A model for diffusion of water into a swelling particle with a free boundary: Application to a super absorbent polymer particle

Sweijen, Thomas; Duijn, C.J. van; Hassanizadeh, S. Majid

doi:10.1016/j.ces.2017.06.045

Cited by 31 publications

(24 citation statements)

References 16 publications

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“…In Refs. [24,25] the swelling kinetics of spherical SAP particles are described as a diffusion-governed process depending only on their diameter, provided a certain ionic composition of the solution and a certain type of SAP. The model has been validated by monitoring the change of SAP's diameters in time [24].…”

Section: Sap Water Absorption and Swelling Kineticsmentioning

confidence: 99%

Numerical investigation of crack self-sealing in cement-based composites with superabsorbent polymers

Rodriguez

Figueiredo

Deprez

et al. 2019

Cement and Concrete Composites

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Recently the concept of crack self-sealing has been investigated as a method to prevent degradation and/or loss of functionality of cracked concrete elements. To obtain self-sealing effect in the crack, water swelling admixtures such as superabsorbent polymers (SAP) are added into the cementitious mix. In order to design such self-sealing systems in an efficient way, a three-dimensional mesoscale numerical model is proposed to simulate capillary absorption of water in sound and cracked cement-based materials containing SAP. The numerical results yield the moisture content distribution in cracked and sound domain, as well as the absorption and swelling of SAP embedded in the matrix and in the crack. The performance of the model was validated by using experimental data from the literature, as well as experimentally-informed input parameters. The validated model was then used to investigate the role of SAP properties and dosage in cementitious mixtures, on the water penetration into the material from cracks. Furthermore different crack widths were considered in the simulations. The model shows good agreement with experimental results. From the numerical investigation guidelines are suggested for the design of the studied composites.

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Section: Sap Water Absorption and Swelling Kineticsmentioning

confidence: 99%

Numerical investigation of crack self-sealing in cement-based composites with superabsorbent polymers

Rodriguez

Figueiredo

Deprez

et al. 2019

Cement and Concrete Composites

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show abstract

“…Limiting to gel swelling simulations, Hong et al [12] and Kuang and Huang [13] presented a finite element swelling model for inhomogeneous swelling at equilibrium state. A number of works ( [14][15][16]) take a different approach to model a swelling hydrogel. Namely the swelling front is treated as a sharp transition surface between the solution phase and the gel phase (characterized by different chemical potential).…”

Section: Introductionmentioning

confidence: 99%

A mixed hybrid finite element framework for the simulation of swelling ionized hydrogels

Malakpoor

Huyghe

2018

Comput Mech

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Ionized hydrogels, as osmoelastic media, swell enormously (1000 times its original volume in unionized water) due to the osmotic pressure difference caused by the presence of the negatively charged ion groups attached to the solid matrix (polymer chains). The coupling between the extremely large deformations (induced by swelling) and fluid permeation is a field of application that regular poroelasticity formulations cannot handle. In this work, we present a mixed hybrid finite element (MHFE) computational framework featuring a three-field (deformation-chemical potential-flux) formulation. This formulation guarantees that mass conservation is preserved both locally and globally. The impact of such a property on the swelling simulations is demonstrated by four numerical examples in 2D. This paper focuses on the implementation aspects of the MHFE model and shows that it stays robust and accurate for a volume increase of more than 3000%.

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“…where the product Dθ ,j is the flux of water per unit area. From these equations the volumetric uptake V of water per unit time ∆t, Q ab , was derived by Sweijen et al [32] as…”

Section: Down-flow Spb Storage: Governing Equationsmentioning

confidence: 99%

Dynamic Distributed Storage of Stormwater in Sponge-Like Porous Bodies: Modelling Water Uptake

Lundström

Åkerstedt

Larsson

et al. 2020

Water

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An innovative concept of dynamic stormwater storage in sponge-like porous bodies (SPBs) is presented and modelled using first principles, for down-flow and up-flow variants of SPBs. The rate of inflow driven by absorption and/or capillary action into various porous material structures was computed as a function of time and found to be critically dependent on the type of structure and the porous material used. In a case study, the rates of inflow and storage filling were modelled for various conditions and found to match, or exceed, the rates of rainwater inflow and volume accumulation associated with two types of Swedish rainfalls, of 60-min duration and a return period of 10 years. Hence, the mathematical models indicated that the SPB devices studied could capture relevant amounts of water. The theoretical study also showed that the SPB concepts could be further optimized. Such findings confirmed the potential of dynamic SPB storage to control stormwater runoff and serve as one of numerous elements contributing to restoration of pre-urban hydrology in urban catchments. Finally, the issues to be considered in bringing this theoretical concept to a higher Technological Readiness Level were discussed briefly, including operational challenges. However, it should be noted that a proper analysis of such issues requires a separate study building on the current presentation of theoretical concepts.

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A model for diffusion of water into a swelling particle with a free boundary: Application to a super absorbent polymer particle

Cited by 31 publications

References 16 publications

Numerical investigation of crack self-sealing in cement-based composites with superabsorbent polymers

Numerical investigation of crack self-sealing in cement-based composites with superabsorbent polymers

A mixed hybrid finite element framework for the simulation of swelling ionized hydrogels

Dynamic Distributed Storage of Stormwater in Sponge-Like Porous Bodies: Modelling Water Uptake

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