SFB 1313 Publication "A Three‑Dimensional Homogenization Approach for Effective Heat Transport in Thin Porous Media"

New joint publication, published in the journal Transport in Porous Media. The paper has been developed in the framework of SFB 1313 research projects A05 and SimTech project network PN1-6.

“A Three‑Dimensional Homogenization Approach for Effective Heat Transport in Thin Porous Media”

Authors

• Lena Scholz (University of Stuttgart, SFB 1313 research assistant)
• Carina Bringedal (University of Stuttgart, SFB 1313 research project A05)

The scientific work is based on the Bachelor thesis "Effective heat transfer models in thin porous media“ of Lena Scholz (supervised by SFB 1313 principal investigator Prof. Carina Bringedal and SFB 1313 spokesman Prof. Rainer Helmig.). Lena Scholz is a Master student of Simulation Technology and has been awarded for her outstanding thesis in 2020 by the SimTech Industrial Consortium e V.

Abstract

Heat transport through a porous medium depends on the local pore geometry and on the heat conductivities of the solid and the saturating fluid. Through upscaling using formal homogenization, the local pore geometry can be accounted for to derive effective heat conductivities to be used at the Darcy scale. We here consider thin porous media, where not only the local pore geometry plays a role for determining the effective heat conductivity, but also the boundary conditions applied at the top and the bottom of the porous medium. Assuming scale separation and using two-scale asymptotic expansions, we derive cell problems determining the effective heat conductivity, which incorporates also the effect of the boundary conditions. Through solving the cell problems, we show how the local grain shape, and in particular its surface area at the top and bottom boundary, affects the effective heat conductivity through the thin porous medium.

Links

• SFB 1313 research project A05 "Pore scale formulations for evaporation, and upscaling to REV scale"