Combined influence of couple stress lubricant,recess geometry and method of compensation on the performance of hydrostatic circular thrust pad bearing

Abstract

This study concerns with the theoretical investigation to show the influence of recess geometry and method of compensation on the performance of recessed hydrostatic circular thrust pad bearing operating with couple stress lubricant. Modified Reynolds equation for couple stress lubricant has been derived using Stokes microcontinuum theory. Stokes theory describes the behavior of fluids consisting of long chain polymer additives having sizes comparable to that of the fluid film thickness. Finite element method technique and commercially available software MATLAB 2013 have been used to solve the modified Reynolds equation and, thus, performance characteristics of bearing have been computed. The performance of capillary- and orifice-compensated hydrostatic thrust pad bearings performance have been compared vis-à-vis to different geometric shapes of recess. Each recess shape has identical ratio of bearing pad area to recess area. It has been observed that the couple stress additives have significant positive influence on the static and dynamic performance of the compensated hydrostatic thrust pad bearing provided that restrictors operates with lower values of the restrictor deign parameter $({CS ¯}_{2})$ . Limiting values of 10 and 5 for restrictor design parameter $({CS ¯}_{2})$ have been noticed for capillary and orifice restrictor; beyond these values of ${CS ¯}_{2}$ , use of couple stress lubricant on the performance of hydrostatic thrust pad bearing become insignificant.

Keywords

Hydrostatic thrust pad bearing couple stress restrictor recess geometry finite element method

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References

Khonsari

Booser

. Applied tribology: Bearing design and lubrication 2008; vol. 12, New York: John Wiley & Sons.

Rowe

. Hydrostatic and hybrid bearing design, New York: Elsevier, 2013.

Brown

. The dynamic characteristics of a hydrostatic thrust bearing. Int J Mach Tool Des Res 1961; 1: 157–171.

Osterle

Hughes

. Inertia-induced cavitation in hydrostatic thrust bearings. Wear 1961; 4: 228–233.

Sinhasan

Jain

. Lubrication of orifice-compensated flexible thrust pad bearings. Tribol Int 1984; 17: 215–221.

Sharma

Jain

Bharuka

. Influence of recess shape on the performance of a capillary compensated circular thrust pad hydrostatic bearing. Tribol Int 2002; 35: 347–356.

Koc

Hooke

. Considerations in the design of partially hydrostatic slipper bearings. Tribol Int 1997; 30: 815–823.

Gohara

Somaya

Miyatake

. Static characteristics of a water-lubricated hydrostatic thrust bearing using a membrane restrictor. Tribol Int 2014; 75: 111–116.

Howarth

. Effects of tilt on the performance of hydrostatic thrust pads. Proc Instn Mech Egrs 1970; 185: 717–723.

10.

Osman

Dorid

Safar

. Experimental assessment of hydrostatic thrust bearing performance. Tribol Int 1996; 29: 233–239.

11.

Sharma

Pandey

. Thermo hydrodynamic analysis of infinitely wide cycloidal profiled pad thrust bearing with rough surface and a comparison to plane profiled pad. Lubric Sci 2008; 20: 183–203.

12.

Spikes

. The behaviour of lubricants in contacts: current understanding and future possibilities. Proc IMechE, Part J: J Engineering Tribology 1994; 208: 3–15.

13.

Scott

Suntiwattana

. Effect of oil additives on the performance of a wet friction clutch material. Wear 1995; 181: 850–855.

14.

Wada

Hayashi

. Hydrodynamic lubrication of journal bearings by pseudo-plastic lubricants: Part 2, Experimental studies. Bull JSME 1971; 14: 279–286.

15.

Dareing

. Non-Newtonian effects of powder-lubricant slurries in hydrostatic and squeeze-film bearings. Tribol Trans 1994; 37: 836–842.

16.

Thakre

Sharma

Harsha

. A parametric investigation on the microelastohydrodynamic lubrication of power law fluid lubricated line contact. Proc IMechE, Part J: J Engineering Tribology. DOI: 1350650115575026.

17.

Ariman

Turk

Sylvester

. Microcontinuum fluid mechanics - a review. Int J Eng Sci 1973; 11: 905–930.

18.

Ariman

Turk

Sylvester

. Applications of microcontinuum fluid mechanics. Int J Eng Sci 1974; 12: 273–293.

19.

Eringen AC. Theory of micropolar fluids (No. RR-27). Purdue University, USA, 1965.

20.

Stokes

. Couple stresses in fluids. Phys Fluids 1966; 9: 1709–1715.

21.

Khatak

Garg

. Influence of micropolar lubricant on bearings performance: A review. Proc IMechE, Part J: J Engineering Tribology 2012; 226: 775–784.

22.

Rajput

Sharma

. Stability of a constant flow valve compensated multi‐recess conical hybrid journal bearing operating with micropolar lubricant. Lubric Sci 2014; 26: 347–362.

23.

Ramanaiah

Sarkar

. Squeeze films and thrust bearings lubricated by fluids with couple stress. Wear 1978; 48: 309–316.

24.

Ramanaiah

Sarkar

. Optimum load capacity of a slider bearing lubricated by a fluid with couple stress. Wear 1978; 49: 61–66.

25.

Ramanaiah

. Squeeze films between finite plates lubricated by fluids with couple stress. Wear 1979; 54: 315–320.

26.

Lin

. Static and dynamic characteristics of externally pressurized circular step thrust bearings lubricated with couple stress fluids. Tribol Int 1999; 32: 207–216.

27.

Sinha

Singh

. Couple stresses in the lubrication of rolling contact bearings considering cavitation. Wear 1981; 67: 85–98.

28.

Ahmad

Singh

. A model for couple-stress fluid film mechanism with reference to human joints. Proc IMechE, Part J: J Engineering Tribology 2007; 221: 755–759.

29.

Naduvinamani

Siddangouda

. Combined effects of surface roughness and couple stresses on squeeze film lubrication between porous circular stepped plates. Proc IMechE, Part J: J Engineering Tribology 2007; 221: 525–534.

30.

Naduvinamani

Siddangouda

. A note on porous Rayleigh step bearings lubricated with couple-stress fluids. Proc IMechE, Part J: J Engineering Tribology 2007; 221: 615–621.

31.

Naduvinamani

Fathima

Hanumagowda

. Magneto-hydrodynamic couple stress squeeze film lubrication of circular stepped plates. Proc IMechE, Part J: J Engineering Tribology 2011; 225: 111–119.

32.

Ruggiero

Senatore

. Approximate closed‐form solution for the dynamical analysis of short bearings with couple stress fluid. Lubric Sci 2007; 19: 247–267.

33.

Sinhasan

Sah

. Static and dynamic performance characteristics of an orifice compensated hydrostatic journal bearing with non-Newtonian lubricants. Tribol Int 1996; 29: 515–526.