Squeeze film lubrication of coupled stress electrically conducting inertial fluids in wide parallel rectangular conjunctions subjected to a magnetic field

Abstract

The paper presents analytical solution of squeeze film characteristics in wide parallel rectangular conjunctions with incompressible electrically conducting couple stress fluids subjected to a magnetic field. Analytical expressions are obtained by combined solution of modified Reynolds equation and Stokes micro-continuum for couple stress fluids with averaged inertia. Various cases of magneto-hydrodynamic, conducting and non-conducting fluid characteristics with and without convective inertial contributions are investigated. It is shown that, in general, couple stress fluids enhance the load carrying capacity of the contact and inhibit the incidence of thin films which can result in direct contact of surfaces. Convective inertia also significantly improves the load carrying capacity. However, with impulsive loading the response time of couple stress fluids deteriorates relative to Newtonian lubricants on account of their increased viscosity. An important conclusion of the study is that magneto-hydrodynamic couple stress fluids are best suited to applications with high relatively steady load applications.

Keywords

Magneto-hydrodynamics squeeze film action couple stress fluid convective inertia Hartman number

Get full access to this article

View all access options for this article.

References

Furst

Gast

. Micromechanics of magnetorheological suspensions. Phys Rev E 2000; 61: 6732–6739.

Liao

Wang

. Semi active vibration control of train suspension systems via magnetorheological dampers. J Intell Mater Syst Struct 2003; 4(3): 161–172.

Wereley

Cho

Choi

. Magnetorheological dampers in shear mode. Smart Mater Struct 2008; 17(1): 015022–015022.

Khouane

Dyke

. Modeling and identification of a shear mode magnetorheological damper. Smart Mater Struct 2007; 16: 605–605.

Maki

Kuzma

. Magneto hydrodynamic lubrication flow between parallel plates. J Fluid Mech 1966; 26: 534–543.

Usha

Vimala

. Magneto hydrodynamic squeeze film characteristics between parallel circular plates containing a single central air bubble in the inertial flow regime. J Appl Mech 1999; 66: 1021–1023.

Lin

Liao

. Analysis of magneto-hydrodynamic squeeze film characteristics between curved annular plates. Ind Lubr Tribol 2004; 56: 300–305.

Lin

. Magneto-hydrodynamic squeeze film characteristics between annular discs. Ind Lubr Tribol 2001; 53: 66–71.

Agrawal

. Inertia effects in hydro magnetic inclined slider bearing. Jap J Appl Phys 1970; 9: 820–824.

10.

Anwar

Rodkiewicz

. Non uniform magnetic field effects in MHD slider bearings. ASME J Lubr Technol 1972; 94: 101–105.

11.

Gupta

Bhat

. An inclined porous slider bearing with a transverse magnetic field. Wear 1979; 55: 359–367.

12.

Ariman

Sylvester

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

13.

Ariman

Sylvester

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

14.

Stokes

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

15.

Ramanaish

Sarkar

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

16.

Ramanaish

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

17.

Lin

. Squeeze film characteristics of long partial journal bearings lubricated with couple stress fluids. Tribol Int 1997; 30: 53–58.

18.

Lin

. Couple-stress effects on the squeeze film characteristics of hemispherical bearings with reference to synovial joints. Appl Mech Eng 1996; 1: 317–332.

19.

Lin

Hung

. Averaged inertia principle for non-Newtonian squeeze films in wide parallel plates: Couple stress fluid. J Mar Sci Technol 2006; 14: 218–224.

20.

Das

. A study of optimal load-bearing capacity for slider bearing lubricated with couple stress fluids in magnetic field. Tribol Int 1998; 31: 393–400.

21.

Naduvinamani

Rajashekar

. MHD couple stress squeeze film characteristics between sphere and plane. Tribol Mater Surf Interf 2011; 5: 94–99.

22.

Hamrock

. Fundamentals of fluid film lubrication, New York: McGraw-Hill, 1994.