In the present study, the numerical simulation of lateral migration of a three-dimensional deformable bubble in a compound laminar Couette and Poiseuille flow is studied at finite Reynolds numbers. The Navier-Stokes equations are solved for incompressible fluids using a finite-difference method on a regular, fixed, and staggered grid. Interface is tracked explicitly by connecting marker points through a front-tracking method on a triangular moving grid. The effects of surface tension are also accounted for by adding an appropriate source term to the governing equations. The results show that a bubble, regardless of its original position, will be fixed in an equilibrium position between the wall and the centerline of channel. It is observed that by increase of the bubble radius, the bubble migrates to an equilibrium position closer to the centerline. Negative pressure gradient causes that the deformation of bubble increases, so it reaches a steady-state position closer to the center line.
