This work is aimed at the theoretical study of the transport of the exciton polaritons in the microcavity ridges. The stationary Gross-Pitaevskii equation is used to model the dynamics of the polariton flows. Numerical solution allows us to predict various effects that can be addressed in the experiment, including the achievement of the spatially inhomogeneous phase profile of the polariton condensate and the possibility of the creation of stationary circularly polarized domains.