Squeeze flows of apparently lubricated thin films

Squeeze flow theory and applications to rheometry: A review

“…The major weakness in their approach was that they assumed the form of the velocity fields as the starting point for the model, which is a common feature of many approaches that use the lubrication approximation (see above). In fact the error inherent in this assumption is small-order of the slenderness ratio squared [87] and they found good agreement between their simulations and the approximate model. Interestingly, they argued that the free surface condition of vanishing radial normal stress is more important than the shear stress continuity at the fluid-fluid interface.…”

“…This can be important for real systems where the dimensionless group describing the flow regime is a strong function of the current sample geometry and hence of time. In general a well lubricated system will evolve into a poorly lubricated system if enough time has elapsed, and hence it must pass from S 1 at small times to S 1 at long times.This effect was taken into account by Burbidge and Servais [87], who found an exact solution to the low Re flow of two Newtonian films by eigenfunction expansion. Interfacial stress matching of the two films led to a pair of coupled non-linear ODEs governing the evolution of the two films.…”

Squeeze film lubrication between circular stepped plates of couple stress fluids

“…The unsteady flow between two parallel discs with arbitrary varying gap width was studied by Ishizawa (1966). The squeeze film with Newtonian lubricants has been studied by several investigators (Jackson, 1963;Burbidge and Colin, 2004;Gupta and Gupta, 1977). The Rayleigh step-bearings with non-Newtonian fluids have been studied by many researchers (Hughes, 1963;Bujurke et al, 1987;Maiti, 1973;Elkouh and Der-Fa, 1991).…”

Rheology of food materials

“…The use of squeeze flow rheometry to overcome yielding and slippage as well as special squeeze flow devices such as inverted filament stretching setups to study bi-axial elongational flow have been discussed recently [68][69][70][71]. It is important to memorize that while squeezing flow between a pair of parallel discs or a plate and a sphere seems to be a simple experiment, the choice of the appropriate model, data analysis and boundary conditions (slip or no slip, rough or smooth surface, ...) is extremely important and the wrong choice can easily ruin entire set of experiments.…”