The subjects of this paper are the hydrodynamics and heating by condensation of a free falling liquid jet. The considerations are based on conservation laws. The equations of continuity, momentum, and energy are integrated numerically, leading to distributions of velocity and temperature in the jet. It is shown that the velocity field in the jet is mainly influenced by the action of gravity. The jet shape obtained, numerically depends, among others, on the surface tension and can be well described by a relation derived from a simplified momentum equation. The temperature distribution in- the jet is similar to that in developing flows. It depends mainly on Reynolds and Prandtl numbers. On the basis of numerical results, a correlation for the mean jet temperature is recommended. This correlation describes experimental data from the literature satisfactorily.