Based on a macroscopic force balance analysis, an alytical solution in terms of dynamic contact angle is

obtained for steady velocity of a droplet driven by a shear flow and moving on the hydrophobic wall of a

microchannel. The multiphase free-energy 3-D Lattice Boltzmann method (LBM) is applied to simulate

the deformation of the droplet in order to obtain the dynamic contact angle of the moving micro-droplet

in the analytical solution. The droplet velocities predicted by the analytical solution are found in good

agreement with the LBM simulation results.-Based on a macroscopic force balance analysis, an analytical solution in terms of dynamic contact angle is

obtained for steady velocity of a droplet driven by a shear flow and moving on the hydrophobic wall of a

microchannel. The multiphase free-energy 3-D Lattice Boltzmann method (LBM) is applied to simulate

the deformation of the droplet in order to obtain the dynamic contact angle of the moving micro-droplet

in the analytical solution. The droplet velocities predicted by the analytical solution are found in good

agreement with the LBM simulation results.