30 May 2022 to 2 June 2022
Asia/Dubai timezone

A phase-field approach to model evaporation in porous media: Upscaling from pore to Darcy scale

1 Jun 2022, 11:15
15m
Oral Presentation (MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes MS07

Speaker

Mr Tufan Ghosh (Institute for Modelling Hydraulic and Environmental Systems (IWS), University of Stuttgart)

Description

We develop a phase-field model for evaporation in a porous medium by explicitly considering a vapor component together with the liquid and gas phases in the system. The phase-field model consists of the conservation of mass (for phases and vapor component), momentum, and energy. In addition, the evolution of the phase field is described by the Allen-Cahn equation. In the limit of vanishing interface width, matched asymptotic expansions reveal that the phase-field model reduces to the sharp-interface model with all the relevant transmission conditions at the moving interface. An energy estimate is derived, which suggests that for the diffusion-dominated regime, energy always decreases with time. However, this is not always the case for other regimes. The phase-field model is upscaled to the Darcy scale using periodic homogenization for the diffusion-dominated regime. The effective parameters at the Darcy scale are connected to the pore scale through corresponding cell problems.

Participation Online
Country Germany
MDPI Energies Student Poster Award No, do not submit my presenation for the student posters award.
Time Block Preference Time Block A (09:00-12:00 CET)
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Primary author

Mr Tufan Ghosh (Institute for Modelling Hydraulic and Environmental Systems (IWS), University of Stuttgart)

Co-author

Carina Bringedal

Presentation materials