Error of Darcy's law for serpentine flow fields: An analytical approach

Zhang, Xuyang; Zhang, Xu; Taira, Hidetaka; Liu, Hongtan

doi:10.1016/j.ijhydene.2018.02.070

Cited by 21 publications

(9 citation statements)

References 40 publications

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“…The applicable conditions of Darcy's law from theoretical analysis including: (1) temperature kept constant during the whole infiltration process, (2) infiltration flow kept laminar flow during the whole infiltration process, (3) porous medium is homogeneous and isotropic, and (4) infiltration rate and hydraulic gradient conforming to linear relationship (Zhang et al 2018), which is different with infiltration of PBPs. The surface layer of PBPs is non-homogeneous which consists of brick and brick joints.…”

Section: Resultsmentioning

confidence: 99%

Comparison between different infiltration models to describe the infiltration of permeable brick pavement system via a laboratory-scale experiment

Song

Wang

et al. 2021

Water Science and Technology

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Permeable brick pavement system (PBPs) is one of a widely used low impact development (LID) measures to alleviate runoff volume and pollution caused by urbanization. The performance of PBPs on decreasing runoff volume is decided by its permeability, and it was general described by hydraulic conductivity based on Darcy's law. But there is large error when using hydraulic conductivity to describe the infiltration of PBPs, and which infiltration process is not following to the Darcy's law, so it is important to found a more accurate infiltration models to describe the infiltration of PBPs. The Horton, Philip, Green-Ampt, and Kostiakov infiltration models were selected to found an optimal model to investigate infiltration performance of PBPs via lab-scale experiment, and the maximum absolute error (MAE), Bias, and coefficient of determination (R2) were selected to evaluate the models' errors via fitting with experiment data. The results showed that the fitting accuracy of Kostiakov, Philip, and Green-Ampt models was significantly affected by the monitoring area and hydraulic gradients. Meanwhile, Horton model is fitting well (MAE = 0.25–0.32 cm/h, Bias = 0.07–0.11 cm/h, and R2 = 0.98–0.99) with the experiment data, and the parameters of Horton model often can be achieved by monitoring, such as the maximum infiltration rate and the stable infiltration rate. Therefore, the Horton model is an optimal model to describe the infiltration performance of PBPs, which can also be adopt to evaluate hydrological characterization of PBPs.

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Section: Resultsmentioning

confidence: 99%

Comparison between different infiltration models to describe the infiltration of permeable brick pavement system via a laboratory-scale experiment

Song

Wang

et al. 2021

Water Science and Technology

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“…The occurrence of water slugs in the MPS or in the channel is to change this balance, then the significance of each transport phenomenon [19,20]. In particular, the significance of by-passing flow (or underland cross-flow) in single serpentine configuration has been investigated by various modelling works or by experimental determination [20][21][22]. This side transport phenomenon corresponding to in-plane transport was shown to be significant for GDL through-plane permeability larger than 10 -13 m 2 [20], which is the case of most macroporous GDLs.…”

Section: Introductionmentioning

confidence: 99%

Estimation of through-plane and in-plane gas permeability across gas diffusion layers (GDLs): Comparison with equivalent permeability in bipolar plates and relation to fuel cell performance

Mukherjee

Bonnet

Lapicque

2020

International Journal of Hydrogen Energy

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“…The resultant orientated slit pores account for the enhanced overlap of neighboring pores in film-thickness direction, contributing to the shorter diffusion length and higher flux. According to Darcy's law (Equation ( 3)) [33,34], the flux shows linear dependence on the separation area.…”

Section: Resultsmentioning

confidence: 99%

“…According to Darcy’s law (Equation (3)) [ 33 , 34 ], the flux shows linear dependence on the separation area.

where A , k , P i , P f , μ and L are the available testing area, coefficient of permeability, pressure of input, pressure of output, viscosity, and diffusion length of fluid, respectively.…”

Section: Resultsmentioning

confidence: 99%

Wrinkled CNTs@PLLA Composite Membranes for Enhanced Separation Performance

Chen²,

Yin

et al. 2022

Membranes

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To break the trade-off effect between permeability and selectivity in separation, wrinkled carbon nanotubes@polylactic acid (CNTs@PLLA) composite membranes were successfully fabricated in this work. On pre-deformed PLLA membranes, CNTs were loaded by filtrating their suspension, followed by releasing the PLLA upon heating based on its shape memory effect. The asynchronous deformations of CNTs and PLLA layers produced wrinkled CNTs@PLLA composite membranes. Relative to the reference without wrinkles, the attained wrinkled composite membranes exhibit much higher flux (~12 times) without any loss of rejection ratio during the separation of water-in-hexadecane emulsion. The significant improvement of separation performance can be attributed to the following issues: Firstly, the existence of wrinkles results in higher surface roughness, providing an additional driving force for separation resulting from the enlarged contact-angle difference between water and oil; Secondly, the shrinkage of the supporting PLLA layer during recovery induces the preferred alignment of CNTs along the wrinkle direction, which is the reason for the orientated slit pores with enhanced overlap of neighboring pores in the film-thickness direction; Finally, a wrinkled surface significantly increases the available area for separation. The synergism of the effects discussed above contributes to much higher permeability and comparable selectivity relative to the reference.

show abstract

Error of Darcy's law for serpentine flow fields: An analytical approach

Cited by 21 publications

References 40 publications

Comparison between different infiltration models to describe the infiltration of permeable brick pavement system via a laboratory-scale experiment

Comparison between different infiltration models to describe the infiltration of permeable brick pavement system via a laboratory-scale experiment

Estimation of through-plane and in-plane gas permeability across gas diffusion layers (GDLs): Comparison with equivalent permeability in bipolar plates and relation to fuel cell performance

Wrinkled CNTs@PLLA Composite Membranes for Enhanced Separation Performance

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