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Kowalski, Paweł; Czyżak, Maciej

doi:10.21008/j.1897-0737.2017.89.0026

Cited by 4 publications

(4 citation statements)

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“…The velocity of liquid penetration can be defined according to: and Δp is calculated using the following equation: where p c is the capillary pressure, and p h is the hydrostatic pressure [ 2 , 3 , 11 ].…”

Section: Resultsmentioning

confidence: 99%

“…In the literature, there are numerous mathematical models to characterize and predict the spontaneous imbibition occurring in the different porous media. Firstly, Washburn investigated the process of water imbibition and proposed the model for single-phase liquids, which is also known as Lucas-Washburn equation [ 2 , 12 ]. Initially this model was applied for the process in a vertical tube, but further Lucas-Washburn equation was modified to extend its relevance and consequently, was applied for the complex porous media [ 13 , 14 ].…”

Section: Introductionmentioning

confidence: 99%

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Kozeny-Carman theory for modeling of porous granular structures saturation with emulsion during imbibition process

et al. 2017

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The issue discussed in the current publication is a process of emulsions penetration in the granular media driven by the capillary force. The research work focuses on the study of rate and height of multiphase liquids penetration in a porous bed. Changes of the medium porosity and saturation level occurring as a result of pores obstruction by the droplets of an inner phase, were considered. The surfactant-stabilized emulsions with the different dispersed phase concentrations were investigated applying a classical wicking test. The modified version of Kozeny-Carman theory was proposed in order to describe the observed imbibition process in porous structures composed of spherical grains. This approach allowed to predict transport of emulsions considering an effect of bed saturation and porosity changes. In practice, the introduced concept can be appropriable in the numerous industries and scientific fields to predict the imbibition process of the multiphase liquids in granular structures regarding variation of the investigated bed permeability.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Kozeny-Carman theory for modeling of porous granular structures saturation with emulsion during imbibition process

et al. 2017

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“…Note that this parameter is constructed of such quantities as moisture viscosity g (for water % 10 3 Pa s), porous medium permeability k (%10 10 m 2 on average), moisture density q m (%10 3 kg/m 3 ), and ultrasonic frequency f (>2 Â 10 4 1/s). These quantities give the ratio f r /f % 1, on average [27,28]. Therefore, in the analysis below the following range of the coupling parameter s is assumed…”

Section: Results and Conclusionmentioning

confidence: 99%

“…Heat and mass transfer phenomena in drying processes are considered to be irreversible, so that expressions (27) and (28) have to be positive independently of each other, i.e. Ts ⁄q P 0 and Ts ⁄w P 0.…”

Section: Rate Equations For Heat and Mass Transfermentioning

confidence: 99%