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Title: Characterization of Grain‐Size Distribution, Thermal Conductivity, and Gas Diffusivity in Variably Saturated Binary Sand Mixtures

Abstract

Core Ideas Parameterized models are relevant to applications where different porous media mixtures are used. Models include a grain‐size distribution function to describe bimodal behavior for binary mixtures. Improved model describes observed thermal conductivity–saturation relations for binary mixtures. Combined Buckingham–Penman model used to describe observed gas diffusivity–air content relations. This work is relevant for proper simulation of mixed porous media. Characterization of differently textured porous materials, as well as different volumetric porous media mixtures, in relation to mass and heat transport is vital for many engineering and research applications. Functional relations describing physical (e.g., grain‐size distribution, total porosity), thermal, and gas diffusion properties of porous media and mixtures are necessary to optimize the design of porous systems that involve heat and gas transport processes. However, only a limited number of studies provide characterization of soil physical, thermal, and gas diffusion properties and the functional relationships of these properties under varying soil water contents, especially for soil mixtures, complicating optimization efforts. To better understand how mixing controls the physical, thermal, and gas diffusion properties of porous media, a set of laboratory experiments was performed using five volumetric mixtures of coarse‐ and fine‐grained sand particles. For each mixture, the grain‐size distribution (GSD),more » thermal conductivity, and gas diffusivity were obtained and parameterized using existing and suggested parametric models. Results show that the extended, two‐region Rosin–Rammler particle‐size distribution model proposed in this study could successfully describe the bimodal behavior of the GSD of binary mixtures. Further, the modified Côté and Konrad thermal conductivity model adequately described the thermal conductivity–water saturation relations observed in different mixtures. The proposed simple soil‐gas diffusivity descriptive model parameterized the upper limit, average, and lower limit behavior in gas diffusivity–air content relations in apparently texture‐invariant gas diffusivity data. Results further show a close analogy between gas diffusivity and thermal conductivity and their variation with saturation across different binary mixtures. Overall, the results of the study provide useful numerical insight into the physical, thermal, and gas transport characteristics of binary mixtures, with wide implications for future engineering and research applications that involve multicomponent porous systems.« less

Authors:
 [1];  [2];  [3];  [4];  [5]
  1. Dep. of Civil Engineering Univ. of Peradeniya 20400 Peradeniya Sri Lanka, Dep. of Soil and Physical Sciences Lincoln Univ. P.O. Box 85084 Lincoln 7647 New Zealand
  2. Dep. of Civil Engineering Univ. of Texas Arlington TX 76019
  3. Dep. of Civil Engineering Univ. of Peradeniya 20400 Peradeniya Sri Lanka
  4. Dep. of Geography and Environmental Engineering US Military Academy West Point NY 10996
  5. Dep. of Soil and Physical Sciences Lincoln Univ. P.O. Box 85084 Lincoln 7647 New Zealand
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1787379
Alternate Identifier(s):
OSTI ID: 1787382
Resource Type:
Published Article
Journal Name:
Vadose Zone Journal
Additional Journal Information:
Journal Name: Vadose Zone Journal Journal Volume: 17 Journal Issue: 1; Journal ID: ISSN 1539-1663
Publisher:
Wiley Blackwell (John Wiley & Sons)
Country of Publication:
United States
Language:
English

