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Separation Process Engineering: Includes Mass Transfer Analysis, Third Edition by Phillip C. Wankat

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18.6.2 Column Mass Balances

The equations for film diffusion and diffusion inside the particle tell us what is happening at a given location inside the column. To determine what is happening for the entire column we need a mass balance on the solid and fluid phases. In order to write reasonably simple balance equations, we usually make a number of “common-sense” assumptions such as those listed in Table 18-6. The resulting equation for the two-porosity model is

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(18-54)

The first three terms are the accumulation in the fluid between particles, within the pore fluid with an average concentration , and sorbed on the solid, respectively. The fourth ...

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