Supported metals mathematical models

C.G. Vayenas, and G. Pitselis, Mathematical Modeling of Electrochemical Promotion and of Metal-Support Interactions, I EC Research 40(20), 4209-4215 (2001). 

MATHEMATICAL MODELING DIMENSIONLESS NUMBERS GOVERNING ELECTROCHEMICAL PROMOTION AND METAL-SUPPORT INTERACTIONS... 

Two mathematical models for sintering mechanisms for supported metals have been put forward (1) a particle migration model where particles migrate over the surface of the support, collide and fuse, causing loss in dispersion (e.g. Ruckenstein et al 1984) and (2) an atomic migration model involving the... 

Mathematical Modeling and Range of Operability of Electrochemical Promotion and of Metal-Support Interactions... 

Very often the rates of chemical transformations are affected by the rates of other processes, such as heat and mass transfer. The process should be treated as a part of kinetics. The gas/liquid mass transfer in multiphase heterogeneous and homogeneous catalytic reactions could be treated in a similar way. The mathematical framework for modelling diffusion inside solid catalyst particles of supported metal catalysts or immolisided enzymes does not differ that much, but proper care should be taken of the reaction kinetics. 

Although adsorptive processes have been extensively studied for gas separation, catalysis, it is only recently that they have been proposed for heat management. M. Tather et al. [51] developed a mathematical model for a novel arrangement proposed in order to cope with the drawbacks originating from the inefficient heat and mass transfer in adsorption heating pumps with Zeolite 4A used as the adsorbent. L. Bonaccorsi et al. [52] have successfully synthesized zeolite coatings on metal supports with thickness ranging from few to several tens of microns, which had important technical applications in adsorption heat pumps. 

Ata, O.N. (2007) Mathematical modelling of unsteady-state transport of metal ions through supported liquid membrane. Hydrometallurgy, 87,148-156. 

In view of the functional similarity of electrochemical promotion and metal-support interactions, a mathematical promoter reaction-promoter diffusion model has been developed recently [138] in order to identify the dimensionless groups, which govern both phenomena and quantify their limits of applicability. 

Sintering of metals loaded on a support also leads to deactivation, for example, with Pt/alumina catalysts used in the reforming of hydrocarbons. The phenomenon has been modeled in mathematical terms by Elynn and Wanke [1974, 1975] and by Riickenstein and Pulvermacher [1973] and reviewed by Dadyburjor [1987]. The whole field of solid-state transformations was... 

---