Nonlocal modeling of thermal dispersion for forced fluid flow through a porous medium
AbstractThe problem of description of complex heat transfer through a porous medium associated with fluid flow was considered in the paper. The ensemble averaging method was used to obtain the homogenized (macroscopic) form of the energy equation. It was found that that energy carried by the fluid is gradually dispersed in the porous medium and finally gives rise to an additional, besides molecular conduction, thermal diffusion process. The intermediate stage between convection and diffusion is nonlocal in nature. The nonlocality is caused by existence of preferential paths along which heat is transported by fluid or solid for long distances. The final form of dispersion assumes Fourier law-like form with thermal dispersion conductivity that can be added to the effective molecular thermal conductivity. A few examples illustrating nonlocal behavior of the porous medium and influence of different factors on the thermal dispersion conductivity were given.
|Journal series||Computing and Visualization in Science, ISSN 1432-9360|
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