Performance characteristics of journal bearings (porous type): A coupled solution using Hartmann number and roughness parameter

Abstract

The influence of magnetic field and roughness factor on long journal (porous) bearing with heterogeneous slip/no-slip surface has been described in this paper. Assumptions of hydrodynamic lubrication theory and Navier slip relation were employed during the investigation, and the generalized Reynolds equation for the oil film pressure was obtained using appropriate boundary conditions and the expressions for pressure distribution and load-carrying capacity as a function of Hartmann number, permeability parameter, roughness parameter, and slip parameter were derived in integral forms. Integrals involved are evaluated by using Simpsons 1/3rd rule and Gauss quadrature 16-point formula in MATLAB code. Christensen stochastic process is adopted to study the roughness behavior. In the present analysis, it has been revealed that there is a noticeable escalation in the load-carrying capacity with the embodiment of magnetic field effect, which enables the journal (rotating part) to levitate inside the domain of bearing (stationary part) that indeed supports the lubricant performance.

Keywords

Heterogeneous surface journal bearing magnetic levitation surface roughness

Get full access to this article

View all access options for this article.

References

Agarwal

. Magnetic-fluid-based porous inclined slider bearing. Wear 1986; 107: 133–139.

Kuzma

. Magneto hydrodynamic squeeze films. J Basic Eng Trans ASME Ser 1964; 86: 441–444.

Nada

Osman . A static performance of finite hydrodynamic journal bearing lubricated by magnetic fluids with couple stresses. Tribol Lett 2007; 27: 261–268.

Kudenatti

Patil

Dinesh

, et al. Numerical study of surface roughness and magnetic field between rough and porous rectangular plates, London: Hindawi Publishing Corporation, 2013.

Rajashekar M and Kashinath B. Effect of surface roughness on MHD couple stress squeeze film characteristics between a sphere and a porous plane surface. In: Advances in tribology. London: Hindawi Publishing Corporation, 2012.

Fathima

Naduvinamani

Kumar

, et al. Derivation of modified MHD-stochastic Reynolds equation with conducting couple stress fluid on the squeeze film lubrication of porous rough elliptical plates. Int J Math Arch 2014; 5: 135–145.

Hsu

T-C

Chen

J-H

Chiang

H-L

, et al. Combined effects of magnetic fluid and surface roughness on long journal bearing lubricated with ferrofluid. J Marine Sci Technol 2014; 22: 154–162.

Kalavathi

Gururajan

Dinesh

, et al. Effect of surface roughness in a narrow porous journal bearing with a heterogeneous slip/no-slip surface. Int J Scient Innov Math Res 2014; 2: 944–959.

Kalavathi

Dinesh

Gururajan

. Influence of roughness on porous finite journal bearing with heterogeneous slip/no-slip surface. Tribol Int 2016; 102: 174–181.

10.

Kalavathi

Dinesh

Gururajan

. Numerical study of effect of roughness on porous long journal bearing with heterogeneous surface. J Nigerian Math Soc 2016; 35: 468–487.

11.

Kalavathi

Dinesh

Gururajan

. Numerical study of magnetic field on rough porous narrow journal bearing with heterogeneous surface. Mater Today: Proc 2017; 4: 10539–10543.

12.

Yuvaraja

Kalavathi

Dinesh

, et al. Effects of magneto hydrodynamic fluids in a narrow porous rough journal bearing. Int J Scient Innov Math Res 2018; 6: 7–15.

13.

Nagraj

Dinesh

Kalavathi

. Combined effect of electric field and magnetic field on electrohydrodynamic dispersion of macromolecular components in biological bearing. Defect Diffus Forum 2018; 388: 361–377.

14.

Navier

CLMH

. Memoires de l’ Academic Royale des sciences. de l’ Institute de France 1823; 1: 414–416.

15.

Prakash

Vij

. Load carrying capacity and time height relation for squeeze films between porous plates. Wear 1973; 24: 309–312.

16.

Christensen

. Stochastic model for hydrodynamic lubrication of rough surfaces Part 1. Proc Inst Mech Engrs 1969; 184: 1013–1026.

17.

Fortier

Salant

. Numerical analysis of a journal bearing with heterogeneous slip/no-slip surface. ASME - J Tribol 2005; 127: 820–825.

18.

Cameron

. Basic lubrication theory, 3rd ed. New York: John Wiley and Sons, 1981.

19.

Grewal BS. Higher engineering mathematics. 38th ed. New Delhi: Khanna Publishers, 2005.

20.

Jakobsson B and Floberg L. The finite journal bearing, considering vaporization. Transactions of Chalmers University of Technology Gothenburg, Report No. 190, 1957.

21.

Gururajan

Prakash

. surface roughness effects in infinitely long porous journal bearings. ASME J Tribol 1999; 121: 139–147.