TY  - JOUR
T1  - Squeeze flow of a piezoviscous fluid
A1  - Řehoř, Martin
A1  - Průša, Vít
JA  - Applied Mathematics and Computation
Y1  - 2016
VL  - 274
SP  - 414–429
M2  - doi: 10.1016/j.amc.2015.11.008
KW  - Navier slip boundary condition
KW  - no-slip boundary condition
KW  - piezoviscous fluid
KW  - spectral collocation
KW  - squeeze flow
KW  - surface tension
N2  - We investigate the squeeze flow of a piezoviscous fluid. The classical Navier–Stokes fluid model and the no-slip boundary condition on the plate–fluid interface implies the presence of the pressure singularity at the contact line. It can be conjectured that the same behaviour is present even for piezoviscous fluids. Consequently the pressure variation in the fluid could be large, and the pressure dependent viscosity could be important even if the piezoviscous coefficient is apparently small. We investigate this conjecture by means of numerical simulation based on a variant of the spectral collocation method. The numerical simulations indicate that the effects due to pressure dependent viscosity are for certain range of parameter values significant.
M1  - Preprint project = MORE
M1  - Preprint year = 2015
M1  - Preprint number = 10
M1  - Preprint ID = MORE/2015/10
ER  -