International Conference
"Modern Problems of Applied Mathematics and Mechanics: Theory, Experiment and Applications", devoted to the 90th anniversary of professor Nikolai N. Yanenko

Дармаев Т.Г.  

Numerical research of periodic regimes in blasius flow by finite-dimensional projection of Navier-Stokes equations

In the given work the method of invariant finite-dimensional projections of the Navier-Stokes equations developed by B.J.Skobelev is applied to a plane-parallel flow of a viscous incompressible liquid over a flat semi-infinite plate. Thus the initial-boundary problem for disturbances of main flow is reduced to finite-dimensional system of the ordinary differential equations which right parts are calculated from recurrent system of linear boundary problems. The received calculations show that in Blasius flow exists tangential bifurcation of periodic modes. Comparison of numerical results with experimental data is spent.