Wavy Film Flow Down a Vertical Plate:Comparisons between the Results of Integral Approaches and Full-Scale Computations

摘要

This paper is devoted to a theoretical analysis of nonlinear two-dimensional waves using theNavier-Stokes equations in their full statement.Steady-state travelling wave regimes have been found and ananalysis of their linear stability has been carried out.It is shown that the flow regimes obtained using theNavier-Stokes equations are qualitatively different from the solutions of Shkadov's integral approach startingfrom some values of the Kapitza number.It is also found that the wave regimes of the Navier-Stokes equationshave an internal vortex at moderate Reynolds numbers.The results obtained using "the regularized integralmodel"are in excellent agreement with the Navier-Stokes calculations for Re/Ka≤2.Unlike the solutionsfound using an integral approach,it is shown that only a few types of nonlinear waves exist when the fullNavier-Stokes equations are considered