Fundamental theorem for porous media in hydrostatic equilibrium
| Autor: | Yasuyuki Takatsu |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Fluid Flow and Transfer Processes
Physics Fundamental theorem Mechanical Engineering Mathematical analysis 02 engineering and technology 021001 nanoscience & nanotechnology Condensed Matter Physics Surface (topology) 01 natural sciences 010305 fluids & plasmas law.invention Volume (thermodynamics) Flow (mathematics) law 0103 physical sciences Representative elementary volume Boundary value problem Hydrostatic equilibrium 0210 nano-technology Porous medium |
| Zdroj: | International Journal of Heat and Mass Transfer. 137:1124-1131 |
| ISSN: | 0017-9310 |
| DOI: | 10.1016/j.ijheatmasstransfer.2019.04.005 |
| Popis: | This study derives the theorem for the local volume average of a gradient (or divergence) for the fluid phase in hydrostatic equilibrium. Recently, Takatsu (2017) [21] has modified the conventional theorem for the local volume average of a gradient for the flow through porous media. We extend the modified theorem to the fluid phase in hydrostatic equilibrium, and show that the difference between the theorems for both cases is caused by the boundary condition at the surface of the fluid phase volume. The resulting gradient of an average pressure for hydrostatic equilibrium is consistent with Darcy’s law with u f = O . Furthermore, we obtain the theorem for the local volume average of a gradient (or divergence) for the solid phase volume and that for the representative elementary volume. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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