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Extensive numerical experiments have been presented for several problems involving multiple fluid phases, large density contrasts and large viscosity contrasts.
Porous inclusions such as LWAs embedded in a cementitious matrix are filled with multiple fluid phases including PCM to obtain desirable thermal properties for building and infrastructure applications.
In particular, we compare our simulations with the de Gennes theory, and demonstrate that our method produces physically accurate results for multiple fluid phases.
For immiscible Darcy flow of multiple fluid phases, whereby capillary effects are negligible, the transport equations in the presence of viscous and buoyancy forces are highly nonlinear and hyperbolic.
In particular, by comparing simulation results with the Langmuir de Gennes theory of floating liquid lenses we show that the method using general order parameters produces physically accurate results for multiple fluid phases.
The analysis is applied to the mass and energy conservation equations that describe the flow and transport of an arbitrary number of components, which can partition across multiple fluid phases, in the presence of thermal effects.
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There may be multiple fluid domains and multiple solid domains.
Displacements of the skeleton and fluid phases.
Relaxation times of the solid and the fluid phases.
Specific heat of the solid and the fluid phases.
Intensities of heat fluxes of the solid and fluid phases.
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