Abstract
A two dimensional channel flow in which a bubble adheres to one of the walls is studied computationally. The flow regime of interest here corresponds to very low Reynolds numbers. This allows us to model the flow using Stokes equations. The numerical method used is the boundary element method (BEM). A Tanner law is used to model the moving contact line dynamics. Both hydrophilic and hydrophobic channel walls are considered. The evolution of the bubble interface, pressure and velocity fields, and wall normal and shear stresses are studied for different values of inlet to outlet pressure ratios. The wall normal and shear stresses peak at the contact lines. It is shown that the horizontal force acting on the bubble approaches a constant value as the simulation progresses in time.
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