Citation Formats

Deepagoda, T. K. K. Chamindu, Smits, Kathleen, Jayarathne, J. R. R. N., Wallen, Benjamin M., and Clough, Timothy J. Characterization of Grain‐Size Distribution, Thermal Conductivity, and Gas Diffusivity in Variably Saturated Binary Sand Mixtures. United States: N. p., 2018. Web. doi:10.2136/vzj2018.01.0026.
Deepagoda, T. K. K. Chamindu, Smits, Kathleen, Jayarathne, J. R. R. N., Wallen, Benjamin M., & Clough, Timothy J. Characterization of Grain‐Size Distribution, Thermal Conductivity, and Gas Diffusivity in Variably Saturated Binary Sand Mixtures. United States. https://doi.org/10.2136/vzj2018.01.0026
Deepagoda, T. K. K. Chamindu, Smits, Kathleen, Jayarathne, J. R. R. N., Wallen, Benjamin M., and Clough, Timothy J. Thu . "Characterization of Grain‐Size Distribution, Thermal Conductivity, and Gas Diffusivity in Variably Saturated Binary Sand Mixtures". United States. https://doi.org/10.2136/vzj2018.01.0026.
@article{osti_1787379,
title = {Characterization of Grain‐Size Distribution, Thermal Conductivity, and Gas Diffusivity in Variably Saturated Binary Sand Mixtures},
author = {Deepagoda, T. K. K. Chamindu and Smits, Kathleen and Jayarathne, J. R. R. N. and Wallen, Benjamin M. and Clough, Timothy J.},
abstractNote = {Core Ideas Parameterized models are relevant to applications where different porous media mixtures are used. Models include a grain‐size distribution function to describe bimodal behavior for binary mixtures. Improved model describes observed thermal conductivity–saturation relations for binary mixtures. Combined Buckingham–Penman model used to describe observed gas diffusivity–air content relations. This work is relevant for proper simulation of mixed porous media. Characterization of differently textured porous materials, as well as different volumetric porous media mixtures, in relation to mass and heat transport is vital for many engineering and research applications. Functional relations describing physical (e.g., grain‐size distribution, total porosity), thermal, and gas diffusion properties of porous media and mixtures are necessary to optimize the design of porous systems that involve heat and gas transport processes. However, only a limited number of studies provide characterization of soil physical, thermal, and gas diffusion properties and the functional relationships of these properties under varying soil water contents, especially for soil mixtures, complicating optimization efforts. To better understand how mixing controls the physical, thermal, and gas diffusion properties of porous media, a set of laboratory experiments was performed using five volumetric mixtures of coarse‐ and fine‐grained sand particles. For each mixture, the grain‐size distribution (GSD), thermal conductivity, and gas diffusivity were obtained and parameterized using existing and suggested parametric models. Results show that the extended, two‐region Rosin–Rammler particle‐size distribution model proposed in this study could successfully describe the bimodal behavior of the GSD of binary mixtures. Further, the modified Côté and Konrad thermal conductivity model adequately described the thermal conductivity–water saturation relations observed in different mixtures. The proposed simple soil‐gas diffusivity descriptive model parameterized the upper limit, average, and lower limit behavior in gas diffusivity–air content relations in apparently texture‐invariant gas diffusivity data. Results further show a close analogy between gas diffusivity and thermal conductivity and their variation with saturation across different binary mixtures. Overall, the results of the study provide useful numerical insight into the physical, thermal, and gas transport characteristics of binary mixtures, with wide implications for future engineering and research applications that involve multicomponent porous systems.},
doi = {10.2136/vzj2018.01.0026},
journal = {Vadose Zone Journal},
number = 1,
volume = 17,
place = {United States},
year = {Thu Aug 23 00:00:00 EDT 2018},
month = {Thu Aug 23 00:00:00 EDT 2018}
}

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https://doi.org/10.2136/vzj2018.01.0026

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Works referenced in this record:

Water Retention Characteristics and Pore Structure of Binary Mixtures
journal, February 2015


Density-Corrected Models for Gas Diffusivity and Air Permeability in Unsaturated Soil
journal, February 2011

  • Deepagoda, T. K. K. Chamindu; Moldrup, Per; Schjønning, Per
  • Vadose Zone Journal, Vol. 10, Issue 1
  • DOI: 10.2136/vzj2009.0137

I Using Porous Material for Heat Transfer Enhancement in Heat Exchangers: Review
journal, February 2013

  • Delavar, M. A.; Azimi, M.
  • Journal of Engineering Science and Technology Review, Vol. 6, Issue 1
  • DOI: 10.25103/jestr.061.03

Effects of Soil Bulk Density on Gas Transport Parameters and Pore-Network Properties across a Sandy Field Site
journal, July 2015

  • Masís-Meléndez, Federico; de Jonge, Lis Wollesen; Chamindu Deepagoda, T. K. K.
  • Vadose Zone Journal, Vol. 14, Issue 7
  • DOI: 10.2136/vzj2014.09.0128

An Improved Model for Predicting Soil Thermal Conductivity from Water Content at Room Temperature
journal, January 2007

  • Lu, Sen; Ren, Tusheng; Gong, Yuanshi
  • Soil Science Society of America Journal, Vol. 71, Issue 1
  • DOI: 10.2136/sssaj2006.0041

