A new application of percolation theory for coupled transport phenomena through porous media. (English) Zbl 1013.76089
Summary: We discuss an application of the percolation theory for describing coupled heat and mass transport phenomena in porous media. The space and time dependence of temperature and moisture level functions are calculated by taking into account discrete, sudden changes of diffusion coefficient near critical points. A further possible application of the method leads to exact treatment of the thermodynamic state dependence of conductivity and coupling coefficients.
MSC:
| 76S05 | Flows in porous media; filtration; seepage |
| 82B43 | Percolation |
| 80A20 | Heat and mass transfer, heat flow (MSC2010) |
Keywords:
coupled transport; phase transitions; mass transfer; heat transfer; percolation theory; porous media; temperature; moisture; diffusion coefficient; conductivityReferences:
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