- Conservation equations for one-dimensional systems: continuity, momentum, energy, and advection equation. - Network topology and graph representation using the incidence matrix. - Matrix formulation of mass, momentum, and energy transport in network systems. - Steady-state and transient models. - Numerical methods for the solution of network equations. - Applications, including (but not limited to): district heating networks; building ventilation systems; tunnel ventilation systems; transmission and/or distribution system of natural gas (with injection of hydrogen and/or biomethane). It will be discussed how the proposed methods can be applied and extended to a wide range of networked systems.

Basic knowledge of thermodynamics and thermo-fluid dynamics.

This course introduces the fundamentals and applications of fluid dynamics and heat transfer in systems that can be modeled as one-dimensional networks. In these systems, each branch is represented as a lumped 1D element, and the overall structure is described using graph theory. The course provides the theoretical and computational tools required to estimate key quantities such as pressure, temperature, density, velocity, mass flow rates, and chemical species concentrations in complex networked systems. The graph-based formulation enables a systematic and scalable analysis of large interconnected infrastructures. This approach is relevant to a wide range of engineering applications, including compressed air systems, water distribution networks, low, medium, and high-pressure gas networks, district heating systems, building ventilation, and large-scale underground infrastructures such as highway and railway tunnels and mining systems, as well as fire protection networks. Special attention is given to the coupling between network models and continuous models through multi-scale approaches (e.g., 1D-3D coupling). The analytical foundations required for model formulation are developed during the course, together with numerical techniques for the solution of the resulting systems.

In presenza

Presentazione orale - Sviluppo di project work in team

P.D.2-2 - Marzo