Two-scale model

We simulate the through-diffusion experiment of cesium (Cs) for Kunipia F by using a two-scale model (that is, excluding the mesoscale domain). The dry desity of bentonite 1.4 Mg/m. The hydration number n is 2.5. 

Development work for prestressed concrete reactor structures has been proceeding in the United States for the past several years. A wide background was already in existence in this country on prestressed concrete technology related to large tanks and beam structures. Two scale models of such reactor pressure vessels have been tested at General Atomic as part of a USAEC program for High-Temperature Gas-Cooled Reactors. 

Han, X., Pan, J., 2011. Polymer chain scission, oligomer production and diffusion a two-scale model for degradation of bioresorbable polyesters. Acta Biomaterialia 538—547. 

The first reduction of the two-scale model that we consider is already included in the equations from Table 3.1 and refers to the reaction-diffusion problem inside catalytic particles. The treatment of this question based on the effectiveness factor concept (rf) is widely generalized in the literature, after the seminal works of Damkohler [77], Thiele [78], and Zeldovitch [79]. It may be defined for a reaction j with respect to the conditions prevailing at the pellet surface by Ref. [80] ... 

Moyne C, Murad MA (2006) A two-scale model for coupled electro-chemo-mechanical phenomena and Onsager s reciprocity relations in expansive clays I homogenization analysis. Transp Porous Media 62 333-380... 

While this two-scale model allows for a natural connection between the two scales (i.e., the inclusion-boundary behavior and the atomistic cell behavior are connected via the common strain transformation), it also is limited by the required uniformity of strain in the atomistic inclusion (through the periodic continuation conditions on the atomistic cell) and in each of the tetrahedra of the Delaunay tessellation. 

Similar calculations can be done for the vials of the other shelves of the batch, thus giving the mean value and the standard deviation of the interface temperature and position in the whole chamber both values could be used for monitoring and control purposes and the spread in the distribution ofthe value of interest should be taken into account by manufacturers in the design of equipment and in choosing the operating conditions. Moreover, the two-scale model allows quantitative evaluation of... 

To reduce the freedom (four parameters) the bundle thickness D will be taken as 60 nm using the results of Jakli et al. [73], [79] which is also in agreement with the SEM study [81], Further, will be used the ratio tj /tj of the polymer concentration in the bundle ( / ) to the average concentration rj) as a parameter instead of the interbundle distance B. Thus the two-scale model is controlled by only two independent structural parameters R and... 

In order to model the mechanical behaviour of chondrocytes, we developed a two-scale model of the articular cartilage and embedded cells [14, 15, 16, 17]. The macroscale model was used to represent the cartilage tissue, the microscale model, to represent individual cells. 

Figure 10.15 Schematic diagram of the two-scale model for the biodegradation of a plate in which the diffusion of oligomers occurs only in the thickness direction (a-b) of the plate. Source Reproduced from Reference 6 with permission.)...

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