Pore-scale model of freezing inception in a porous medium

Žák, Alexandr; Beneš, Michal; Illangasekare, Tissa H.

doi:10.1016/j.cma.2023.116166

Cited by 3 publications

(1 citation statement)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Thin liquid pathways occur between grains and ice during soil freezing and mediate mass transport responsible for mechanical effects such as the frost heave (see e.g. [38,42,45]). Following the above motivating applications, we consider the following transport problem along a moving curve Γ:…”

Section: Introductionmentioning

confidence: 99%

On Diffusion and Transport Acting on Parameterized Moving Closed Curves in Space

Benes,

Kolar,

Sevcovic

2024

Preprint

View full text Add to dashboard Cite

We investigate the motion of closed, smooth non-self-intersecting curves that evolve in space R 3 . The geometric evolutionary equation for the evolution of the curve is accompanied by a parabolic equation for the scalar quantity evaluated over the evolving curve. We apply the direct Lagrangian approach to describe the geometric flow of 3D curves resulting in a system of degenerate parabolic equations. We prove the local existence and uniqueness of classical Hölder smooth solutions to the governing system of nonlinear parabolic equations. A numerical discretization scheme has been constructed using the method of flowing finite volumes. We present several numerical examples of the evolution of curves in 3D with a scalar quantity. In this paper, we analyze the flow of curves with no torsion evolving in rotating and parallel planes. Next, we present examples of the evolution of curves with initially knotted and unknotted curves.

show abstract

Section: Introductionmentioning

confidence: 99%

On Diffusion and Transport Acting on Parameterized Moving Closed Curves in Space

Benes,

Kolar,

Sevcovic

2024

Preprint

View full text Add to dashboard Cite

show abstract

Elastoplastic damage behavior of quasi-brittle rocks considering crack closure evolution

Li,

Lai,

Zhang

et al. 2024

Computers and Geotechnics

View full text Add to dashboard Cite

Experimental and numerical investigation of water freezing and thawing in fully saturated sand

Sobotková,

Žák,

Beneš

et al. 2024

Journal of Hydrology and Hydromechanics

View full text Add to dashboard Cite

This paper presents an experimental and numerical study of the freezing-thawing behavior of water in fully saturated sand. A relatively inexpensive and easily replicable experimental procedure was developed to simulate the freezing-thawing cycles in a medium-sized sand sample placed in a modified commercial freezer. By insulating the sides and bottom of the sample well, while allowing good thermal conductivity at the top of the sample, a nearly vertical advance of the freezing and thawing front was achieved. A series of freeze-thaw cycles were performed with higher and lower temperature gradients. A numerical multiphysics model, assuming an axially symmetric geometry based on the transient heat transfer during the phase transition, used a parametric approach to estimate the effective thermal properties of the sand-water-ice system. A good agreement between experimental and modelling results was shown, but slightly different parameter sets were obtained for each temperature gradient. The presented method could be a simple way to characterize the freeze-thaw process in natural and artificial porous materials.

show abstract

Pore-scale model of freezing inception in a porous medium

Cited by 3 publications

References 44 publications

On Diffusion and Transport Acting on Parameterized Moving Closed Curves in Space

On Diffusion and Transport Acting on Parameterized Moving Closed Curves in Space

Elastoplastic damage behavior of quasi-brittle rocks considering crack closure evolution

Experimental and numerical investigation of water freezing and thawing in fully saturated sand

Contact Info

Product

Resources

About