| Abstract: |
| We consider a system that captures thermal, chemical and mechanical effects in the form of a solid, fluid and an interface, each having species and thermodynamic properties. Here we propose an approach which presents a more general setting for the system`s entropy inequality. The approach we follow, with our slight variation was pioneered by Gray and Miller in their Thermodynamically Constrained Averaging Theory approach. Due to the dependence of fluid flow on the thermal conditions and flow conductivity, we modify Darcy`s law to capture these effects. Depending on the temperature conditions and the flow forms we develop closed forms which are non-isothermal, locally isothermal and isothermal using the Darcy`s law modifications. We present thermo-chemo-mechanical closed forms in the form of single-phase flow with species and thermo-mechanical closed forms in the form of single-phase flow without species. |
|