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Abstract. The most important parameter of a direct spring operated pressure relief valve is its capacity, which is the rated flow through the valve under conditions given by the corresponding industrial standard. There are several phenomena due to which dynamic instabilities may arise in the system, leading to dangerous oscillations and reduced flow rate. One of the causes of these instabilities is the acoustic coupling of the valve with its upstream piping, the mathematical background of which has already been thoroughly investigated by the researchers at our department. As a continuation of that work, this paper focuses on the engineering applications by proposing various valve disc geometries based on preliminary measurement results, and evaluating their dynamic stability performance in a wide range of parameters. Steady-state CFD computations were performed to determine the mass flow rate and force characteristics of the various valve discs. Through these quantities, the behaviour of each geometry was implemented into our one-dimensional coupled gas dynamical solver, which resolves the pipe dynamics using the one-dimensional continuity-, momentum-and energy equations. The valve itself is modelled as a one degree-of-freedom oscillator. Finally, the stability maps of each geometries were calculated using the gas dynamical model and it was shown that the shape of the fluid force function does indeed have a significant effect on the stable operating range. 7695

This paper presents two methods for modeling the response of a direct spring operated pressure relief valve: one approach uses one-dimensional gas dynamical equations coupled with the equation of motion of a one degree-of-freedom oscillator, while the other employs deforming mesh CFD simulations to fully resolve the flow field. We found that if the force and flow rate characteristics of the valve are implemented into the reduced order model, it yields approximately the same results as the CFD computations.Mathematical Subject Classification: 76N15, 76-04