Non-Newtonian Squeeze Film Between Two Plane Annuli

1982 ◽  
Vol 104 (2) ◽  
pp. 275-278 ◽  
Author(s):  
A. F. Elkouh ◽  
N. J. Nigro ◽  
Y. S. Liou

An analysis is presented for the laminar squeezing flow of an incompressible power-law fluid between parallel plane annuli. The results obtained are based on the thin-film approximation, and negligible fluid-inertia. Analytic expressions for the load capacity of the squeeze film and its thickness-time relation are presented.

1984 ◽  
Vol 106 (2) ◽  
pp. 223-227 ◽  
Author(s):  
A. F. Elkouh

An analysis is presented for the laminar squeezing flow of a Newtonian in-compressible fluid between parallel plane annuli. Both local and convective inertia of the flow are considered in the analysis. Power series expansions in terms of pertinent flow parameters are used to obtain a solution of the equations of motion. Expressions for the pressure and load capacity are presented, and compared with those based on the assumption of inertialess flow.


1986 ◽  
Vol 108 (1) ◽  
pp. 80-85 ◽  
Author(s):  
A. F. Elkouh ◽  
N. J. Nigro ◽  
A. Glowacz

A generalization of the problem of laminar squeezing flow of a non-Newtonian fluid between plane annular surfaces is presented. The generalization considers the effect of difference in the pressures at the inner and outer boundaries. The fluid is assumed to be incompressible, and the non-Newtonian behavior of the fluid is described by a power-law model. Expressions for the pressure distribution and load capacity are presented along with tables that are used for obtaining numerical results.


1963 ◽  
Vol 85 (2) ◽  
pp. 243-246 ◽  
Author(s):  
Donald F. Hays

A theoretical analysis is made of the normal approach of flat and curved rectangular plates which are separated by a thin film of lubricant. Load capacity curves are presented and some typical pressure distributions are shown. The effect of surface curvature on the squeeze film generation is investigated.


2006 ◽  
Vol 39 (11) ◽  
pp. 1474-1481 ◽  
Author(s):  
Hsiao-Ming Chu ◽  
Wang-Long Li ◽  
Yuh-Ping Chang

Author(s):  
John A. Tichy

Fluid inertia forces are comparable to viscous forces in squeeze film dampers in the range of many practical applications. This statement appears to contradict the commonly held view in hydrodynamic lubrication that inertia effects are small. Upon closer inspection, the latter is true for predominantly sliding (rather than squeezing) flow bearings. The basic equations of hydrodynamic lubrication flow are developed, including the inertia terms. The appropriate orders of magnitude of the viscous and inertia terms are evaluated and compared, for journal bearings and for squeeze film dampers. Exact equations for various limiting cases are presented: low eccentricity, high and low Reynolds number. The asymptotic behavior is surprisingly similar in all cases. Due to inertia, the damper force may shift 90° forward from its purely viscous location. Inertia forces are evaluated for typical damper conditions. The effect of turbulence in squeeze film dampers is also discussed. On physical grounds it is argued that the transition occurs at much higher Reynolds numbers than the usual lubrication turbulence models predict.


Author(s):  
I. Radulescu ◽  
A.V. Radulescu ◽  
J. Javorova

The present paper proposes a new model for lubrication of the hip joint with hyaluronan solutions, considering the squeeze film process of non-Newtonian fluid between rigid spherical surfaces. The heological model that approximately describes the behaviour of the synovial fluid is the power law model. For the considered case, the pressure distribution, the load capacity, the film thickness and the friction coefficient have been determinated. The conclusions of the paper offer an explication to the development of the osteoarthritis and to the problems of the arthritic patients.


1993 ◽  
Vol 115 (1) ◽  
pp. 71-77 ◽  
Author(s):  
M. W. Johnson ◽  
S. Mangkoesoebroto

A lubrication theory for the power law fluid is developed and analyzed. Only the infinite width gap is considered. Considered is flow between rigid walls of arbitrary shape under combined Couette and squeezing motion with a pressure gradient. Equations appropriate to a thin film are derived by asymptotic integration of the three-dimensional equations of fluid mechanics. Further integration of these equations yields an algebraic equation for the pressure gradient. Working out the details of the structure of this equation enables us to develop a numerical algorithm for its solution. To illustrate the theory, it is used to calculate the pressure distribution for a parabolic slider bearing and the pressure gradient and velocity distribution when the mass flux is prescribed. The latter results are compared with results obtained earlier by Dien and Elrod (1983).


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