1D Modeling of Heat Transfer in Duct Networks Using Two-Ports

Abstract

Several engineering applications require formulating models to describe sound propagation inside ducts and duct networks. Two-port transfer matrix method is commonly used to describe the sound transmission along the system, the same theory was also used to model fluid flow inside pipe networks, and coupling these with the acoustic multiport models added more accuracy to the results. The fluid temperature inside each element in the system has to be known as it influences both the flow and acoustics calculations. One method to calculate the temperature distribution is to generate mean value models for the temperature gradient inside each element of the exhaust system, by integrating these 1D models into the two-port transfer matrix and applying the same calculation algorithms used in flow and acoustics calculations, a realistic model for the temperature drop along the system is obtained which can be used in flow and acoustics. This work intends to create mean value temperature models for different elements of exhaust systems, implement these models into a two-port transfer matrix form, verify them against FEM models and compare the results with real systems measurements