Rotating rolls are used to apply liquids as thin films to paper or other materials which are utilized as films. In this contribution a numerical method is applied which solves the pulse balance with the support of FEM, taking free surfaces into consideration. The coupled energy equation is solved on the basis of the Boundary Element Method (BEM). influential physical units are summarized in the friction number the capillary number the Reynolds number; the Stokes number and the length ratio. The influence of the physical entities is investigated and the calculated pressure-, velocity-, tension-, and temperature fields are displayed graphically. A temperature gradient superimposed to the current between the roll surfaces permits an additional influence on the current field and the coating thickness. The results of the numerical calculations are summarized in an empirical approximation equation.