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Model reduction of a direct spring-loaded pressure relief valve with upstream pipe
IMA Journal of Applied Mathematics
A mathematical model is developed of a spring-loaded pressure relief valve connected to a reservoir of compressible fluid via a single, straight pipe. The valve is modelled using Newtonian mechanics, under assumptions that the reservoir pressure is sufficient to ensure choked flow conditions. The usual assumptions of ideal gas theory lead to a system of first-order partial differential equations for the motion, energy and momentum of the fluid in the pipe. A reduced-order model is derived usingdoi:10.1093/imamat/hxu034 fatcat:lsr5m54muna53kcryadokeumbu