Abstract:
The problem of the development of hydrodynamic instability in a pipe at moderate Reynolds numbers for the flow of a viscous incompressible fluid is considered. Numerical simulation is performed on the basis of regularized or quasi-hydrodynamic equations. The simulation was carried out by the finite volume method implemented by the authors within the framework of an open source software package using parallel technologies. Within the framework of this approach, it is shown in a direct numerical experiment that random perturbations of the inlet velocity in a pipe attenuate for subcritical Reynolds numbers and lead to the formation of a turbulent regime for supercritical values. This result shows the prospects of using regularized equations of hydrodynamics as a new alternative model in calculations of laminar-turbulent transition in incompressible liquid and gas in pipeline systems, including estimates of the pipe resistance coefficient.
