Scaling laws for spreading of a liquid under pressure

Abstract

We study squeeze flow of two different fluids (castor oil and ethylene glycol) between a pair of glass plates and a pair of perspex plates, under an applied load. The film thickness is found to vary with time as a power-law, where the exponent increases with load. After a certain time interval the area of fluid-solid contact saturates to a constant value. This saturation area, increases with load at different rates for different fluid-solid combinations.

Spreading of Non-Newtonian and Newtonian Fluids on a Solid Substrate under Pressure

“…We observe an interesting oscillation in the area of contact between the fluid and glass plate as a function of time. Earlier study of Newtonian fluids [3,4] did not show such behavior. Based on the experimental results we try to explain this phenomenon using fractional calculus, which is known to be an appropriate technique to study non-Newtonian, visco-elastic materials [5,6,7].…”

“…• Loading process (ii) In this case, the erratic noise is much reduced and clear oscillations are observed in figure (4). The oscillations die down after a few cycles to the equilibrium value ǫ ∞ .…”

“…Ethylene glycol has been studied earlier, together with other Newtonian fluids [3,4]. We have repeated the experiments, recording the video at 10 frames/sec and show the results here(figure( 6)) for comparison with the gels .…”

“…Variation in strain with time for different values of q from equation(4). An oscillatory behavior is seen, which dies down to the equilibrium value.…”

Spreading of fluids on solids under pressure: Slip and stick effects

“…We now look at a simple extension of the problem -what happens if the fluid is forced to spread beyond its equilibrium area, under a constant weight placed on top of it. A preliminary report was published by our group in [7].…”