, Volume 40, Issue 3, pp 279-288

Squeeze flow between plane and spherical surfaces

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Abstract

Experiments are described in which a constant force F squeezed a fluid, either between two parallel circular plates, or between a plate and convex spherical lens. Newtonian fluids obeyed the relation of Stefan (1874) for plates, and the relation of Adams et al. (1994) for plate and lens. The non-Newtonian yield stress fluids Brylcreem, Laponite and Sephadex were squeezed between plates of various diameter D to attain a stationary separation h. Only for separations greater than h * (which depended on the fluid) did Brylcreem and Laponite obey the relation F/D 3 ∝ h −1 of Scott (1931) and give a yield stress in agreement with the vane method. For Sephadex the dependence of F/D 3 on h disagreed with Scott's relation, but varied as h −5/2 for h > 0.6 mm and h −3/2 for h < 0.6 mm. On rotating one plate in its plane the yield stress fluids at a fixed F suffered a marked decrease of h. This, and the existence of h *, are discussed in terms of the soft glassy material model of Sollich et al. (1997) and Sollich (1998). Brylcreem and Laponite were squeezed between a plate and lenses of various curvature and their yield stress obtained using the relation of Adams et al. (1994) was compared with measurements by plate-plate squeeze-flow and vane methods.

Received: 12 April 2000 Accepted: 26 October 2000