Thermal conductivity of sands
journal, July 2012


An experimental and numerical study on heat transfer enhancement for gas heat exchangers fitted with porous media
journal, November 2004


Generalized Density-Corrected Model for Gas Diffusivity in Variably Saturated Soils
journal, July 2011

  • Deepagoda, T. K. K. Chamindu; Moldrup, Per; Schjønning, Per
  • Soil Science Society of America Journal, Vol. 75, Issue 4
  • DOI: 10.2136/sssaj2010.0405

Characterization of Thermal, Hydraulic, and Gas Diffusion Properties in Variably Saturated Sand Grades
journal, March 2016

  • Chamindu Deepagoda, T. K. K.; Smits, Kathleen; Ramirez, Jamie
  • Vadose Zone Journal, Vol. 15, Issue 4
  • DOI: 10.2136/vzj2015.07.0097

Clay Minerals in Playas of the Mojave Desert, California
journal, July 1959


Oxygen Diffusion in Porous Media as a Measure of Soil Aeration
journal, January 1950


Thermal Conductivity of Sands under Varying Moisture and Porosity in Drainage–Wetting Cycles
journal, January 2010

  • Smits, Kathleen M.; Sakaki, Toshihiro; Limsuwat, Anuchit
  • Vadose Zone Journal, Vol. 9, Issue 1
  • DOI: 10.2136/vzj2009.0095

Particulate Binary Mixtures:  Dependence of Packing Porosity on Particle Size Ratio
journal, October 2004

  • Dias, Ricardo P.; Teixeira, José A.; Mota, Manuel G.
  • Industrial & Engineering Chemistry Research, Vol. 43, Issue 24
  • DOI: 10.1021/ie040048b

Biofiltration of Air: A Review
journal, January 2005

  • Delhoménie, Marie-Caroline; Heitz, Michèle
  • Critical Reviews in Biotechnology, Vol. 25, Issue 1-2
  • DOI: 10.1080/07388550590935814

The Diffusion of Gases Through Porous Media
journal, March 1959


Effect of Particle Size and Soil Compaction on Gas Transport Parameters in Variably Saturated, Sandy Soils
journal, November 2009

  • Hamamoto, Shoichiro; Moldrup, Per; Kawamoto, Ken
  • Vadose Zone Journal, Vol. 8, Issue 4
  • DOI: 10.2136/vzj2008.0157

Methane diffusion coefficient in compost and soil–compost mixtures in gas phase biofilter
journal, May 2011

  • Pokhrel, Dinesh; Hettiaratchi, Patrick; Kumar, Sunil
  • Chemical Engineering Journal, Vol. 169, Issue 1-3
  • DOI: 10.1016/j.cej.2011.03.013

Pore network structure linked by X-ray CT to particle characteristics and transport parameters
journal, August 2016


Predicting the Gas Diffusion Coefficient in Repacked Soil
journal, January 2000


Characterization of Miller-Similar Silica Sands for Laboratory Hydrologic Studies
journal, January 1996


Comparison of height-averaged and point-measured capillary pressure-saturation relations for sands using a modified Tempe cell: TECHNICAL NOTE
journal, December 2007

  • Sakaki, Toshihiro; Illangasekare, Tissa H.
  • Water Resources Research, Vol. 43, Issue 12
  • DOI: 10.1029/2006WR005814

Thermal Conductivity of Binary Sand Mixtures Evaluated through Full Water Content Range
journal, May 2016

  • Wallen, Benjamin M.; Smits, Kathleen M.; Sakaki, Toshihiro
  • Soil Science Society of America Journal, Vol. 80, Issue 3
  • DOI: 10.2136/sssaj2015.11.0408

Gas and vapour movements in the soil: I. The diffusion of vapours through porous solids
journal, July 1940


Capillary pressure–saturation relationships for porous granular materials: Pore morphology method vs. pore unit assembly method
journal, September 2017


Temperature Dependence of Thermal Properties of Sands across a Wide Range of Temperatures (30-70°C)
journal, January 2013

  • Smits, Kathleen M.; Sakaki, Toshihiro; Howington, Stacy E.
  • Vadose Zone Journal, Vol. 12, Issue 1
  • DOI: 10.2136/vzj2012.0033

Permeability of porous solids
journal, January 1961

  • Millington, R. J.; Quirk, J. P.
  • Transactions of the Faraday Society, Vol. 57
  • DOI: 10.1039/tf9615701200