Abstract

In the paper we solve the problem of transporting viscous weakly compressible liquid through the pipeline of the circular cross-section under non-stationary conditions. This paper is based on previous author’s results, presented on WS of XIII MTM Congress.

The Navier-Stokes equations are the basis for mathematical model. The liquid kinematic viscosity and its density are considered to be weakly changing with time. The non-stationarity is caused by specific boundary conditions, depending on time. The obtained results allow to optimize the control of a viscous weakly compressible liquid flows in the pipeline systems.