Squeeze film analysis of a shear thinning fluid drop: Power-law versus Ellis fluid models

Tuesday, March 27, 2018 - 3:20pm - 3:50pm
Lind 305
Thomas Ward III (Iowa State University)
A drop of viscous-shear thinning fluid is squeezed between parallel-plane walls due to gravity. The liquid drop partially wets each surface with constant contact angle. A constant load of magnitude, F, applies a force that squeezes the drop until a critical time after which it begins to spread due to capillary pressure. The squeezed drop is examined both experimentally and theoretically for gap spacing smaller than the capillary length. A semi-analytical solution using a power-law fluid model for the drop's radial displacement rate is derived for small Reynolds and capillary numbers. Solutions obtained using a power-law fluid model are then compared with numerical solutions using an Ellis fluid model under similar conditions. Experiments are performed and these results are compared with each fluid model to determine which one provides better agreement with the drop's radial displacement rate.