This work investigates the special case of in-plane fluid flow of a Newtonian incompressible fluid at low Reynolds numbers across a paper-thin porous medium in a confined conduit. Fluid transport in sheets with these characteristics are used in emerging devices such as microscale paper-based analytical devices (μPADs) and “e-paper” displays. Darcy’s law is applied and tested to determine if experimentally measured pressures at two flow rates of 5 μL/min and 10 μL/min agree with predicted values. A test device was designed using kinematic design principles to ensure a deterministic 318 μm gap that directs prescribed flow, unidirectionally across porous filter paper. The paper used was Grade 50 Whatman filter paper with an average pore size of 2.7 μm. Pressure was measured along the direction of flow over a 125 mm distance by six pressure ports placed at uniform increments of 25 mm to determine a profile of pressure along the flow path. Measurements were recorded at discrete time intervals over a period up to 48 hours with at least four replicates. Experimental measurements of the pressure profile show a linear relationship as predicted by Darcy’s law, allowing material permeability to be calculated. Among replicates measured under the same set of controllable conditions, experimental data also show a nonlinear relationship. The nonlinearity suggests evidence of transition into an inertia region, providing insight into the factors and behavior of the Darcy-Forchheimer transition for this special case of porous media flow.
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ASME 2018 5th Joint US-European Fluids Engineering Division Summer Meeting
July 15–20, 2018
Montreal, Quebec, Canada
Conference Sponsors:
- Fluids Engineering Division
ISBN:
978-0-7918-5157-9
PROCEEDINGS PAPER
In-Plane Hydraulic Resistance Through Paper-Thin Porous Media Available to Purchase
Stefan Doser,
Stefan Doser
San José State University, San José, CA
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Sang-Joon John Lee
Sang-Joon John Lee
San José State University, San José, CA
Search for other works by this author on:
Stefan Doser
San José State University, San José, CA
Sang-Joon John Lee
San José State University, San José, CA
Paper No:
FEDSM2018-83262, V003T21A004; 8 pages
Published Online:
October 24, 2018
Citation
Doser, S, & Lee, SJ. "In-Plane Hydraulic Resistance Through Paper-Thin Porous Media." Proceedings of the ASME 2018 5th Joint US-European Fluids Engineering Division Summer Meeting. Volume 3: Fluid Machinery; Erosion, Slurry, Sedimentation; Experimental, Multiscale, and Numerical Methods for Multiphase Flows; Gas-Liquid, Gas-Solid, and Liquid-Solid Flows; Performance of Multiphase Flow Systems; Micro/Nano-Fluidics. Montreal, Quebec, Canada. July 15–20, 2018. V003T21A004. ASME. https://doi.org/10.1115/FEDSM2018-83262
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