The laminar squeeze flow of couple-stress fluids between a flat circular disc and an axisymmetric curved disc of arbitrary shape is taken into consideration. Based on the modified lubrication theory and the microcontinuum theory, the problem is solved analytically. The combined effects of fluid inertia forces, curvature and non-Newtonian couple stresses on the squeeze film behaviour are investigated through the variations in the Reynolds number, curvature and the couple stress parameters. Each of these effects and their combinations show a significant enhancement in the squeeze film behaviour and these are studied through their effects on the squeeze film pressure and the load carrying capacity of the fluid film as a function of time. It is understood that the operating life of the squeeze film discs are lengthened, especially for larger couple stress parameters, larger Reynolds numbers and concave nature of the curved discs.
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