Analytical prediction for the steady-state behavior of a confined drop with interface viscosity under shear flow

The present study provides a comprehensive analytical prediction for the steady-state deformation and inclination angle of drops under shear flow, considering both confinement and interface viscosity. By merging the theories for confined and unconfined drops, the model accurately captures the behavior across a wide range of conditions, offering a robust tool for applications in complex fluids. Immersed boundary-lattice Boltzmann simulations were performed to further validate the results.