We consider an isothermal flow through two pipes; at the junction, the flow is modified by some devices, for instance a valve. We first provide a general mathematical framework to model the coupling conditions for the flow at both sides of the junction. A key feature in the modeling is the coherence; it is related to the chattering, i.e., the rapid switch on and off of a valve, which in turn is linked to the stability of the numerical schemes to find the solutions. We discuss the coherence of some models (for instance, for control valves), we provide numerical simulations showing the chattering, and finally give a procedure to eliminate it from a theoretical point of view.
Mathematical Modeling of Chattering and the Optimal Design of a Valve*
Rosini, Massimiliano D.;
2024-01-01
Abstract
We consider an isothermal flow through two pipes; at the junction, the flow is modified by some devices, for instance a valve. We first provide a general mathematical framework to model the coupling conditions for the flow at both sides of the junction. A key feature in the modeling is the coherence; it is related to the chattering, i.e., the rapid switch on and off of a valve, which in turn is linked to the stability of the numerical schemes to find the solutions. We discuss the coherence of some models (for instance, for control valves), we provide numerical simulations showing the chattering, and finally give a procedure to eliminate it from a theoretical point of view.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
