Film flow of nonlinear-viscoelastic fluid over the surface of a rotating curvilinear extension piece has been considered with account for the lag. The rheological model used is that of White–Metzner. The problem has been solved by the method of integral relations with the use of the von Karman (κ = 0) and Leibenson (κ = 1) approximations. Two algebraic equations with two unknowns have been obtained realized by the method of iterations. Experimental data are given.

There are carried out numerical calculations of gas absorption liquid film, spreading on the surface of a rotating mass-transfer device, taking into account the resistance of momentum transfer and gas environment mass. In the solution the method of integral equations and the fourth generations boundary conditions were used. At the end we obtained the calculated dependences for determining the thickness of liquid film, diffusion boundary layers in gas and liquid, which allow to calculate all the characteristics of the flow and mass-transfer phase of the system.