Flows with condensation

Some simple flows with condensation are considered and their solutions given. For the vapor phase, the nonlinearity of the equations of motion and of heat diffusion, and of the equation of state, and the dissipation due to shear and volume viscosities are taken into account. For the liquid phase the density is assumed constant. At the interface, where condensation takes place, the velocity, the stress, and the temperature gradient are all discontinuous. The same approach can be used for flows with evaporation.