ІRSTІ 28.17.31                                                                                        №4 (2019г.)

Urmatova A. N.

In heat and mass transfer towers the nozzle elements are plates, cylinders, spheres and other bodies. Gas or liquid entering the processing on these
devices undergo multi-stage interaction both with each other and with the boundaries of the channels and nozzles. Therefore, there is a problem of solving the corresponding modulating equations, a combination of numerical schemes of their solutions. In this case, the question of stability of the Navier-Stokes equations in the solution of Helmholtz variables, reflecting the laws of phase conservation and continuity motion, which are physically convenient and comfortable for the reflection of dynamic functions in a multistage channel, becomes particularly relevant. Thus, starting from any stage of communication, the propagation of dynamic characteristics stops the change. To solve the problem, we can get a practical conclusion: if we prove, for example, that the gas motion will be established after a certain stage n of the channel, then in the future we will not solve the corresponding equation, we can assume that the distribution will be the same, starting from the stage n+1. The use of this effect allows you to save the calculation work, especially for long multistage channels of complex shape.
Keywords: Navier-Stokes equations, Reynolds equations, Poiseuille flow, laminar regime, vorticity.