2D hydrodynamic model of a mixing vessel for pitched-blade turbines operating in laminar range of motion is presented in the paper. In the model, the assumption was made that in the entire mixing vessel there was no distribution of any hydrodynamic value with an angle. The Navier-Stokes equations which take into account additional forces (friction drag and shape drag of the blade) acting upon each liquid element in the impeller region were solved. To verify the model, the power consumption and axial forces acting on the bottom and wall of the mixing vessel were measured in the study. Good agreement of experimental and model results was obtained. This model can be a basis for the construction of a similar model for helical ribbon impellers operating in the laminar regime.