Transport phenomena mathematical modelling

General mathematical model. Considering that all we have is a mass transfer phenomenon, then, in such a system, the solid concentration changes in each plant device. With the considered coordinates system and after the notations given in Fig. 3.8, we can write the mathematical model of the filter unit as a particularization of the flow equations and the solid transport equation ... 

The phenomenon of concentration polarization is important in electrodialysis, because it ultimately limits the rate at which ion transport can occur. Concentration polarization will be discussed first in a descriptive manner. Then, a simplified mathematical model will be used to show the quantitative aspects of concentrations polarization and explain the important concept of "limiting current density". 

The occurrence of the LCST has been established as a necessary condition for the FRRPP phenomenon in free-radical polymerization systems. In Section 2.2, an initial attempt was made to advance a mathematical model that incorporates not only the LCST behavior but also the reaction-transport aspects of the FRRPP process. In... 

Once the hydrocarbons have been solubilized in the formation water, they move with the water under the influence of elevation and pressure (fluid), thermal, electroosmotic and chemicoosmotic potentials. Of these, the fluid potential is the most important and the best known. The fluid potential is defined as the amount of work required to transport a unit mass of fluid from an arbitrary chosen datum (usually sea level) and state to the position and state of the point considered. The classic work of Hubbert (192) on the theory of groundwater motion was the first published account of the basinwide flow of fluids that considered the problem in exact mathematical terms as a steady-state phenomenon. His concept of formation fluid flow is shown in Figure 3A. However, incongruities in the relation between total hydraulic head and depth below surface in topographic low areas suggested that Hubbert s model was incomplete (193). Expanding on the work of Hubbert, Toth (194, 195) introduced a mathematical mfcdel in which exact flow patterns are... 

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