A coupling concept for two‐phase compositional porous‐medium and single‐phase compositional free flow

Mosthaf, Klaus; Baber, Katherina; Flemisch, Bernd; Helmig, Rainer; Leijnse, A.; Rybak, Iryna; Wohlmuth, Barbara

doi:10.1029/2011wr010685

Cited by 128 publications

(142 citation statements)

References 42 publications

(56 reference statements)

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“…Numerical results of spatial and temporal evolution for the saturation of water in the porous-media (S w ) as well as mass fraction of vapour in the gas phase (X w,ff g ) are shown in Figure 3. The results are in a good agreement with the ones presented in the similar studies [9,10,11,12,22]. As seen from Figure 3, during the evaporation process, the saturation of the water in the porous medium is decreasing by time.…”

Section: Resultssupporting

confidence: 82%

“…The model is implemented in the open source modelling framework DuMux [13]. The model depicts the evaporation process well [7] and it is in a good agreement with the ones presented in the similar studies [9,10,11,12,22].…”

Section: Resultssupporting

confidence: 63%

“…where J u n+1,m is the Jacobi matrix calculated by numerical differentiation, Δu is the correction to the primary variables u, and R u n+1,m is the residuum at time level n + 1 and iteration m. The linear problem at each Newton iteration step is solved using the direct linear solver SuperLU [21], and for the time integration, a fully implicit Euler scheme with a heuristic time-step control based on the convergence rate of the Newton solver is used [9,10,11,12,22].…”

Section: -2mentioning

confidence: 99%

“…tape casting based on the models developed by Mosthaf et al [12]. In the following, the developed model concept consisting of sub-domain models and coupling conditions will be briefly explained, and a brief overview on the numerical concept and on the implementation of the coupled model into the modelling toolbox DuMu x is given [13].…”

Section: Introductionmentioning

confidence: 99%

“…Mosthaf et al [12] developed a coupling concept for non-isothermal two-phase compositional flow in a porous medium in contact with a laminar single-phase non-isothermal compositional system in the free-flow region. It is based on existing approaches and valid on the Representative Elementary Volume (REV) scale.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Numerical modelling of evaporation in a ceramic layer in the tape casting process

Jabbari

Jambhekar

Hattel

et al. 2016

AIP Conference Proceedings

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Abstract. Evaporation of water from a ceramic layer is a key phenomenon in the drying process for the manufacturing of tape cast ceramics. This process contains mass, momentum and energy exchange between the porous medium and the freeflow region. In order to analyze such interaction processes, a Representative Elementary Volume (REV)-scale model concept is presented for coupling non-isothermal multi-phase compositional porous-media flow and single-phase compositional laminar free-flow. The preliminary results show the typical expected evaporation behaviour from a porous medium initially saturated with water, and its transport to the free-flow region according to the existent results from the literature.

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Section: Resultssupporting

confidence: 82%

Section: Resultssupporting

confidence: 63%

Section: -2mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Numerical modelling of evaporation in a ceramic layer in the tape casting process

Jabbari

Jambhekar

Hattel

et al. 2016

AIP Conference Proceedings

Self Cite

View full text Add to dashboard Cite

show abstract

Study of the effect of wind speed on evaporation from soil through integrated modeling of the atmospheric boundary layer and shallow subsurface

et al. 2014

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In an effort to develop methods based on integrating the subsurface to the atmospheric boundary layer to estimate evaporation, we developed a model based on the coupling of Navier-Stokes free flow and Darcy flow in porous medium. The model was tested using experimental data to study the effect of wind speed on evaporation. The model consists of the coupled equations of mass conservation for two-phase flow in porous medium with single-phase flow in the free-flow domain under nonisothermal, nonequilibrium phase change conditions. In this model, the evaporation rate and soil surface temperature and relative humidity at the interface come directly from the integrated model output. To experimentally validate numerical results, we developed a unique test system consisting of a wind tunnel interfaced with a soil tank instrumented with a network of sensors to measure soil-water variables. Results demonstrated that, by using this coupling approach, it is possible to predict the different stages of the drying process with good accuracy. Increasing the wind speed increases the first stage evaporation rate and decreases the transition time between two evaporative stages (soil water flow to vapor diffusion controlled) at low velocity values; then, at high wind speeds the evaporation rate becomes less dependent on the wind speed. On the contrary, the impact of wind speed on second stage evaporation (diffusion-dominant stage) is not significant. We found that the thermal and solute dispersion in free-flow systems has a significant influence on drying processes from porous media and should be taken into account.

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Modeling and analysis of evaporation processes from porous media on the REV scale

Mosthaf

Helmig

2014

Water Resour. Res.

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The dynamics of drying processes from porous media are critically influenced by the intensity of an adjacent free flow and by processes at the interface between free flow and the porous medium. In this paper, the influence of hydraulic properties of a porous medium and of the interaction between fluids and porous medium on the drying dynamics during the capillary-flow dominated stage-1 and transition to the diffusion-dominated stage-2 are studied using a coupled free-flow-porous-medium flow model on the REV scale. We present a detailed model concept that considers mass balance equations, an energy balance equation, and the coupling to the adjacent free flow. Key microscale processes are identified and incorporated in the macroscale description of the evaporation process. Own experimental results are used to illustrate main features of the modeling framework. We demonstrate that the use of a homogeneous distribution of soil parameters without consideration of pore-scale induced nonlinearities in the numerical simulations results in a rather constant drying rate in stage-1, which was not observed for the high evaporative demand in the experiments. To account for the dependency of the drying rate on the surface moisture content, special conditions based on the work of Haghighi et al. (2013) and Schl€ under (1988) are analyzed for their applicability on the REV scale. Typical features of a drying process, such as different stages of the drying rate, could be reproduced.

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A coupling concept for two‐phase compositional porous‐medium and single‐phase compositional free flow

Cited by 128 publications

References 42 publications

Numerical modelling of evaporation in a ceramic layer in the tape casting process

Numerical modelling of evaporation in a ceramic layer in the tape casting process

Study of the effect of wind speed on evaporation from soil through integrated modeling of the atmospheric boundary layer and shallow subsurface

Modeling and analysis of evaporation processes from porous media on the REV scale

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