Abstract
Sintered metal porous media are widely used in a broad range of industrial equipment. Generally, the flow properties in porous media are represented by an incompressible Darcy‒Forchheimer regime. This study uses a modified Forchheimer equation to represent the flow rate characteristics, which are then experimentally and theoretically investigated using a few samples of sintered metal porous media. The traditional steady-state method has a long testing time and considerable air consumption. With this in mind, a discharge method based on an isothermal chamber filled with copper wires is proposed to simultaneously determine the permeability and inertial coefficient. The flow rate discharged from the isothermal chamber is calculated by differentiating the measured pressure, and a paired dataset of pressure difference and flow rate is available. The theoretical representations of pressure difference versus flow rate show good agreement with the steady-state results. Finally, the volume limit of the isothermal chamber is addressed to ensure sufficient accuracy.
Highlights
Air flow through porous media is universal in a broad range of engineering activity, which includes such diverse fields as pneumatics, filtration, soil mechanics, and petroleum engineering.Pressure drops occur when such porous media are connected in an air circuit because they involve extremely complicated flow channels
In the steady-state case, the permeability is first determined in the Darcy regime, and the inertial coefficient is determined in the Forchheimer regime with the resulting permeability
The instantaneous flow rate can be indirectly obtained thanks to the isothermal chamber, and the permeability and inertial coefficient can be simultaneously determined by Equation (4)
Summary
Air flow through porous media is universal in a broad range of engineering activity, which includes such diverse fields as pneumatics, filtration, soil mechanics, and petroleum engineering. Pressure drops occur when such porous media are connected in an air circuit because they involve extremely complicated flow channels. Some researchers have demonstrated the physics of flow through porous media. They modeled the flow behavior by a linear relation of pressure gradient versus flow velocity (Darcy regime) in cases where the flow is dominated by viscous effects. When the flow velocity becomes adequately large, they used a nonlinear relation to include the inertial effects [1,2,3,4,5,6]
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