Packed bed pressure drop dependence on particle shape, size distribution, packing arrangement and roughness

Allen, K.G.; Backström, Theodor W. von; Kröger, D.G.

doi:10.1016/j.powtec.2013.06.022

Cited by 204 publications

(95 citation statements)

References 17 publications

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“…However, as described above, nonlinear flow at intermediate Reynolds numbers is laminar. Nevertheless, Ergun's (1952) relations work quite well for nonlinear flows in various kind of porous media and are, to a great extent, the most analyzed and used relationships (e.g., Sidiropoulou et al 2007;Li and Ma 2011;Allen et al 2013;Bagci et al 2014). Many variations on the Ergun relations for different kind of porous media with a wide range of Ergun constants A and B are addressed in the literature (e.g., Macdonald et al 1979;Fand et al 1987;Comiti and Renaud 1989).…”

Section: Empirical Relations For Estimation Of the Forchheimer Coeffimentioning

confidence: 99%

“…Note that for nonspherical particles, as well as an rougher particles this ratio decreases and, hence, the average characteristic pore length of the porous medium decreases (Allen et al 2013;Li and Ma 2011;Macdonald et al 1979). In general, it is challenging to determine the exact surface area of natural porous materials.…”

Section: Empirical Relations For Estimation Of the Forchheimer Coeffimentioning

confidence: 99%

“…Relationships to predict Forchheimer coefficients a and b are based on these two parameters (e.g., Ergun 1952;Macdonald et al 1979;Kovács 1981;Kadlec and Knight 1996;Sidiropoulou et al 2007). However, numerical simulations, as well as experimental studies, showed that the geometry of the pore structure have a large influence on flow behavior (e.g., Hill and Koch 2002;Li and Ma 2011;Allen et al 2013;Koekemoer and Luckos 2015). Here, we investigated the effect of nonlinear flow behavior empirically for granular porous media (filter sand) with various grain size distributions for a given reference median grain size (d 50 ) and compaction grade.…”

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confidence: 99%

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The Effect of Grain Size Distribution on Nonlinear Flow Behavior in Sandy Porous Media

et al. 2017

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The current study provides new experimental data on nonlinear flow behavior in various uniformly graded granular materials (20 samples) ranging from medium sands (d 50 > 0.39 mm) to gravel (d 50 = 6.3 mm). Generally, theoretical equations relate the Forchheimer parameters a and b to the porosity, as well as the characteristic pore length, which is assumed to be the median grain size (d 50 ) of the porous medium. However, numerical and experimental studies show that flow resistance in porous media is largely determined by the geometry of the pore structure. In this study, the effect of the grain size distribution was analyzed using subangular-subrounded sands and approximately equal compaction grades. We have used a reference dataset of 11 uniformly graded filter sands. Mixtures of filter sands were used to obtain a slightly more well-graded composite sand (increased C u values by a factor of 1.19 up to 2.32) with respect to its associated reference sand at equal median grain size (d 50 ) and porosity. For all composite sands, the observed flow resistance was higher than in the corresponding reference sand at equal d 50 , resulting in increased a coefficients by factors up to 1.68, as well as increased b coefficients by factors up to 1.44. A modified Ergun relationship with Ergun constants of 139.1 for A and 2.2 for B, as well as the use of d m − σ as characteristic pore length predicted the coefficients a and b accurately.

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Section: Empirical Relations For Estimation Of the Forchheimer Coeffimentioning

confidence: 99%

Section: Empirical Relations For Estimation Of the Forchheimer Coeffimentioning

confidence: 99%

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confidence: 99%

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The Effect of Grain Size Distribution on Nonlinear Flow Behavior in Sandy Porous Media

et al. 2017

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“…Many correlations are available in the literature and there is little agreement on any universal method that can be used to accurately predict the pressure gradient for non-spherical shapes. There has even been some dispute in the accuracy of Ergun's correlation for the prediction of spherical particles [14]. With the many factors that can come into play, it is of no surprise that there is considerable discrepancy between correlations.…”

Section: Discussionmentioning

confidence: 99%

Evaluation of Pressure Drop and Particle Sphericity for an Air-rock Bed Thermal Energy Storage System

et al. 2014

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“…There has been substantial progress made in quantifying the properties of biomass feedstock (Oginni et al, 2016;Olatunde et al, 2016) but the pressure drop and minimum fluidization velocity correlations developed for nonbiomass materials are still currently used for biomass feedstocks. This has resulted in difficulties in sizing and designing equipment and reactors for fluidizing biomass feedstocks (Allen et al, 2013;Koekemoer and Luckos, 2015;Kunii and Levenspiel, 1991). Therefore the main focus of this study is to develop reactor pressure drop and U mf equations that utilize the properties of and are suitable for biomass feedstocks.…”

Section: Introductionmentioning

confidence: 99%

Modified Ergun Equation for Airflow through Packed Bed of Loblolly Pine Grinds

Olatunde¹,

Fasina

2019

KONA

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Biomass grinds are typically non-spherical and are composed of particles with wide range of sizes that may vary up to 10× between the smallest and largest particle. Since fluidized bed system is often used to convert biomass into fuels, chemicals and products, the viscous and kinetic energy losses' coefficients in the Ergun equation were determined to incorporate these unique characteristics of biomass grinds. The revised Ergun's equation, validated using loblolly pine wood grinds, and data from other published work resulted in estimated Ergun's K 1 and K 2 coefficients of 201 and 2.7 respectively. In addition, the relative mean deviation between experimental and predicted pressure drop was in general better with the modified Ergun's equation when compared to the original Ergun's equation.

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Packed bed pressure drop dependence on particle shape, size distribution, packing arrangement and roughness

Cited by 204 publications

References 17 publications

The Effect of Grain Size Distribution on Nonlinear Flow Behavior in Sandy Porous Media

The Effect of Grain Size Distribution on Nonlinear Flow Behavior in Sandy Porous Media

Evaluation of Pressure Drop and Particle Sphericity for an Air-rock Bed Thermal Energy Storage System

Modified Ergun Equation for Airflow through Packed Bed of Loblolly Pine Grinds

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