Fig 9. Geometry of the microchannel modelled We have solved the incompressible Navier-Stokes equation (10) for the 2D domain illustrated in fig.9. ( )) ( v p v v t v (10) Where v is the velocity vector, p is the pressure, ρ is the density, and η is the viscosity. We also solved the mass continuity equation (11) along with the Navier-Stokes equation. ( ) 0 v t (11) All the boundaries were considered as no slip boundaries except for the inlet and outlet. The inlet and outlet were set as open boundaries with zero stress. The boundaries that define the polymer swelling were made into a moving mesh boundary. Here we have set the polymer swelling to move with a defined velocity of 150μm/s. We assume the channel width to be same as the height of the channel, which is 30μm: that is, a chamber volume of 135pL, which is swept by the polymer wave in 1s. Fig 10. Comsol simulation results showing velocity field of the fluid. 136
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