Effect of pressure dependent viscosity on squeeze film characteristics of micropolar fluid in convex curved plates

Abstract

In this paper, the effect of pressure dependent viscosity on the squeeze film characteristics between convex curved plates of a cosine form is presented. Micropolar fluid theory, which is a possible non-Newtonian model of a suspension of rigid particle additives, is applied to the study of the lubrication of cosine form convex curved plates. The modified Reynolds equation is solved for the fluid film pressure and then the cosine form by considering the exponential relationship in the viscosity variation. For iso-viscous lubricants, the effects of pressure dependent viscosities signify an increase in the values of the squeeze film pressure, the load capacity and the elapsed time. It provides useful information in designing the mechanisms of squeeze film plates for engineering application.

Keywords

Convex curved plates Pressure dependent viscosity Squeeze film Micropolar fluid

Get full access to this article

View all access options for this article.

References

Eringen

A. C.

: ‘Theory of micropolar fluids’, J. Math. Mech., 1966, 16, 1–18.

Allen

S. J.

and Kline

K. A.

: ‘Lubrication theory of micropolar fluids’, J. Appl. Mech., 1971, 38, 646–650.

Verma

P. D. S.

, Agrawal

V. K.

and Bhatt

S. B.

: ‘Porous inclined slider bearing lubricated with micropolar fluid’, Wear, 1979, 53, 101–106.

Das

, Guha

S. K.

and Chattapadhyay

A. K.

: ‘Theoretical analysis of stability characteristics of hydrodynamic journal bearing lubricated with micropolar fluid’, Proc. Inst. Mech. E J, J. Eng. Tribol., 2004, 218, 45–56.

Naduvinamani

N. B.

and Huggi

S. S.

: ‘Micropolar fluid squeeze film lubrication of short partial porous journal bearings’, Proc. Inst. Mech. E J, J. Eng. Tribol., 2009, 223, 1179–1185.

Naduvinamani

N. B.

and Siddangouda

: ‘On the performance of rough inclined stepped composite bearing with micropolar fluid’, J. Mar. Sci. Technol., 2010, 18, (2), 233–242.

Hays

D. F.

: ‘Squeeze films for rectangular plates’, ASME J. Basic Eng., 1963, 85, 243–246.

Murti

P. R. K.

: ‘Squeeze films in curved circular plates’, ASME J. Lubr. Technol., 1975, 97, 650–652.

Lin

J. R.

: ‘Pure squeeze film behaviour in a hemispherical porous bearing using the brinkman model’, STLE Tribol. Trans., 1996, 39, 769–778.

10.

Lin

J. R.

, Liao

W. H.

and Hung

C. R.

: ‘The effects of couple stresses in the squeeze film characteristics between a cylinder and a plane surface’, J. Mar. Sci. Technol., 2004, 12, 119–123.

11.

Rao

and Prasad

K. R.

: ‘Effect of viscosity slip and viscosity variation for lubrication of roller bearings’, Defence Sci. J., 2003, 53, 431–442.

12.

Lin

J. R.

: ‘Squeeze film characteristics between a sphere and flat plate couple stress fluid model’, Comput. Struct., 2000, 75, 73–80.

13.

Barus

: ‘Isothermals, iopiestics and iometrics relative of viscosity’, Am. J. Sci., 1893, 45, 87–96.

14.

R. F.

and Lin

J. R.

: ‘A theoretical study of combined effect of non-Newtonian rheology and viscosity pressure dependence in the sphere plates squeeze film system’, Tribol. Int., 2007, 40, 125–131.