Dry-shippers are cryogenic transport containers designed for the shipment of biomedical samples, in which liquid nitrogen is absorbed in a porous lining to comply with aviation safety regulations. There is a demand for improved lining materials, due to challenges related to cleaning and structural durability. Addressing these challenges and selecting new materials requires a comprehensive understanding of permeability and its accurate characterization. When a dry-shipper is initially at room temperature, charging it with liquid nitrogen causes substantial evaporation. The resulting volumetric expansion, by a factor exceeding 175, leads to a significant increase in gas flow velocity, and the associated viscous drag may influence the wicking behavior of the porous lining. Accurate modeling of this gas flow through porous media requires the incorporation of both the Klinkenberg and Forchheimer corrections, which account for gas slippage and inertial effects, respectively. These effects are typically predicted using the Knudsen and Reynolds numbers. However, our experimental findings demonstrate that both corrections are required, even in conditions where the Forchheimer correction is not predicted by conventional Reynolds number criteria. To investigate this discrepancy, the permeability of a porous lining material was experimentally characterized by measuring the pressure drop over a sample while varying nitrogen gas flow rates. The pressure gradient was modeled using the Darcy-Forchheimer equation, modified to include the Klinkenberg correction. Characteristic material parameters were obtained via curve fitting, using a Runge-Kutta method to integrate the pressure gradient. The analysis yielded an intrinsic permeability of 4.31 0.22 , a Forchheimer parameter of 1.58 0.04 , and a Klinkenberg parameter of 55.8 2.1 kPa. These results demonstrate that the Forchheimer number is a more reliable indicator of the onset of form drag in porous media than Reynolds number-based criteria, particularly for materials with complex microstructures. This highlights the importance of rigorously assessing inertial effects in porous materials with irregular pore geometries.
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