Conduction through an assembly of spherical particles at low liquid contents

E. G. Youngs*, A. R. Kacimov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


The steady-state conduction of heat through the solid phase of a porous material consisting of an assembly of simple cubic packed uniform spheres at low liquid contents with heat conducted from one sphere to the next through annular liquid lenses around the points of contact, is analysed in terms of Legendre polynomials assuming the liquid bridges to behave as isothermal hemispheres around point sources and sinks. The conductance of a sphere is approximately the same when the surface area of the hemisphere is the same as that of the liquid lens assumed to be an isothermal disc for which numerical results of isotherms are compared with the analytical results.

Original languageEnglish
Pages (from-to)292-302
Number of pages11
JournalInternational Journal of Heat and Mass Transfer
Issue number1-2
Publication statusPublished - Jan 2007


  • Analytical solutions
  • Conductance
  • Effective conductivity
  • Laplace's equation
  • Open- and close-packed spheres
  • Porous materials

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


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