Infiltration time and imprint shape of a sessile droplet imbibing porous medium

Markicevic, B.; Li, H.; Sikorski, Yuri; Zand, Ali; Sanders, Matthew S.; Navaz, Homayun K.

doi:10.1016/j.jcis.2009.04.085

Cited by 19 publications

(15 citation statements)

References 13 publications

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“…At the end of primary spread, the imprint wetted area is around A w Ϸ 23 mm 2 which is different ͑it is larger͒ from the droplet base area that is calculated from the droplet base radius r 0 = 1.4 mm, ͑r 0 2 p = 6.2 mm 2 ͒. Measuring A w and d p at the end of the primary spread and assuming the droplet imprint is a spheroid in shape due to the pore cross links and droplet base finite size, 11,[24][25][26] it is found that the liquid mass balance for a single-phase flow is satisfied and the void volume in wetted sand ͑droplet imprint͒ is fully saturated by the liquid phase. Hence, V 0 can be expressed as…”

Section: B Inner Solutionmentioning

confidence: 95%

“…The numerical solver developed is general and can be used for homogeneous and heterogeneous networks, as well as for primary and secondary spreads. For the primary spread into homogeneous networks, 25 the wetted imprint is fully saturated ͑single-phase displacement flow͒. The free interface is sharply defined, and permeability and capillary pressure are constant.…”

Section: B Numerical Solutionmentioning

confidence: 99%

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On spread extent of sessile droplet into porous medium: Numerical solution and comparisons with experiments

Markicevic

D'Onofrio²,

Navaz

2010

Physics of Fluids

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The spread of a wetting liquid sessile droplet into porous medium is solved numerically using the capillary network model with a microforce balance boundary condition at the liquid/gas free interface in the porous medium. The spread starts as the porous medium imbibes the sessile liquid, followed by liquid additionally being spread inside the porous medium itself. After there is no remaining sessile liquid, the net flow across the porous medium boundaries is equal to zero. Either spread, with or without sessile liquid present at the porous medium surface, is rendered by local differences in capillary pressure. These local differences are accounted for by implementing the numerical solution over a heterogeneous capillary network, consisting of pores connected by throats. Both pores and throats follow predefined distribution functions. Once there is no sessile liquid present on the porous medium surface, it is found from a numerical solution that the liquid front can extend significantly in time, wetting very large volumes of the porous medium. This is also measured in experiments, in which over time, an increase in wetted volume of more than 16 times is observed compared to the wetted volume right after the disappearance of sessile liquid on the porous medium surface. The numerical and experimental results for the time changes of ͑i͒ volume of liquid remaining at the porous medium surface, ͑ii͒ porous medium surface wetted area of the droplet imprint, and ͑iii͒ liquid protrusion depth into porous medium are compared, with very good qualitative and quantitative agreement found.

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Section: B Inner Solutionmentioning

confidence: 95%

Section: B Numerical Solutionmentioning

confidence: 99%

On spread extent of sessile droplet into porous medium: Numerical solution and comparisons with experiments

Markicevic

D'Onofrio²,

Navaz

2010

Physics of Fluids

Self Cite

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show abstract

“…The absorption rate and spread thread through the media are influenced by the physical environment, for example, the media's porosity and the material properties of the fluid, and chemical processes. Earlier work with this model involved validation of a droplet's spread into the porous media without chemical reaction . These studies compared the saturation profile beneath the droplet to experimental data and confirmed the model's ability to provide both qualitative and quantitative results.…”

Section: Introductionmentioning

confidence: 68%

“…The COMCAD computer model solves the species mass and momentum conservation equations on a finite difference mesh in transformed coordinates, and not physical coordinates. The detailed numerical technique is explained in our earlier work and will not be repeated here. The COMCAD code has an internal grid generation module that can automatically generate a mesh for two droplets at any proximity.…”

Section: Problem Formulationmentioning

confidence: 99%

Fate of a sessile droplet absorbed into a porous surface experiencing chemical degradation

et al. 2014

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A general‐purpose multiphase and multicomponent computer model was developed for simulation of the spread, evaporation, and chemical reaction of sessile droplet(s) in porous substrates. In the model, chemical reactions were allowed in or between any of the liquid, gas, or solid phases present. The species mass and momentum conservation equations were solved on a finite difference mesh representing the domain. These equations were marched in time using the Runge–Kutta fourth‐order method. The model's function was studied via simulation of experiments, both those performed by the authors and found in the literature. These simulations demonstrated a quantitative match to the time history of product evolution and a similar spread of liquid reactants. The model may be particularly beneficial for predicting the extent of contamination and the possible threat outcomes of those chemical agents that are harmful when introduced into the environment. © 2014 American Institute of Chemical Engineers AIChE J, 60: 2557–2565, 2014

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“…Researchers in the past have solved the porous media flow by continuum or discrete methods. This volume of work has been addressed by Markicevic et al [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. The flow through porous materials becomes more complicated when evaporation on the surface and within the pores is also present [15][16].…”

Section: Introductionmentioning

confidence: 99%

Fate of sessile droplet chemical agents in environmental substrates in the presence of physiochemical processes

et al. 2014

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A general-purpose multi-phase and multi-component computer model capable of solving the complex problems encountered in the agent substrate interaction is developed. The model solves the transient and time-accurate mass and momentum governing equations in a three dimensional space. The provisions for considering all the inter-phase activities (solidification, evaporation, condensation, etc.) are included in the model. The chemical reactions among all phases are allowed and the products of the existing chemical reactions in all three phases are possible. The impact of chemical reaction products on the transport properties in porous media such as porosity, capillary pressure, and permeability is considered. Numerous validations for simulants, agents, and pesticides with laboratory and open air data are presented. Results for chemical reactions in the presence of pre-existing water in porous materials such as moisture, or separated agent and water droplets on porous substrates are presented. The model will greatly enhance the capabilities in predicting the level of threat after any chemical such as Toxic Industrial Chemicals (TICs) and Toxic Industrial Materials (TIMs) release on environmental substrates. The model's generality makes it suitable for both defense and pharmaceutical applications.

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Infiltration time and imprint shape of a sessile droplet imbibing porous medium

Cited by 19 publications

References 13 publications

On spread extent of sessile droplet into porous medium: Numerical solution and comparisons with experiments

On spread extent of sessile droplet into porous medium: Numerical solution and comparisons with experiments

Fate of a sessile droplet absorbed into a porous surface experiencing chemical degradation

Fate of sessile droplet chemical agents in environmental substrates in the presence of physiochemical processes

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