Modeling the Non-Stationary Flow Through Pipelines: A Software Application to Solve the Navier-Stokes Equations

This paper presents modeling of non-stationary flow of petroleum through pipelines. The model uses the Navier-Stokes equations of mass and momentum conservation, with initial and boundary conditions. Numerical solution of partial differential equations, based on a finite difference scheme, is performed to simulate the flow in the following situations: flow through a pipe with a closed valve at the right end and ignoring friction factor, flow with friction and open valve and flow with friction with the valve closed. The application proposed in this paper is implemented in a visual programming environment CBuilder, with a friendly user interface and with accurate graphical simulation of flow phenomena.