A fluid film squeezed between two parallel plane surfaces

Abstract

We study the motion which results when a fluid film is squeezed between two parallel plane surfaces in relative motion. Particular attention is given to the special case where one surface is fixed and the other is rapidly accelerated from a state of rest to a state of uniform motion. The analysis is based in part on linear theory and in substance on a finite-difference analysis of the full nonlinear equations of motion.

Squeeze flow theory and applications to rheometry: A review

“…Brindley et al [39] have argued that-within the lubrication approximation-the assumption of parallel material planes is only justified for fluids with a power-law viscosity function. The effect of inertia on squeeze flow of Newtonian fluids was considered, among others, by Jackson [69] and by Hamza and MacDonald [53].…”

Effect of Hall Current on Mixed Convection Squeezing ThreeDimensional Flow in a Rotating Channel with Thermal Radiation and Heat Sources

“…The squeezing flow of a fluid was first introduces by Stefan [58], Following this work, many researchers have investigated such flow with different aspects. Numerical solution for a fluid film squeezed between two parallel plane surfaces have been reported by Hamza and Macdonald [24]. Domairry and Aziz [18] studied the squeezing flow of viscous fluid between parallel disks with suction or blowing analytically.…”

High‐Accuracy Multiscale Simulation of Three‐Dimensional Squeezing Carbon Nanotube‐Based Flow inside a Rotating Stretching Channel

“…Wang was the first one who developed squeezing flow between parallel plates in 1976 [2]. After him, Hamza and Macdonald [3] used a finite difference solution to study the twodimensional squeezed flow in 1981. Later on, a study of magnetohydrodynamic and moving boundaries effect on a squeezed fluid film was done [4,5].…”