Analytical Solutions for Heat Transfer in Saturated Soil with Effective Porosity

Closed-form analytical solutions are presented for one-dimensional heat transfer through saturated soil with effective porosity and steady fluid flow. The solutions yield distributions of temperature and total heat flux for both transient and steady-state conditions within a soil block having constant temperature boundaries. The analysis adopts a series–parallel approach for heat transfer and accounts for advection, conduction, and thermal mechanical dispersion assuming local thermal equilibrium between solid and fluid phases. Solutions are first developed and experimental data are provided to highlight the significance of effective porosity with regard to soil thermal conductivity. Numeric examples are presented to illustrate the effects of the thermal Peclet number, thermal dispersivity, and effective porosity on heat transfer behavior. Depending on conditions, each parameter can affect heat transfer in saturated soil significantly. The solutions also demonstrate the requisite uniqueness when cast in terms of dimensionless parameters.

Files

Metadata

Work Title Analytical Solutions for Heat Transfer in Saturated Soil with Effective Porosity
Access
Open Access
Creators
  1. Chu Wang
  2. Patrick Joseph Fox
Keyword
  1. Heat transfer; Thermal conduction; Thermal dispersion; Effective porosity; Thermal Peclet number; Local thermal equilibrium; Analytical solution; Saturated soil
License In Copyright (Rights Reserved)
Work Type Research Paper
Publisher
  1. American Society of Civil Engineers
Publication Date September 2020
Subject
  1. Geotechnical Engineering
Publisher Identifier (DOI)
  1. doi.org/10.1061/(ASCE)GT.1943-5606.0002324
Deposited March 07, 2021

Versions

Analytics

Collections

This resource is currently not in any collection.

Work History

Version 1
published

  • Created
  • Added Creator Chu Wang
  • Added Creator Patrick Joseph Fox
  • Added GT8636_June.pdf
  • Added Fig. 10.pdf
  • Added Fig. 11.pdf
  • Added Fig. 12.pdf
  • Added Fig. 1.pdf
  • Added Fig. 2.pdf
  • Added Fig. 3.pdf
  • Added Fig. 4.pdf
  • Added Fig. 5.pdf
  • Added Fig. 6.pdf
  • Added Fig. 7.pdf
  • Added Fig. 8.pdf
  • Added Fig. 9.pdf
  • Deleted GT8636_June.pdf
  • Added GT8636_June.pdf
  • Updated Publisher, License Show Changes
    Publisher
    • American Society of Civil Engineers
    License
    • https://creativecommons.org/licenses/by/4.0/
  • Published
  • Updated License Show Changes
    License
    • https://creativecommons.org/licenses/by/4.0/
    • https://rightsstatements.org/page/InC/1.0/
  • Updated
  • Updated

Version 2
published

  • Created
  • Updated Work Title, Subject, Publisher Identifier (DOI) Show Changes
    Work Title
    • Numerical Model for Heat Transfer in Saturated Layered Soil with Effective Porosity
    • Analytical Solutions for Heat Transfer in Saturated Soil with Effective Porosity
    Subject
    • Geotechnical Engineering
    Publisher Identifier (DOI)
    • https://doi.org/10.1061/(ASCE)GT.1943-5606.0002324
    • doi.org/10.1061/(ASCE)GT.1943-5606.0002324
  • Deleted Fig. 10.pdf
  • Deleted Fig. 11.pdf
  • Deleted Fig. 12.pdf
  • Deleted Fig. 1.pdf
  • Deleted Fig. 2.pdf
  • Deleted Fig. 3.pdf
  • Deleted Fig. 4.pdf
  • Deleted Fig. 5.pdf
  • Deleted Fig. 6.pdf
  • Deleted Fig. 7.pdf
  • Deleted Fig. 8.pdf
  • Deleted Fig. 9.pdf
  • Deleted GT8636_June.pdf
  • Added Chu and Fox 2020a.zip
  • Published
  • Updated License Show Changes
    License
    • https://creativecommons.org/licenses/by/4.0/
    • https://rightsstatements.org/page/InC/1.0/
  • Updated
  • Updated