Numerical simulation of the absorption of a droplet in a porous medium

Siregar, Daniel; Kuerten, Johannes G.M.; Wijshoff, Herman; Linden, L. T. M. van der

doi:10.1063/1.3453799

Cited by 5 publications

(2 citation statements)

References 7 publications

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“…When the droplet contact angle is small, the lubrication approximation can been applied to reduce the model by ignoring the vertical velocity u z . The reduced model was given as [33,34]:…”

Section: Conventional Hydrodynamic Theory Of Drying Dropletsmentioning

confidence: 99%

Deposition pattern of drying droplets

Yang¹,

Jiang²,

Lyu³

et al. 2021

Commun. Theor. Phys.

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The drying of liquid droplets is a common daily life phenomenon that has long held a special interest in scientific research. When the droplet includes nonvolatile solutes, the evaporation of the solvent induces rich deposition patterns of solutes on the substrate. Understanding the formation mechanism of these patterns has important ramifications for technical applications, ranging from coating to inkjet printing to disease detection. This topical review addresses the development of physical understanding of tailoring the specific ring-like deposition patterns of drying droplets. We start with a brief introduction of the experimental techniques that are developed to control these patterns of sessile droplets. We then summarize the development of the corresponding theory. Particular attention herein is focused on advances and issues related to applying the Onsager variational principle (OVP) theory to the study of the deposition patterns of drying droplets. The main obstacle to conventional theory is the requirement of complex numerical solutions, but fortunately there has been recent groundbreaking progress due to the OVP theory. The advantage of the OVP theory is that it can be used as an approximation tool to reduce the high-order conventional hydrodynamic equations to first-order evolution equations, facilitating the analysis of soft matter dynamic problems. As such, OVP theory is now well poised to become a theory of choice for predicting deposition patterns of drying droplets.

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“…When the droplet contact angle is small, the lubrication approximation can been applied to reduce the model by ignoring the vertical velocity u z . The reduced model was given as [33,34]:…”

Section: Conventional Hydrodynamic Theory Of Drying Dropletsmentioning

confidence: 99%

Deposition pattern of drying droplets

Yang¹,

Jiang²,

Lyu³

et al. 2021

Commun. Theor. Phys.

View full text Add to dashboard Cite

show abstract

“…It would be natural to choose the initial diameter or height of the drop as a characteristic length scale. In fact, a number of authors have done so [18,20,32]. The trouble we nd with this scale is that measuring this value on a porous substrate is dif cult, if not impossible.…”

Section: Dimensional Considerationmentioning

confidence: 99%

Inﬁltration and Dimensional Scaling of Inkjet Droplets on Thick Isotropic Porous Materials

Oko,

Martinez,

Swerin

2013

Trans. Of the XVth Fund. Res. Symp. Cambridge, 2013

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We study the imbibition of picoliters (pL) sized inkjet droplets on controlled pore glass membranes (CPG). We do so using a variety of liquids, i.e., water, formamide and diiodomethane, as well as the CPG substrates, and measure the evolution of the imbibition process using high speed digital imaging. Here, experiments were conducted with a wide range of initial drop volume (100–600 pL) on 2–280 nm CPG membranes. We derive scaling laws through dimensional analysis of the equations of motion, and consider experimental parameters and liquid properties.

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Drying of Inkjet‐Printed Droplets

Kuerten

Siregar

2012

Advanced Micro and Nanosystems

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Numerical simulation of the absorption of a droplet in a porous medium

Cited by 5 publications

References 7 publications

Deposition pattern of drying droplets

Deposition pattern of drying droplets

Inﬁltration and Dimensional Scaling of Inkjet Droplets on Thick Isotropic Porous Materials

Drying of Inkjet‐Printed Droplets

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