In order to strictly control the solid impurity particles of the pipeline and ensure the cleanliness of the pipeline of the gas supply system, a filter is installed on the pipeline before the inlet of the equipment to ensure the normal operation of the pipeline instrumentation and compressors. Since the flow of the fluid will impact the filter screen, the impact stress of the fluid on the filter screen is worth studying. However, the structure of the filter screen is complicated, so the filter screen is simplified for research. The present study adopts the dimensionless $\pi$ theorem to make the density, viscosity, flow velocity, and other factors of a gas-phase fluid and solid-phase fluid dimensionless and obtains an expression for the stress acting on a filter screen as a function of the fluid parameters. Then the numerical simulation is carried out using the finite element analysis software Fluent. By changing only the velocity of the fluid and changing only the mass flow rate of the solid impurity particles, numerical simulations show that the stress acting on the filter screen has a quadratic relation with the fluid flow velocity, the stress acting on the filter screen has a linear relation with the mass flow of the solid-phase fluid, which is consistent with the law embodied in the formula derived from the $\pi$ theorem. In addition, by comparing the stress acting on the filter screen traversed by different gas phase fluid media (i.e. air, CH₄, and N₂) under the same fluid flow conditions, it is found that effects of stress acting on the filter screen caused by different gas phase-fluids are different. All these results agree with theoretical predictions. These laws can play a guiding role in practical engineering applications in the future.

Highlights

• Based on the dimensionless $\pi$ theory, the expression about the stress of the strainer is derived.

• A simplified finite element model of partial filter screen is established.

• Using the finite element analysis software, the stress of the filter screen is obtained by changing the flow velocity of the fluid, the mass flow of the solid impurity particles and the different gas phase fluids.

• The filter screen can be protected from damage by controlling the flow parameters of the fluid.

为了严格控制管道中的固体杂质颗粒并确保供气系统管道的清洁度，在设备进口之前在管道上安装了过滤器，以确保管道仪表和压缩机的正常运行。由于流体的流动将影响滤网，因此流体在滤网上的冲击应力值得研究。然而，滤网的结构复杂，因此简化了用于研究的滤网。本研究采用无量纲$\pi$该定理使气相流体和固相流体的密度，粘度，流速和其他因子无量纲，并获得了根据流体参数作用在滤网上的应力的表达式。然后使用有限元分析软件Fluent进行数值模拟。通过仅改变流体的速度并仅改变固体杂质颗粒的质量流率，数值模拟表明，作用于滤网的应力与流体流速呈二次关系，作用于滤网的应力为与固相流体的质量流量呈线性关系，这与从公式推导的公式所体现的定律是一致的$\pi$定理。另外，通过比较在相同的流体流动条件下不同气相流体介质（即空气，CH ₄和N ₂）所遍历的作用在滤网上的应力，可以发现应力作用于滤网通过不同的气相流体是不同的。所有这些结果与理论预测相符。这些法律在将来的实际工程应用中可以起指导作用。

强调

• 基于无量纲 $\pi$ 从理论上讲，得出了关于过滤器应力的表达式。

• 建立了局部滤网的简化有限元模型。

• 使用有限元分析软件，可通过更改流体的流速，固体杂质颗粒的质量流量和不同的气相流体来获得滤网的应力。

• 通过控制流体的流量参数，可以保护滤网不受损坏。