Non-Newtonian thin films with normal stresses: dynamics and spreading
Arezki Boudaoud
Abstract
The dynamics of thin films on a horizontal solid substrate is investigated in the case of non-Newtonian fluids exhibiting normal stress differences, the rheology of which is strongly non-linear. Two coupled equations of evolution for the thickness of the film and the shear rate are proposed within the lubrication approximation. This framework is applied to the motion of an advancing contact line. The apparent dynamic contact angle is found to depend logarithmically on a lengthscale determined solely by the rheological properties of the fluid and the velocity of the contact line.
Create a lesson
Related papers
High-order stabilized matrix-free simulation of rotating mixing devices using the Mortar Element Method
B. Campos, P. Munch, V. O. Ferreira et al.
How well can Diffusion Models learn Lagrangian-Tracer Statistics in Non-reciprocal Turbulence?
Pratyush Jha, Biswajit Maji, Rahul Pandit
Dynamical slowdown, bottlenecks, and multiscaling in Voigt-regularised turbulence
Anikat Kankaria, Bikram Pal, Edriss S. Titi et al.
Energy transfer and scale organisation in dense canopy turbulence
Riccardo Bertoncello, Alessandro Chiarini, Giulio Foggi Rota et al.
Stochastic Transport and Wave Interactions for Multiscale Surface Gravity Waves: Part II: Kinetic Theory and Ocean-Wave Applications
E. Mémin, B. Chapron, A. Debussche et al.
High-resolution in situ analysis of biomass pyrolysis by combining quantitative synchrotron μCT and 3D particle-resolved simulations
Emeric Boigné, Mohamed M. Ahmed, Collin Foster et al.