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Mathematical Medicine and Biology 1990 7(4):231-243; doi:10.1093/imammb/7.4.231
© 1990 by Institute of Mathematics and its Applications
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The Effect of Couple Stresses in Squeeze Film Poro-elastic Bearings with Special Reference to Synovial Joints

N. M. BUJURKE1, S. G. BHAVI2 and N. B. NADUVINAMANI3

1Department of Mathematics, Kamatak University Dharwad 580003, India
2S.D.M. Engineering College Dharwad 580002, India
3Department of Mathematics, Kamatak University Dharwad 580003, India

In this paper, a theoretical study of squeeze film poro-elastic bearings with Stokes' couple stress fluid as lubricant is made. The analysis explains the working of poro-elastic bearings in general and describes the lubrication mechanism of synovial joints in particular. Compact closed form expressions for the fluid film pressure, load capacity, and approaching time as a function of film thickness during normal articulation of joints are obtained. It is observed that the bearings with couple stress fluid as lubricant provide significant load carrying capacity and ensure a delayed time of approach compared with viscous lubricants. The influence of elasticity is to increase the load capacity and yield a longer squeeze film time. A decrease in permeability of the bearing surface enhances the load capacity as well as the response time. This results in the efficient lubrication and proper functioning of synovial joints.


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