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A thermodynamically consistent quasi-double-porosity thermo-hydro-mechanical model for cell dehydration of plant tissues at subzero temperatures
Archive of Applied Mechanics ( IF 2.8 ) Pub Date : 2021-04-16 , DOI: 10.1007/s00419-021-01947-9
Lukas Eurich , Rena Schott , Shahla Shahmoradi , Arndt Wagner , Ronaldo I. Borja , Anita Roth-Nebelsick , Wolfgang Ehlers

Many plant tissues exhibit the property of frost resistance. This is mainly due to two factors: one is related to metabolic effects, while the other stems from structural properties of plants leading to dehydration of their cells. The present contribution aims at assessing the impact of ice formation on frost-resistant plant tissues with a focus on structural properties specifically applied to Equisetum hyemale. In this particular case, there is an extracellular ice formation in so-called vallecular canals and the pith cavity, which leads to a dehydration of the tissue cells to avoid intracellular ice formation, what would be fatal for the cells and subsequently for the whole plant. To address the underlying phenomena in the plant, a coupled thermo-hydro-mechanical model based on the Theory of Porous Media is introduced as the modelling framework. The dehydration of the tissue cells is referred to as of quasi-double-porosity nature, since the water is mobile within the intercellular space, but confined to the cells in the intracellular space and consequently kinematically coupled to them. However, the mass exchange of water across the cell wall is considered. The presented numerical example shows the strong coupling of the underlying processes as well as the quasi-double-porosity feature. Finally, it supports the experimental finding of the vallecular canals as the main location of ice formation.



中文翻译:

零以下温度下植物组织细胞脱水的热力学一致准双孔隙热-水-力学模型

许多植物组织表现出抗冻性。这主要是由于两个因素:一个与代谢作用有关,另一个与植物的结构特性有关,导致其细胞脱水。本文稿旨在评估结冰对耐霜冻植物组织的影响,重点是专门应用于木贼透明质酸的结构特性。在这种特殊情况下,在所谓的维管和髓腔中会形成细胞外冰,这会导致组织细胞脱水以避免细胞内冰的形成,这对细胞乃至整个植物都是致命的。为了解决工厂中的潜在现象,引入了基于多孔介质理论的热-水-力学耦合模型作为建模框架。组织细胞的脱水被称为准双孔隙性质,因为水在细胞间空间中是可移动的,但局限于细胞内空间中的细胞,因此在运动学上耦合到它们。然而,考虑了水在整个细胞壁上的大量交换。所提供的数值示例显示了基础过程的强耦合以及准双孔隙度特征。最后,它支持了将瓦管作为冰形成的主要位置的实验发现。

更新日期:2021-04-16
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