Flow in Pipes Simulation Using Successive Substitution Method

Abstract

The aim of this paper is to present the implementation of mathematical model to simulate the flow of fluid and gas in pipes network consisted of a number of horizontal pipes of specified diameters and length, joined at a number of nodes, and to compute the pressure, the flow rate, and the direction of flow at each node. Such simulation allows predicting the behavior of the fluid network system under different conditions. Such prediction can be effectively used to give decisions regarding the design and the operation of the real system. This model adopt the successive substitution method as a numerical technique to solve non-linear equation using a fixed-point iteration.

Keywords: Flow in Pipes Network, Successive Substitution Method, Numerical Methods, Fixed Point Iterations.