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

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18.4.1 Diffuse Waves

For an isotherm of Langmuir shape, if the column is initially loaded at some high concentration, chigh, and is fed with a fluid of low concentration, clow, the result is a diffuse or proportional pattern wave. Since the derivative of q with respect to c exists,

Image

(18-32a)

We can now calculate this derivative for any desired nonlinear isotherm [for linear isotherms dq/dc = K′ and the result is Eq. (18-15)]. Specifically for the Langmuir isotherm in Eq. (18-6c)

Image

(18-32b)

and the solute wave velocity is

(18-32c)

Note that for nonlinear ...

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