Effect of viscosity variation on non-Newtonian lubrication of squeeze film conical bearing having porous wall operating with Rabinowitsch fluid model

Abstract

In this study, the effect of viscosity variation of non-Newtonian lubrication on squeeze film characteristics with porous and Rabinowitsch fluid for conical bearings is analyzed. The modified Reynolds equation representing the characteristics of non-Newtonian fluid with viscosity variation on the porous wall followed by the cubic stress law condition is invoked. For lubricant flow in a bearing clearance and in a porous layer Morgan–Cameron approximation is considered. A small perturbation technique is used to compute the pressure generation using modified Reynolds equation of lubrication. Approximate analytical solutions have been obtained for the squeeze film pressure, load-carrying capacity, squeeze film time, and center of pressure. The outcomes are displayed in diagrams and tables, which show that the effect of viscosity variation and porous wall on the squeeze film lubrication of conical bearings decreases film pressure, load-carrying capacity, and response time for the Newtonian case in comparison to the non-Newtonian case.

Keywords

Conical bearing porous Rabinowitsch model squeeze film non-Newtonian fluid

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References

Moore

. A review of squeeze films. Wear 1965; 8: 245–263.

Wada

Hayashi

. Hydrodynamic lubrication of journal bearings by pseudo-plastic lubricants: Part 1, theoretical studies. Bull JSME 1971; 14: 268–278.

Hashimoto

Wada

. The effects of fluid inertia forces in parallel circular squeeze film bearings lubricated with pseudo-plastic fluids. J Tribol 1986; 108: 282–287.

Usha

Vimala

. Fluid inertia effects in a non-Newtonian squeeze film between two plane annuli. J Tribol 2000; 122: 872–875.

Singh

. Application of Rabinowitsch fluid model to pivoted curved slider bearings. Arch Mech Eng 2013; 60: 247–267.

Hsu

Lin

Mou

et al.

Squeeze film characteristics of conical bearings operating with non-Newtonian lubricants–Rabinowitsch fluid model. Ind Lubr Tribol 2014; 66: 373–378.

Morgan VT and Cameron A. Mechanism of lubrication in porous metal bearings. In: Proceedings of the conference on lubrication and wear, Institution of Mechanical Engineers, London, UK, 1957, pp.151–157.

Wada

Nishiyama

Nishida

. Modified Darcy’s law for non-Newtonian fluid. Bull JSME 1985; 28: 3031–3037.

Deheri

Patel

. Magnetic fluid-based squeeze film between rough porous truncated conical plates. Proc IMechE, Part J: J Engineering Tribology 2007; 221: 515–524.

10.

Shah

Patel

. Squeeze film based on ferrofluid in curved porous circular plates with various porous structure. Appl Math 2012; 2: 121–123.

11.

Elsharkawy

Al‐Fadhalah

. Squeeze film characteristics between a sphere and a rough porous flat plate with micropolar fluids. Lubr Sci 2011; 23: 1–18.

12.

Fathima

Naduvinamani

Marulappa

. Hydromagnetic squeeze films between porous rectangular plates with couple stress fluids. Tribol Online 2012; 7: 258–266.

13.

Walicka

Walicki

Jurczak

et al.

Curvilinear squeeze film bearing with porous wall lubricated by a Rabinowitsch fluid. Int J Appl Mech Eng 2017; 22: 427–441.

14.

Rao

Prasad

. Effects of velocity-slip and viscosity variation for lubrication of Roller Bearings. Defence Sci J 2003; 53: 431–431.

15.

Sinha

Chandra

Bhartiya

. Thermal effects in externally pressurized porous conical bearings with variable viscosity. Acta Mech 2001; 149: 215–227.

16.

Jaya

CRG

Eswara

Rama

KPK

. Effect of viscosity variation on the squeeze film performance of a narrow hydrodynamic journal bearing operating with couple stress fluids. Proc IMechE, Part J: J Engineering Tribology 2008; 222: 141–150.

17.

Wilcock

Pinkus

. Effects of turbulence and viscosity variation on the dynamic coefficients of fluid film journal bearings. J Tribol 1985; 107: 256–261.

18.

Sinha

Singh

Prasad

. Effect of viscosity variation due to lubricant additives in journal bearings. Wear 1981; 66: 175–188.

19.

Siddangouda

Biradar

Naduvinamani

. Combined effects of surface roughness and viscosity variation due to additives on long journal bearing. Tribol-Mater Surf Interf 2013; 7: 21–35.