Modeling One-Dimensional Incompressible Duct Flows

Abstract

-In this paper a Bond Graph methodology described in a previous contribution is used to model incompressible one-dimensional duct flows with rigid walls. Since the volumetric flow is independent of position, the balance equations can be simplified. The volumetric flow and a nodal vector of entropy are defined as Bond Graph state variables. The state equations and the coupling with the inertial and entropy ports are modeled with true bond graph elements.

True bond graph formulation for one-dimensional incompressible pipe flows: modeling and analytical benchmarks

“…In order to reintroduce the information lost in the averaging process, closure laws for wall momentum and heat transfer, as well as suitable profile correction factors, must be defined. Preliminary contributions related to the theory and applications were presented in conference papers [2,14].…”