Mathematical model and simulation of gas flow through a porous medium in high breaking capacity fuses

We present a one-dimensional model to describe the gas flow and the heat transfer in high breaking capacity (HBC) fuses. The compressible Euler equations for perfect gas have been used as the basic flow model coupled with a porous medium model taking into account the mechanical interaction between the gas and the silica sand and the heat transfer between hot gas and cold silica sand. In addition, to describe the solid temperature evolution, we introduce the heat equation for the solid. The governing equations are discretized following a finite volume scheme coupled with a fractional step technique and the fluxes are evaluated using the Roe method. The computational fluid dynamics model is used for the numerical investigations of a gas-flow in a porous medium for HBC fuses.

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