A filter is installed in a pipeline of a gas supply system before the inlet of equipment to strictly control solid impurity particles in the pipeline and thus ensure the cleanliness of the pipeline and the normal operation of pipeline instruments and compressors. Dimensionless π theorem is adopted to make the density， viscosity， flow velocity， and other factors of a gas-phase fluid and solid-phase fluid dimensionless， in order to acquire an expression of the strain acting on a filter screen. The numerical simulation is carried out with the finite element analysis software Fluent. On the one hand， by changing the fluid velocity， the strain value acting on the filter screen is obtained. The strain acting on the filter screen has a quadratic function with respect to the fluid flow velocity， which is consistent with the theoretically derived order of the fluid velocity. On the other hand， by changing the solid-phase fluid， the strain acting on the filter screen is a linear function of the mass flow of the solid-phase fluid， which is consistent with the theoretically derived order of the mass flow rate of the solid-phase fluid. The strain of the different gas-phase fluids （Air， CH4， and N2） under the same fluid flow conditions， it is found that different gas-phase fluids generate different effects on the strain acting on the filter screen， which is consistent with the theoretical results. Comparing the strain values of different materials of filter screens under the same flow condition， the strain acting on the filter screen decreases with the increase of the elastic modulus of filter screen material， which is consistent with the law in the theoretical results. It provides a theoretical guidance for protecting the filter screen by detecting the flow parameters of the fluid in the project， which can save the detection cost of the filter.