eyring H. (1995): Theory of non-Newtonian flow II, Solution system of high polymers. –J. Appl. Physics, vol.26, No.7, pp.793-809.
25.
Meter D.M. (1964): Tube flow of non-Newtonian polymer solutions: Part II. Turbulent flow. – AIChE Journal. vol.10, pp.881-884.
26.
Ellis S.B. (1927): Thesis, Lafayette College, Pa. Citted in: Matsuhisa S., Bird R.B. (1965): Analytical and numerical solutions for laminar flow of the non-Newtonian Elis fluid. - AiChE Journal, vol.11, No.4, pp.588-595.
27.
Reiner M. (1960): Deformation, Strain and Flow. – London: H.K. Lewis & Co..
28.
Philippoff W. (1942): Viscosität der Kolloide. – Dresden: T. Steinkopff.
29.
Peek R.L. and McLean S. (1931): Some Physical Concepts in Theories of Plastic Flow. – J. Rheol. vol.2, pp.377-384.
30.
Seely G.R. (1964): Non-Newtonian viscosity of polybutadiene solutions. – AIChE Journal, vol.10, No.1, pp.56-60.
31.
Ratajczak M., Walicka A., Walicki E. and Ratajczak P. (2006): Rheodynamics of lubrication of curvilinear thrust bearings with Ellis pseudoplastic fluid. – Scientific Problems of Machines Operation and Maintenance, vol.41, No.2, pp.147-158.
32.
Walicka A. (2017): Rheology of Fluid in Mechanical Engineering. – Zielona Góra: University Press.